How to Find GCF of 748/586, 132/931?

GCF of 748/586, 132/931

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 748/586, 132/931 i.e 44/545566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 748/586, 132/931.

Enter two or more fractions separated by "commas"

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

What is the GCF of 748/586,132/931?

Given fractions are 748/586,132/931

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 748/586,132/931, numerators are 748,132

Denominators are 586,931

The GCF of 748,132 is 44 .

LCM of 586,931 is 545566.

The greatest common factor of 748/586,132/931 = [GCF of 748,132]/[LCM of 586,931]= 44/545566

Therefore, the GCF of 748/586,132/931 is 44/545566.

Greatest Common Factor of 748,132

To find the highest common factor of 748,132, we have to find the factors of both numbers and list the highest common factor.

The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The HCF of 748,132 is 44.

Lets's calculate GCF of 748,132

Greatest Common Factor (GCF) of 748,132 By Common Division

2	748, 132
2	374, 66
11	187, 33
	17, 3

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 748,132 By Matching Biggest Common Factor Method

Now, list down the factors of 748

1,2,4,11,17,22,34,44,68,187,374,748

Now, list down the factors of 132

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 748,132 . The biggest common factor number is the GCF number.
So the greatest common factor 748,132 is 44.

Lets's calculate LCM of 586,931

Lowest Common Multiple of 586,931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 545566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/545566

Therefore, the GCF of Fractions 748/586,132/931 is 44/545566

Least Common Multiple of 586,931 with GCF Formula

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

We need to calculate greatest common factor of 586,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,931) = 1

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

GCF(586,931) x common factors =1 x 1 = 1

LCM(586,931) = ( 586 × 931 ) / 1

LCM(586,931) = 545566 / 1

LCM(586,931) = 545566

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FAQs on GCF of Fractions of 748/586, 132/931

1. What is the HCF of 748,132?

The HCF of 748,132 is 44

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 748/586, 132/931?

Answer: GCF of Numerators as per given numbers 748/586, 132/931 is

GCF of Numerators i.e. for 748,132 is 44

LCM of denominators i.e. for 586,931 is 545566.

Thus, GCF of Fractions is 44/545566.Finally, GCF of Fractions for 748/586, 132/931 is 44/545566.