Greatest Common Factor of 695/168, 1964/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 695/168, 1964/584

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 695/168,1964/584

Given fractions are 695/168,1964/584

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 695,1964

Greatest Common Factor of Numerators i.e. GCF of 695,1964 is 1 .

LCM of Denominators means LCM of 168,584 as per the given fractions.

LCM of 168,584 is 12264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 695,1964

GCF of Fractions 695/168,1964/584 is 1/12264

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

Greatest Common Factor of 695,1964 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,1964 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 1964

List of positive integer factors of 1964 that divides 1964 without a remainder.

1,2,4,491,982,1964

Greatest Common Factor

We found the factors 695,1964 . The biggest common factor number is the GCF number.
So the greatest common factor 695,1964 is 1.

Lets's calculate LCM of 168,584

2 168, 584
2 84, 292
2 42, 146
21, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 21 x 73 = 12264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12264

Therefore, the GCF of Fractions 695/168,1964/584 is 1/12264

Least Common Multiple of 168,584 with GCF Formula

Least Common Multiple of 168,584 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 168,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,584) = 8

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

GCF(168,584) x common factors =8 x 1 = 8

LCM(168,584) = ( 168 × 584 ) / 8

LCM(168,584) = 98112 / 8

LCM(168,584) = 12264


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 695/168, 1964/584

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 695/168, 1964/584?

Answer: GCF of Numerators as per given numbers 695/168, 1964/584 is

GCF of Numerators i.e. for 695,1964 is 1

LCM of denominators i.e. for 168,584 is 12264.

Thus, GCF of Fractions is 1/12264.Finally, GCF of Fractions for 695/168, 1964/584 is 1/12264.