How to Find GCF of 95/500, 38/314, 959/667?

GCF of 95/500, 38/314, 959/667

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 95/500, 38/314, 959/667 i.e 1/52359500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/500, 38/314, 959/667.

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 95/500,38/314,959/667?

Given fractions are 95/500,38/314,959/667

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 95/500,38/314,959/667, numerators are 95,38,959

Denominators are 500,314,667

The GCF of 95,38,959 is 1 .

LCM of 500,314,667 is 52359500.

The greatest common factor of 95/500,38/314,959/667 = [GCF of 95,38,959]/[LCM of 500,314,667]= 1/52359500

Therefore, the GCF of 95/500,38/314,959/667 is 1/52359500.

Greatest Common Factor of 95,38,959

To find the highest common factor of 95,38,959, 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 38 are 1, 2, 19, 38

The factors of 959 are 1, 7, 137, 959

The HCF of 95,38,959 is 1.

Lets's calculate GCF of 95,38,959

Greatest Common Factor (GCF) of 95,38,959 By Common Division

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

Greatest Common Factor of 95,38,959 By Matching Biggest Common Factor Method

Now, list down the factors of 95

1,5,19,95

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 959

1,7,137,959

Greatest Common Factor

We found the factors 95,38,959 . The biggest common factor number is the GCF number.
So the greatest common factor 95,38,959 is 1.

Lets's calculate LCM of 500,314,667

Lowest Common Multiple of 500,314,667 using Common Division

2	500, 314, 667
	250, 157, 667

∴ So the LCM of the given numbers is 2 x 250 x 157 x 667 = 52359500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52359500

Therefore, the GCF of Fractions 95/500,38/314,959/667 is 1/52359500

Least Common Multiple of 500,314,667 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 500,314,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,314,667) = 1

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

GCF(500,314,667) x common factors =1 x 2 = 2

LCM(500,314,667) = ( 500 × 314 × 667 ) / 2

LCM(500,314,667) = 104719000 / 2

LCM(500,314,667) = 52359500

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FAQs on GCF of Fractions of 95/500, 38/314, 959/667

1. What is the HCF of 95,38,959?

The HCF of 95,38,959 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 95/500, 38/314, 959/667?

Answer: GCF of Numerators as per given numbers 95/500, 38/314, 959/667 is

GCF of Numerators i.e. for 95,38,959 is 1

LCM of denominators i.e. for 500,314,667 is 52359500.

Thus, GCF of Fractions is 1/52359500.Finally, GCF of Fractions for 95/500, 38/314, 959/667 is 1/52359500.