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GCF of 541/464, 926/885

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 541/464, 926/885 i.e 1/410640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 541/464, 926/885.

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 541/464,926/885?

Given fractions are 541/464,926/885

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 541/464,926/885, numerators are 541,926

Denominators are 464,885

The GCF of 541,926 is 1 .

LCM of 464,885 is 410640.

The greatest common factor of 541/464,926/885 = [GCF of 541,926]/[LCM of 464,885]= 1/410640

Therefore, the GCF of 541/464,926/885 is 1/410640.

Greatest Common Factor of 541,926

To find the highest common factor of 541,926, we have to find the factors of both numbers and list the highest common factor.

The factors of 541 are 1, 541

The factors of 926 are 1, 2, 463, 926

The HCF of 541,926 is 1.

Lets's calculate GCF of 541,926

Greatest Common Factor (GCF) of 541,926 By Common Division

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

Greatest Common Factor of 541,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,926 By Matching Biggest Common Factor Method

Now, list down the factors of 541

:

1,541

Now, list down the factors of 926

:

1,2,463,926

Greatest Common Factor

We found the factors 541,926 . The biggest common factor number is the GCF number.
So the greatest common factor 541,926 is 1.

Lets's calculate LCM of 464,885

Lowest Common Multiple of 464,885 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 410640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410640

Therefore, the GCF of Fractions 541/464,926/885 is 1/410640

Least Common Multiple of 464,885 with GCF Formula

Least Common Multiple of 464,885 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 464,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,885) = 1

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

GCF(464,885) x common factors =1 x 1 = 1

LCM(464,885) = ( 464 × 885 ) / 1

LCM(464,885) = 410640 / 1

LCM(464,885) = 410640


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FAQs on GCF of Fractions of 541/464, 926/885

1. What is the HCF of 541,926?

The HCF of 541,926 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 541/464, 926/885?

Answer: GCF of Numerators as per given numbers 541/464, 926/885 is

GCF of Numerators i.e. for 541,926 is 1

LCM of denominators i.e. for 464,885 is 410640.

Thus, GCF of Fractions is 1/410640.Finally, GCF of Fractions for 541/464, 926/885 is 1/410640.