Greatest Common Factor of 1497/767, 1780/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1497/767, 1780/916

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 1497/767,1780/916

Given fractions are 1497/767,1780/916

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 1497,1780

Greatest Common Factor of Numerators i.e. GCF of 1497,1780 is 1 .

LCM of Denominators means LCM of 767,916 as per the given fractions.

LCM of 767,916 is 702572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1497,1780

GCF of Fractions 1497/767,1780/916 is 1/702572

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

Greatest Common Factor of 1497,1780 By Matching Biggest Common Factor Method

Greatest Common Factor of 1497,1780 By Matching Biggest Common Factor Method

Factors of 1497

List of positive integer factors of 1497 that divides 1497 without a remainder.

1,3,499,1497

Factors of 1780

List of positive integer factors of 1780 that divides 1780 without a remainder.

1,2,4,5,10,20,89,178,356,445,890,1780

Greatest Common Factor

We found the factors 1497,1780 . The biggest common factor number is the GCF number.
So the greatest common factor 1497,1780 is 1.

Lets's calculate LCM of 767,916

Given numbers has no common factors except 1. So, there LCM is their product i.e 702572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/702572

Therefore, the GCF of Fractions 1497/767,1780/916 is 1/702572

Least Common Multiple of 767,916 with GCF Formula

Least Common Multiple of 767,916 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 767,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,916) = 1

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

GCF(767,916) x common factors =1 x 1 = 1

LCM(767,916) = ( 767 × 916 ) / 1

LCM(767,916) = 702572 / 1

LCM(767,916) = 702572


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 1497/767, 1780/916

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 1497/767, 1780/916?

Answer: GCF of Numerators as per given numbers 1497/767, 1780/916 is

GCF of Numerators i.e. for 1497,1780 is 1

LCM of denominators i.e. for 767,916 is 702572.

Thus, GCF of Fractions is 1/702572.Finally, GCF of Fractions for 1497/767, 1780/916 is 1/702572.