Greatest Common Factor of 9468/761, 2497/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9468/761, 2497/450

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 9468/761,2497/450

Given fractions are 9468/761,2497/450

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 9468,2497

Greatest Common Factor of Numerators i.e. GCF of 9468,2497 is 1 .

LCM of Denominators means LCM of 761,450 as per the given fractions.

LCM of 761,450 is 342450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9468,2497

GCF of Fractions 9468/761,2497/450 is 1/342450

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

Greatest Common Factor of 9468,2497 By Matching Biggest Common Factor Method

Greatest Common Factor of 9468,2497 By Matching Biggest Common Factor Method

Factors of 9468

List of positive integer factors of 9468 that divides 9468 without a remainder.

1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468

Factors of 2497

List of positive integer factors of 2497 that divides 2497 without a remainder.

1,11,227,2497

Greatest Common Factor

We found the factors 9468,2497 . The biggest common factor number is the GCF number.
So the greatest common factor 9468,2497 is 1.

Lets's calculate LCM of 761,450

Given numbers has no common factors except 1. So, there LCM is their product i.e 342450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342450

Therefore, the GCF of Fractions 9468/761,2497/450 is 1/342450

Least Common Multiple of 761,450 with GCF Formula

Least Common Multiple of 761,450 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 761,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,450) = 1

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

GCF(761,450) x common factors =1 x 1 = 1

LCM(761,450) = ( 761 × 450 ) / 1

LCM(761,450) = 342450 / 1

LCM(761,450) = 342450


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 9468/761, 2497/450

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 9468/761, 2497/450?

Answer: GCF of Numerators as per given numbers 9468/761, 2497/450 is

GCF of Numerators i.e. for 9468,2497 is 1

LCM of denominators i.e. for 761,450 is 342450.

Thus, GCF of Fractions is 1/342450.Finally, GCF of Fractions for 9468/761, 2497/450 is 1/342450.