How to Find GCF of 92/714, 26/8772?

GCF of 92/714, 26/8772

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 92/714, 26/8772 i.e 2/61404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/714, 26/8772.

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 92/714,26/8772?

Given fractions are 92/714,26/8772

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 92/714,26/8772, numerators are 92,26

Denominators are 714,8772

The GCF of 92,26 is 2 .

LCM of 714,8772 is 61404.

The greatest common factor of 92/714,26/8772 = [GCF of 92,26]/[LCM of 714,8772]= 2/61404

Therefore, the GCF of 92/714,26/8772 is 2/61404.

Greatest Common Factor of 92,26

To find the highest common factor of 92,26, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 26 are 1, 2, 13, 26

The HCF of 92,26 is 2.

Lets's calculate GCF of 92,26

Greatest Common Factor (GCF) of 92,26 By Common Division

2	92, 26
	46, 13

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

Greatest Common Factor of 92,26 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 26

1,2,13,26

Greatest Common Factor

We found the factors 92,26 . The biggest common factor number is the GCF number.
So the greatest common factor 92,26 is 2.

Lets's calculate LCM of 714,8772

Lowest Common Multiple of 714,8772 using Common Division

2	714, 8772
3	357, 4386
17	119, 1462
	7, 86

∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 86 = 61404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61404

Therefore, the GCF of Fractions 92/714,26/8772 is 2/61404

Least Common Multiple of 714,8772 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 714,8772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,8772) = 102

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

GCF(714,8772) x common factors =102 x 1 = 102

LCM(714,8772) = ( 714 × 8772 ) / 102

LCM(714,8772) = 6263208 / 102

LCM(714,8772) = 61404

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FAQs on GCF of Fractions of 92/714, 26/8772

1. What is the HCF of 92,26?

The HCF of 92,26 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 92/714, 26/8772?

Answer: GCF of Numerators as per given numbers 92/714, 26/8772 is

GCF of Numerators i.e. for 92,26 is 2

LCM of denominators i.e. for 714,8772 is 61404.

Thus, GCF of Fractions is 2/61404.Finally, GCF of Fractions for 92/714, 26/8772 is 2/61404.