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GCF of 331/39, 958/751

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 331/39, 958/751 i.e 1/29289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 331/39, 958/751.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 331/39,958/751?

Given fractions are 331/39,958/751

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 331/39,958/751, numerators are 331,958

Denominators are 39,751

The GCF of 331,958 is 1 .

LCM of 39,751 is 29289.

The greatest common factor of 331/39,958/751 = [GCF of 331,958]/[LCM of 39,751]= 1/29289

Therefore, the GCF of 331/39,958/751 is 1/29289.

Greatest Common Factor of 331,958

To find the highest common factor of 331,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 331 are 1, 331

The factors of 958 are 1, 2, 479, 958

The HCF of 331,958 is 1.

Lets's calculate GCF of 331,958

Greatest Common Factor (GCF) of 331,958 By Common Division

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

Greatest Common Factor of 331,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,958 By Matching Biggest Common Factor Method

Now, list down the factors of 331

:

1,331

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 331,958 . The biggest common factor number is the GCF number.
So the greatest common factor 331,958 is 1.

Lets's calculate LCM of 39,751

Lowest Common Multiple of 39,751 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 29289

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29289

Therefore, the GCF of Fractions 331/39,958/751 is 1/29289

Least Common Multiple of 39,751 with GCF Formula

Least Common Multiple of 39,751 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 39,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,751) = 1

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

GCF(39,751) x common factors =1 x 1 = 1

LCM(39,751) = ( 39 × 751 ) / 1

LCM(39,751) = 29289 / 1

LCM(39,751) = 29289


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FAQs on GCF of Fractions of 331/39, 958/751

1. What is the HCF of 331,958?

The HCF of 331,958 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 331/39, 958/751?

Answer: GCF of Numerators as per given numbers 331/39, 958/751 is

GCF of Numerators i.e. for 331,958 is 1

LCM of denominators i.e. for 39,751 is 29289.

Thus, GCF of Fractions is 1/29289.Finally, GCF of Fractions for 331/39, 958/751 is 1/29289.