Greatest Common Factor of 435/27, 700/85, 122/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/27, 700/85, 122/393

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 435/27,700/85,122/393

Given fractions are 435/27,700/85,122/393

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 435,700,122

Greatest Common Factor of Numerators i.e. GCF of 435,700,122 is 1 .

LCM of Denominators means LCM of 27,85,393 as per the given fractions.

LCM of 27,85,393 is 300645 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,700,122

GCF of Fractions 435/27,700/85,122/393 is 1/300645

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

Greatest Common Factor of 435,700,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,700,122 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 435,700,122 . The biggest common factor number is the GCF number.
So the greatest common factor 435,700,122 is 1.

Lets's calculate LCM of 27,85,393

3 27, 85, 393
9, 85, 131

∴ So the LCM of the given numbers is 3 x 9 x 85 x 131 = 300645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300645

Therefore, the GCF of Fractions 435/27,700/85,122/393 is 1/300645

Least Common Multiple of 27,85,393 with GCF Formula

Least Common Multiple of 27,85,393 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 27,85,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,85,393) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,85,393) x common factors =1 x 3 = 3

LCM(27,85,393) = ( 27 × 85 × 393 ) / 3

LCM(27,85,393) = 901935 / 3

LCM(27,85,393) = 300645


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 435/27, 700/85, 122/393

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 435/27, 700/85, 122/393?

Answer: GCF of Numerators as per given numbers 435/27, 700/85, 122/393 is

GCF of Numerators i.e. for 435,700,122 is 1

LCM of denominators i.e. for 27,85,393 is 300645.

Thus, GCF of Fractions is 1/300645.Finally, GCF of Fractions for 435/27, 700/85, 122/393 is 1/300645.