How to Find GCF of 9307/392, 2157/6420?

GCF of 9307/392, 2157/6420

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 9307/392, 2157/6420 i.e 1/629160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9307/392, 2157/6420.

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 9307/392,2157/6420?

Given fractions are 9307/392,2157/6420

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 9307/392,2157/6420, numerators are 9307,2157

Denominators are 392,6420

The GCF of 9307,2157 is 1 .

LCM of 392,6420 is 629160.

The greatest common factor of 9307/392,2157/6420 = [GCF of 9307,2157]/[LCM of 392,6420]= 1/629160

Therefore, the GCF of 9307/392,2157/6420 is 1/629160.

Greatest Common Factor of 9307,2157

To find the highest common factor of 9307,2157, we have to find the factors of both numbers and list the highest common factor.

The factors of 9307 are 1, 41, 227, 9307

The factors of 2157 are 1, 3, 719, 2157

The HCF of 9307,2157 is 1.

Lets's calculate GCF of 9307,2157

Greatest Common Factor (GCF) of 9307,2157 By Common Division

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

Greatest Common Factor of 9307,2157 By Matching Biggest Common Factor Method

Now, list down the factors of 9307

1,41,227,9307

Now, list down the factors of 2157

1,3,719,2157

Greatest Common Factor

We found the factors 9307,2157 . The biggest common factor number is the GCF number.
So the greatest common factor 9307,2157 is 1.

Lets's calculate LCM of 392,6420

Lowest Common Multiple of 392,6420 using Common Division

2	392, 6420
2	196, 3210
	98, 1605

∴ So the LCM of the given numbers is 2 x 2 x 98 x 1605 = 629160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/629160

Therefore, the GCF of Fractions 9307/392,2157/6420 is 1/629160

Least Common Multiple of 392,6420 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 392,6420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,6420) = 4

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

GCF(392,6420) x common factors =4 x 1 = 4

LCM(392,6420) = ( 392 × 6420 ) / 4

LCM(392,6420) = 2516640 / 4

LCM(392,6420) = 629160

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FAQs on GCF of Fractions of 9307/392, 2157/6420

1. What is the HCF of 9307,2157?

The HCF of 9307,2157 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 9307/392, 2157/6420?

Answer: GCF of Numerators as per given numbers 9307/392, 2157/6420 is

GCF of Numerators i.e. for 9307,2157 is 1

LCM of denominators i.e. for 392,6420 is 629160.

Thus, GCF of Fractions is 1/629160.Finally, GCF of Fractions for 9307/392, 2157/6420 is 1/629160.