Greatest Common Factor of 34/63, 77/27, 75/36, 22/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/63, 77/27, 75/36, 22/970

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 34/63,77/27,75/36,22/970

Given fractions are 34/63,77/27,75/36,22/970

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 34,77,75,22

Greatest Common Factor of Numerators i.e. GCF of 34,77,75,22 is 1 .

LCM of Denominators means LCM of 63,27,36,970 as per the given fractions.

LCM of 63,27,36,970 is 366660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,77,75,22

GCF of Fractions 34/63,77/27,75/36,22/970 is 1/366660

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

Greatest Common Factor of 34,77,75,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,77,75,22 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 34,77,75,22 . The biggest common factor number is the GCF number.
So the greatest common factor 34,77,75,22 is 1.

Lets's calculate LCM of 63,27,36,970

2 63, 27, 36, 970
3 63, 27, 18, 485
3 21, 9, 6, 485
7, 3, 2, 485

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 3 x 2 x 485 = 366660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366660

Therefore, the GCF of Fractions 34/63,77/27,75/36,22/970 is 1/366660

Least Common Multiple of 63,27,36,970 with GCF Formula

Least Common Multiple of 63,27,36,970 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 63,27,36,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,27,36,970) = 1

common factors(in case of two or more numbers have common factors) = 162

GCF(63,27,36,970) x common factors =1 x 162 = 162

LCM(63,27,36,970) = ( 63 × 27 × 36 × 970 ) / 162

LCM(63,27,36,970) = 59398920 / 162

LCM(63,27,36,970) = 366660


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 34/63, 77/27, 75/36, 22/970

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 34/63, 77/27, 75/36, 22/970?

Answer: GCF of Numerators as per given numbers 34/63, 77/27, 75/36, 22/970 is

GCF of Numerators i.e. for 34,77,75,22 is 1

LCM of denominators i.e. for 63,27,36,970 is 366660.

Thus, GCF of Fractions is 1/366660.Finally, GCF of Fractions for 34/63, 77/27, 75/36, 22/970 is 1/366660.