Greatest Common Factor of 695/111, 145/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 695/111, 145/354

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 695/111,145/354

Given fractions are 695/111,145/354

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 695,145

Greatest Common Factor of Numerators i.e. GCF of 695,145 is 5 .

LCM of Denominators means LCM of 111,354 as per the given fractions.

LCM of 111,354 is 13098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 695,145

GCF of Fractions 695/111,145/354 is 5/13098

5 695, 145
139, 29

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 695,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,145 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 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 695,145 . The biggest common factor number is the GCF number.
So the greatest common factor 695,145 is 5.

Lets's calculate LCM of 111,354

3 111, 354
37, 118

∴ So the LCM of the given numbers is 3 x 37 x 118 = 13098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/13098

Therefore, the GCF of Fractions 695/111,145/354 is 5/13098

Least Common Multiple of 111,354 with GCF Formula

Least Common Multiple of 111,354 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 111,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,354) = 3

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

GCF(111,354) x common factors =3 x 1 = 3

LCM(111,354) = ( 111 × 354 ) / 3

LCM(111,354) = 39294 / 3

LCM(111,354) = 13098


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 695/111, 145/354

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 695/111, 145/354?

Answer: GCF of Numerators as per given numbers 695/111, 145/354 is

GCF of Numerators i.e. for 695,145 is 5

LCM of denominators i.e. for 111,354 is 13098.

Thus, GCF of Fractions is 5/13098.Finally, GCF of Fractions for 695/111, 145/354 is 5/13098.