Greatest Common Factor of 9651/642, 5300/6473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9651/642, 5300/6473

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 9651/642,5300/6473

Given fractions are 9651/642,5300/6473

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 9651,5300

Greatest Common Factor of Numerators i.e. GCF of 9651,5300 is 1 .

LCM of Denominators means LCM of 642,6473 as per the given fractions.

LCM of 642,6473 is 4155666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9651,5300

GCF of Fractions 9651/642,5300/6473 is 1/4155666

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

Greatest Common Factor of 9651,5300 By Matching Biggest Common Factor Method

Greatest Common Factor of 9651,5300 By Matching Biggest Common Factor Method

Factors of 9651

List of positive integer factors of 9651 that divides 9651 without a remainder.

1,3,3217,9651

Factors of 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300

Greatest Common Factor

We found the factors 9651,5300 . The biggest common factor number is the GCF number.
So the greatest common factor 9651,5300 is 1.

Lets's calculate LCM of 642,6473

Given numbers has no common factors except 1. So, there LCM is their product i.e 4155666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4155666

Therefore, the GCF of Fractions 9651/642,5300/6473 is 1/4155666

Least Common Multiple of 642,6473 with GCF Formula

Least Common Multiple of 642,6473 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 642,6473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,6473) = 1

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

GCF(642,6473) x common factors =1 x 1 = 1

LCM(642,6473) = ( 642 × 6473 ) / 1

LCM(642,6473) = 4155666 / 1

LCM(642,6473) = 4155666


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 9651/642, 5300/6473

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 9651/642, 5300/6473?

Answer: GCF of Numerators as per given numbers 9651/642, 5300/6473 is

GCF of Numerators i.e. for 9651,5300 is 1

LCM of denominators i.e. for 642,6473 is 4155666.

Thus, GCF of Fractions is 1/4155666.Finally, GCF of Fractions for 9651/642, 5300/6473 is 1/4155666.