Greatest Common Factor of 633/242, 147/770, 531/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 633/242, 147/770, 531/105

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 633/242,147/770,531/105

Given fractions are 633/242,147/770,531/105

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 633,147,531

Greatest Common Factor of Numerators i.e. GCF of 633,147,531 is 3 .

LCM of Denominators means LCM of 242,770,105 as per the given fractions.

LCM of 242,770,105 is 25410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 633,147,531

GCF of Fractions 633/242,147/770,531/105 is 3/25410

3 633, 147, 531
211, 49, 177

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 633,147,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,147,531 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 633,147,531 . The biggest common factor number is the GCF number.
So the greatest common factor 633,147,531 is 3.

Lets's calculate LCM of 242,770,105

2 242, 770, 105
5 121, 385, 105
7 121, 77, 21
11 121, 11, 3
1, 11, 3

∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 1 x 11 x 3 = 25410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25410

Therefore, the GCF of Fractions 633/242,147/770,531/105 is 3/25410

Least Common Multiple of 242,770,105 with GCF Formula

Least Common Multiple of 242,770,105 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 242,770,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,770,105) = 1

common factors(in case of two or more numbers have common factors) = 770

GCF(242,770,105) x common factors =1 x 770 = 770

LCM(242,770,105) = ( 242 × 770 × 105 ) / 770

LCM(242,770,105) = 19565700 / 770

LCM(242,770,105) = 25410


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 633/242, 147/770, 531/105

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 633/242, 147/770, 531/105?

Answer: GCF of Numerators as per given numbers 633/242, 147/770, 531/105 is

GCF of Numerators i.e. for 633,147,531 is 3

LCM of denominators i.e. for 242,770,105 is 25410.

Thus, GCF of Fractions is 3/25410.Finally, GCF of Fractions for 633/242, 147/770, 531/105 is 3/25410.