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GCF of 9/74, 43/71, 15/180, 508/304

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 9/74, 43/71, 15/180, 508/304 i.e 1/35937360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/74, 43/71, 15/180, 508/304.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9/74,43/71,15/180,508/304?

Given fractions are 9/74,43/71,15/180,508/304

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9/74,43/71,15/180,508/304, numerators are 9,43,15,508

Denominators are 74,71,180,304

The GCF of 9,43,15,508 is 1 .

LCM of 74,71,180,304 is 35937360.

The greatest common factor of 9/74,43/71,15/180,508/304 = [GCF of 9,43,15,508]/[LCM of 74,71,180,304]= 1/35937360

Therefore, the GCF of 9/74,43/71,15/180,508/304 is 1/35937360.

Greatest Common Factor of 9,43,15,508

To find the highest common factor of 9,43,15,508, we have to find the factors of both numbers and list the highest common factor.

The factors of 9 are 1, 3, 9

The factors of 43 are 1, 43

The factors of 15 are 1, 3, 5, 15

The factors of 508 are 1, 2, 4, 127, 254, 508

The HCF of 9,43,15,508 is 1.

Lets's calculate GCF of 9,43,15,508

Greatest Common Factor (GCF) of 9,43,15,508 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9,43,15,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,43,15,508 By Matching Biggest Common Factor Method

Now, list down the factors of 9

:

1,3,9

Now, list down the factors of 43

:

1,43

Now, list down the factors of 15

:

1,3,5,15

Now, list down the factors of 508

:

1,2,4,127,254,508

Greatest Common Factor

We found the factors 9,43,15,508 . The biggest common factor number is the GCF number.
So the greatest common factor 9,43,15,508 is 1.


Lets's calculate LCM of 74,71,180,304

Lowest Common Multiple of 74,71,180,304 using Common Division

2 74, 71, 180, 304
2 37, 71, 90, 152
37, 71, 45, 76

∴ So the LCM of the given numbers is 2 x 2 x 37 x 71 x 45 x 76 = 35937360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35937360

Therefore, the GCF of Fractions 9/74,43/71,15/180,508/304 is 1/35937360

Least Common Multiple of 74,71,180,304 with GCF Formula

Least Common Multiple of 74,71,180,304 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 74,71,180,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,71,180,304) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(74,71,180,304) x common factors =1 x 8 = 8

LCM(74,71,180,304) = ( 74 × 71 × 180 × 304 ) / 8

LCM(74,71,180,304) = 287498880 / 8

LCM(74,71,180,304) = 35937360


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9/74, 43/71, 15/180, 508/304

1. What is the HCF of 9,43,15,508?

The HCF of 9,43,15,508 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9/74, 43/71, 15/180, 508/304?

Answer: GCF of Numerators as per given numbers 9/74, 43/71, 15/180, 508/304 is

GCF of Numerators i.e. for 9,43,15,508 is 1

LCM of denominators i.e. for 74,71,180,304 is 35937360.

Thus, GCF of Fractions is 1/35937360.Finally, GCF of Fractions for 9/74, 43/71, 15/180, 508/304 is 1/35937360.