How to Find GCF of 95/34, 22/20, 108/974?

GCF of 95/34, 22/20, 108/974

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 95/34, 22/20, 108/974 i.e 1/165580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/34, 22/20, 108/974.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 95/34,22/20,108/974?

Given fractions are 95/34,22/20,108/974

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 95/34,22/20,108/974, numerators are 95,22,108

Denominators are 34,20,974

The GCF of 95,22,108 is 1 .

LCM of 34,20,974 is 165580.

The greatest common factor of 95/34,22/20,108/974 = [GCF of 95,22,108]/[LCM of 34,20,974]= 1/165580

Therefore, the GCF of 95/34,22/20,108/974 is 1/165580.

Greatest Common Factor of 95,22,108

To find the highest common factor of 95,22,108, we have to find the factors of both numbers and list the highest common factor.

The factors of 95 are 1, 5, 19, 95

The factors of 22 are 1, 2, 11, 22

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The HCF of 95,22,108 is 1.

Lets's calculate GCF of 95,22,108

Greatest Common Factor (GCF) of 95,22,108 By Common Division

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

Greatest Common Factor of 95,22,108 By Matching Biggest Common Factor Method

Now, list down the factors of 95

1,5,19,95

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 108

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 95,22,108 . The biggest common factor number is the GCF number.
So the greatest common factor 95,22,108 is 1.

Lets's calculate LCM of 34,20,974

Lowest Common Multiple of 34,20,974 using Common Division

2	34, 20, 974
	17, 10, 487

∴ So the LCM of the given numbers is 2 x 17 x 10 x 487 = 165580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165580

Therefore, the GCF of Fractions 95/34,22/20,108/974 is 1/165580

Least Common Multiple of 34,20,974 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 34,20,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,20,974) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,20,974) x common factors =2 x 2 = 4

LCM(34,20,974) = ( 34 × 20 × 974 ) / 4

LCM(34,20,974) = 662320 / 4

LCM(34,20,974) = 165580

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 95/34, 22/20, 108/974

1. What is the HCF of 95,22,108?

The HCF of 95,22,108 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 95/34, 22/20, 108/974?

Answer: GCF of Numerators as per given numbers 95/34, 22/20, 108/974 is

GCF of Numerators i.e. for 95,22,108 is 1

LCM of denominators i.e. for 34,20,974 is 165580.

Thus, GCF of Fractions is 1/165580.Finally, GCF of Fractions for 95/34, 22/20, 108/974 is 1/165580.