Greatest Common Factor of 690/84, 316/54, 965/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/84, 316/54, 965/688

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 690/84,316/54,965/688

Given fractions are 690/84,316/54,965/688

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 690,316,965

Greatest Common Factor of Numerators i.e. GCF of 690,316,965 is 1 .

LCM of Denominators means LCM of 84,54,688 as per the given fractions.

LCM of 84,54,688 is 130032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,316,965

GCF of Fractions 690/84,316/54,965/688 is 1/130032

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

Greatest Common Factor of 690,316,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,316,965 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

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 690,316,965 . The biggest common factor number is the GCF number.
So the greatest common factor 690,316,965 is 1.

Lets's calculate LCM of 84,54,688

2 84, 54, 688
2 42, 27, 344
3 21, 27, 172
7, 9, 172

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 9 x 172 = 130032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130032

Therefore, the GCF of Fractions 690/84,316/54,965/688 is 1/130032

Least Common Multiple of 84,54,688 with GCF Formula

Least Common Multiple of 84,54,688 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 84,54,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,54,688) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(84,54,688) x common factors =2 x 12 = 24

LCM(84,54,688) = ( 84 × 54 × 688 ) / 24

LCM(84,54,688) = 3120768 / 24

LCM(84,54,688) = 130032


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 690/84, 316/54, 965/688

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 690/84, 316/54, 965/688?

Answer: GCF of Numerators as per given numbers 690/84, 316/54, 965/688 is

GCF of Numerators i.e. for 690,316,965 is 1

LCM of denominators i.e. for 84,54,688 is 130032.

Thus, GCF of Fractions is 1/130032.Finally, GCF of Fractions for 690/84, 316/54, 965/688 is 1/130032.