How to Find GCF of 9707/113, 2968/9264?

GCF of 9707/113, 2968/9264

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 9707/113, 2968/9264 i.e 1/1046832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9707/113, 2968/9264.

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 9707/113,2968/9264?

Given fractions are 9707/113,2968/9264

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 9707/113,2968/9264, numerators are 9707,2968

Denominators are 113,9264

The GCF of 9707,2968 is 1 .

LCM of 113,9264 is 1046832.

The greatest common factor of 9707/113,2968/9264 = [GCF of 9707,2968]/[LCM of 113,9264]= 1/1046832

Therefore, the GCF of 9707/113,2968/9264 is 1/1046832.

Greatest Common Factor of 9707,2968

To find the highest common factor of 9707,2968, we have to find the factors of both numbers and list the highest common factor.

The factors of 9707 are 1, 17, 571, 9707

The factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968

The HCF of 9707,2968 is 1.

Lets's calculate GCF of 9707,2968

Greatest Common Factor (GCF) of 9707,2968 By Common Division

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

Greatest Common Factor of 9707,2968 By Matching Biggest Common Factor Method

Now, list down the factors of 9707

1,17,571,9707

Now, list down the factors of 2968

1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968

Greatest Common Factor

We found the factors 9707,2968 . The biggest common factor number is the GCF number.
So the greatest common factor 9707,2968 is 1.

Lets's calculate LCM of 113,9264

Lowest Common Multiple of 113,9264 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1046832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1046832

Therefore, the GCF of Fractions 9707/113,2968/9264 is 1/1046832

Least Common Multiple of 113,9264 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 113,9264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,9264) = 1

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

GCF(113,9264) x common factors =1 x 1 = 1

LCM(113,9264) = ( 113 × 9264 ) / 1

LCM(113,9264) = 1046832 / 1

LCM(113,9264) = 1046832

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FAQs on GCF of Fractions of 9707/113, 2968/9264

1. What is the HCF of 9707,2968?

The HCF of 9707,2968 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 9707/113, 2968/9264?

Answer: GCF of Numerators as per given numbers 9707/113, 2968/9264 is

GCF of Numerators i.e. for 9707,2968 is 1

LCM of denominators i.e. for 113,9264 is 1046832.

Thus, GCF of Fractions is 1/1046832.Finally, GCF of Fractions for 9707/113, 2968/9264 is 1/1046832.