Greatest Common Factor of 874/82, 965/1680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 874/82, 965/1680

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 874/82,965/1680

Given fractions are 874/82,965/1680

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 874,965

Greatest Common Factor of Numerators i.e. GCF of 874,965 is 1 .

LCM of Denominators means LCM of 82,1680 as per the given fractions.

LCM of 82,1680 is 68880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 874,965

GCF of Fractions 874/82,965/1680 is 1/68880

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

Greatest Common Factor of 874,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,965 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 874,965 . The biggest common factor number is the GCF number.
So the greatest common factor 874,965 is 1.

Lets's calculate LCM of 82,1680

2 82, 1680
41, 840

∴ So the LCM of the given numbers is 2 x 41 x 840 = 68880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68880

Therefore, the GCF of Fractions 874/82,965/1680 is 1/68880

Least Common Multiple of 82,1680 with GCF Formula

Least Common Multiple of 82,1680 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 82,1680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,1680) = 2

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

GCF(82,1680) x common factors =2 x 1 = 2

LCM(82,1680) = ( 82 × 1680 ) / 2

LCM(82,1680) = 137760 / 2

LCM(82,1680) = 68880


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 874/82, 965/1680

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 874/82, 965/1680?

Answer: GCF of Numerators as per given numbers 874/82, 965/1680 is

GCF of Numerators i.e. for 874,965 is 1

LCM of denominators i.e. for 82,1680 is 68880.

Thus, GCF of Fractions is 1/68880.Finally, GCF of Fractions for 874/82, 965/1680 is 1/68880.