How to Find GCF of 9131/50, 3914/918?

GCF of 9131/50, 3914/918

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 9131/50, 3914/918 i.e 1/22950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9131/50, 3914/918.

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 9131/50,3914/918?

Given fractions are 9131/50,3914/918

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 9131/50,3914/918, numerators are 9131,3914

Denominators are 50,918

The GCF of 9131,3914 is 1 .

LCM of 50,918 is 22950.

The greatest common factor of 9131/50,3914/918 = [GCF of 9131,3914]/[LCM of 50,918]= 1/22950

Therefore, the GCF of 9131/50,3914/918 is 1/22950.

Greatest Common Factor of 9131,3914

To find the highest common factor of 9131,3914, we have to find the factors of both numbers and list the highest common factor.

The factors of 9131 are 1, 23, 397, 9131

The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914

The HCF of 9131,3914 is 1.

Lets's calculate GCF of 9131,3914

Greatest Common Factor (GCF) of 9131,3914 By Common Division

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

Greatest Common Factor of 9131,3914 By Matching Biggest Common Factor Method

Now, list down the factors of 9131

1,23,397,9131

Now, list down the factors of 3914

1,2,19,38,103,206,1957,3914

Greatest Common Factor

We found the factors 9131,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 9131,3914 is 1.

Lets's calculate LCM of 50,918

Lowest Common Multiple of 50,918 using Common Division

2	50, 918
	25, 459

∴ So the LCM of the given numbers is 2 x 25 x 459 = 22950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22950

Therefore, the GCF of Fractions 9131/50,3914/918 is 1/22950

Least Common Multiple of 50,918 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 50,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,918) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(50,918) x common factors =2 x 1 = 2

LCM(50,918) = ( 50 × 918 ) / 2

LCM(50,918) = 45900 / 2

LCM(50,918) = 22950

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FAQs on GCF of Fractions of 9131/50, 3914/918

1. What is the HCF of 9131,3914?

The HCF of 9131,3914 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 9131/50, 3914/918?

Answer: GCF of Numerators as per given numbers 9131/50, 3914/918 is

GCF of Numerators i.e. for 9131,3914 is 1

LCM of denominators i.e. for 50,918 is 22950.

Thus, GCF of Fractions is 1/22950.Finally, GCF of Fractions for 9131/50, 3914/918 is 1/22950.