Greatest Common Factor of 9757/497, 1008/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9757/497, 1008/580

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 9757/497,1008/580

Given fractions are 9757/497,1008/580

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9757,1008

Greatest Common Factor of Numerators i.e. GCF of 9757,1008 is 1 .

LCM of Denominators means LCM of 497,580 as per the given fractions.

LCM of 497,580 is 288260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9757,1008

GCF of Fractions 9757/497,1008/580 is 1/288260

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

Greatest Common Factor of 9757,1008 By Matching Biggest Common Factor Method

Greatest Common Factor of 9757,1008 By Matching Biggest Common Factor Method

Factors of 9757

List of positive integer factors of 9757 that divides 9757 without a remainder.

1,11,887,9757

Factors of 1008

List of positive integer factors of 1008 that divides 1008 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008

Greatest Common Factor

We found the factors 9757,1008 . The biggest common factor number is the GCF number.
So the greatest common factor 9757,1008 is 1.

Lets's calculate LCM of 497,580

Given numbers has no common factors except 1. So, there LCM is their product i.e 288260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288260

Therefore, the GCF of Fractions 9757/497,1008/580 is 1/288260

Least Common Multiple of 497,580 with GCF Formula

Least Common Multiple of 497,580 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 497,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,580) = 1

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

GCF(497,580) x common factors =1 x 1 = 1

LCM(497,580) = ( 497 × 580 ) / 1

LCM(497,580) = 288260 / 1

LCM(497,580) = 288260


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9757/497, 1008/580

1. 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.

2. What is the GCF of Fractions for 9757/497, 1008/580?

Answer: GCF of Numerators as per given numbers 9757/497, 1008/580 is

GCF of Numerators i.e. for 9757,1008 is 1

LCM of denominators i.e. for 497,580 is 288260.

Thus, GCF of Fractions is 1/288260.Finally, GCF of Fractions for 9757/497, 1008/580 is 1/288260.