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GCF of 872/540, 541/671

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 872/540, 541/671 i.e 1/362340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/540, 541/671.

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 872/540,541/671?

Given fractions are 872/540,541/671

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 872/540,541/671, numerators are 872,541

Denominators are 540,671

The GCF of 872,541 is 1 .

LCM of 540,671 is 362340.

The greatest common factor of 872/540,541/671 = [GCF of 872,541]/[LCM of 540,671]= 1/362340

Therefore, the GCF of 872/540,541/671 is 1/362340.

Greatest Common Factor of 872,541

To find the highest common factor of 872,541, we have to find the factors of both numbers and list the highest common factor.

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872

The factors of 541 are 1, 541

The HCF of 872,541 is 1.

Lets's calculate GCF of 872,541

Greatest Common Factor (GCF) of 872,541 By Common Division

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

Greatest Common Factor of 872,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,541 By Matching Biggest Common Factor Method

Now, list down the factors of 872

:

1,2,4,8,109,218,436,872

Now, list down the factors of 541

:

1,541

Greatest Common Factor

We found the factors 872,541 . The biggest common factor number is the GCF number.
So the greatest common factor 872,541 is 1.

Lets's calculate LCM of 540,671

Lowest Common Multiple of 540,671 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 362340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362340

Therefore, the GCF of Fractions 872/540,541/671 is 1/362340

Least Common Multiple of 540,671 with GCF Formula

Least Common Multiple of 540,671 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 540,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,671) = 1

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

GCF(540,671) x common factors =1 x 1 = 1

LCM(540,671) = ( 540 × 671 ) / 1

LCM(540,671) = 362340 / 1

LCM(540,671) = 362340


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FAQs on GCF of Fractions of 872/540, 541/671

1. What is the HCF of 872,541?

The HCF of 872,541 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 872/540, 541/671?

Answer: GCF of Numerators as per given numbers 872/540, 541/671 is

GCF of Numerators i.e. for 872,541 is 1

LCM of denominators i.e. for 540,671 is 362340.

Thus, GCF of Fractions is 1/362340.Finally, GCF of Fractions for 872/540, 541/671 is 1/362340.