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GCF of 410/30, 747/5152

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 410/30, 747/5152 i.e 1/77280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/30, 747/5152.

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 410/30,747/5152?

Given fractions are 410/30,747/5152

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 410/30,747/5152, numerators are 410,747

Denominators are 30,5152

The GCF of 410,747 is 1 .

LCM of 30,5152 is 77280.

The greatest common factor of 410/30,747/5152 = [GCF of 410,747]/[LCM of 30,5152]= 1/77280

Therefore, the GCF of 410/30,747/5152 is 1/77280.

Greatest Common Factor of 410,747

To find the highest common factor of 410,747, we have to find the factors of both numbers and list the highest common factor.

The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410

The factors of 747 are 1, 3, 9, 83, 249, 747

The HCF of 410,747 is 1.

Lets's calculate GCF of 410,747

Greatest Common Factor (GCF) of 410,747 By Common Division

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

Greatest Common Factor of 410,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,747 By Matching Biggest Common Factor Method

Now, list down the factors of 410

:

1,2,5,10,41,82,205,410

Now, list down the factors of 747

:

1,3,9,83,249,747

Greatest Common Factor

We found the factors 410,747 . The biggest common factor number is the GCF number.
So the greatest common factor 410,747 is 1.

Lets's calculate LCM of 30,5152

Lowest Common Multiple of 30,5152 using Common Division

2 30, 5152
15, 2576

∴ So the LCM of the given numbers is 2 x 15 x 2576 = 77280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77280

Therefore, the GCF of Fractions 410/30,747/5152 is 1/77280

Least Common Multiple of 30,5152 with GCF Formula

Least Common Multiple of 30,5152 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 30,5152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,5152) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(30,5152) x common factors =2 x 1 = 2

LCM(30,5152) = ( 30 × 5152 ) / 2

LCM(30,5152) = 154560 / 2

LCM(30,5152) = 77280


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FAQs on GCF of Fractions of 410/30, 747/5152

1. What is the HCF of 410,747?

The HCF of 410,747 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 410/30, 747/5152?

Answer: GCF of Numerators as per given numbers 410/30, 747/5152 is

GCF of Numerators i.e. for 410,747 is 1

LCM of denominators i.e. for 30,5152 is 77280.

Thus, GCF of Fractions is 1/77280.Finally, GCF of Fractions for 410/30, 747/5152 is 1/77280.