Greatest Common Factor of 622/30, 961/28, 101/51

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 622/30, 961/28, 101/51

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 622/30,961/28,101/51

Given fractions are 622/30,961/28,101/51

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 622,961,101

Greatest Common Factor of Numerators i.e. GCF of 622,961,101 is 1 .

LCM of Denominators means LCM of 30,28,51 as per the given fractions.

LCM of 30,28,51 is 7140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 622,961,101

GCF of Fractions 622/30,961/28,101/51 is 1/7140

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

Greatest Common Factor of 622,961,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,961,101 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 622,961,101 . The biggest common factor number is the GCF number.
So the greatest common factor 622,961,101 is 1.

Lets's calculate LCM of 30,28,51

2 30, 28, 51
3 15, 14, 51
5, 14, 17

∴ So the LCM of the given numbers is 2 x 3 x 5 x 14 x 17 = 7140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7140

Therefore, the GCF of Fractions 622/30,961/28,101/51 is 1/7140

Least Common Multiple of 30,28,51 with GCF Formula

Least Common Multiple of 30,28,51 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 30,28,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,28,51) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,28,51) x common factors =1 x 6 = 6

LCM(30,28,51) = ( 30 × 28 × 51 ) / 6

LCM(30,28,51) = 42840 / 6

LCM(30,28,51) = 7140


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 622/30, 961/28, 101/51

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 622/30, 961/28, 101/51?

Answer: GCF of Numerators as per given numbers 622/30, 961/28, 101/51 is

GCF of Numerators i.e. for 622,961,101 is 1

LCM of denominators i.e. for 30,28,51 is 7140.

Thus, GCF of Fractions is 1/7140.Finally, GCF of Fractions for 622/30, 961/28, 101/51 is 1/7140.