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GCF of 7132/360, 9466/758

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 7132/360, 9466/758 i.e 2/136440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7132/360, 9466/758.

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 7132/360,9466/758?

Given fractions are 7132/360,9466/758

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 7132/360,9466/758, numerators are 7132,9466

Denominators are 360,758

The GCF of 7132,9466 is 2 .

LCM of 360,758 is 136440.

The greatest common factor of 7132/360,9466/758 = [GCF of 7132,9466]/[LCM of 360,758]= 2/136440

Therefore, the GCF of 7132/360,9466/758 is 2/136440.

Greatest Common Factor of 7132,9466

To find the highest common factor of 7132,9466, we have to find the factors of both numbers and list the highest common factor.

The factors of 7132 are 1, 2, 4, 1783, 3566, 7132

The factors of 9466 are 1, 2, 4733, 9466

The HCF of 7132,9466 is 2.

Lets's calculate GCF of 7132,9466

Greatest Common Factor (GCF) of 7132,9466 By Common Division

2 7132, 9466
3566, 4733

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7132,9466 By Matching Biggest Common Factor Method

Greatest Common Factor of 7132,9466 By Matching Biggest Common Factor Method

Now, list down the factors of 7132

:

1,2,4,1783,3566,7132

Now, list down the factors of 9466

:

1,2,4733,9466

Greatest Common Factor

We found the factors 7132,9466 . The biggest common factor number is the GCF number.
So the greatest common factor 7132,9466 is 2.


Lets's calculate LCM of 360,758

Lowest Common Multiple of 360,758 using Common Division

2 360, 758
180, 379

∴ So the LCM of the given numbers is 2 x 180 x 379 = 136440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136440

Therefore, the GCF of Fractions 7132/360,9466/758 is 2/136440

Least Common Multiple of 360,758 with GCF Formula

Least Common Multiple of 360,758 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 360,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,758) = 2

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

GCF(360,758) x common factors =2 x 1 = 2

LCM(360,758) = ( 360 × 758 ) / 2

LCM(360,758) = 272880 / 2

LCM(360,758) = 136440


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7132/360, 9466/758

1. What is the HCF of 7132,9466?

The HCF of 7132,9466 is 2

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 7132/360, 9466/758?

Answer: GCF of Numerators as per given numbers 7132/360, 9466/758 is

GCF of Numerators i.e. for 7132,9466 is 2

LCM of denominators i.e. for 360,758 is 136440.

Thus, GCF of Fractions is 2/136440.Finally, GCF of Fractions for 7132/360, 9466/758 is 2/136440.