How to Find GCF of 452/31, 931/9211?

GCF of 452/31, 931/9211

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 452/31, 931/9211 i.e 1/285541 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/31, 931/9211.

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 452/31,931/9211?

Given fractions are 452/31,931/9211

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 452/31,931/9211, numerators are 452,931

Denominators are 31,9211

The GCF of 452,931 is 1 .

LCM of 31,9211 is 285541.

The greatest common factor of 452/31,931/9211 = [GCF of 452,931]/[LCM of 31,9211]= 1/285541

Therefore, the GCF of 452/31,931/9211 is 1/285541.

Greatest Common Factor of 452,931

To find the highest common factor of 452,931, we have to find the factors of both numbers and list the highest common factor.

The factors of 452 are 1, 2, 4, 113, 226, 452

The factors of 931 are 1, 7, 19, 49, 133, 931

The HCF of 452,931 is 1.

Lets's calculate GCF of 452,931

Greatest Common Factor (GCF) of 452,931 By Common Division

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

Greatest Common Factor of 452,931 By Matching Biggest Common Factor Method

Now, list down the factors of 452

1,2,4,113,226,452

Now, list down the factors of 931

1,7,19,49,133,931

Greatest Common Factor

We found the factors 452,931 . The biggest common factor number is the GCF number.
So the greatest common factor 452,931 is 1.

Lets's calculate LCM of 31,9211

Lowest Common Multiple of 31,9211 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 285541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285541

Therefore, the GCF of Fractions 452/31,931/9211 is 1/285541

Least Common Multiple of 31,9211 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 31,9211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,9211) = 1

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

GCF(31,9211) x common factors =1 x 1 = 1

LCM(31,9211) = ( 31 × 9211 ) / 1

LCM(31,9211) = 285541 / 1

LCM(31,9211) = 285541

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FAQs on GCF of Fractions of 452/31, 931/9211

1. What is the HCF of 452,931?

The HCF of 452,931 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 452/31, 931/9211?

Answer: GCF of Numerators as per given numbers 452/31, 931/9211 is

GCF of Numerators i.e. for 452,931 is 1

LCM of denominators i.e. for 31,9211 is 285541.

Thus, GCF of Fractions is 1/285541.Finally, GCF of Fractions for 452/31, 931/9211 is 1/285541.