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GCF of 575/416, 541/172

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 575/416, 541/172 i.e 1/17888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 575/416, 541/172.

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 575/416,541/172?

Given fractions are 575/416,541/172

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 575/416,541/172, numerators are 575,541

Denominators are 416,172

The GCF of 575,541 is 1 .

LCM of 416,172 is 17888.

The greatest common factor of 575/416,541/172 = [GCF of 575,541]/[LCM of 416,172]= 1/17888

Therefore, the GCF of 575/416,541/172 is 1/17888.

Greatest Common Factor of 575,541

To find the highest common factor of 575,541, we have to find the factors of both numbers and list the highest common factor.

The factors of 575 are 1, 5, 23, 25, 115, 575

The factors of 541 are 1, 541

The HCF of 575,541 is 1.

Lets's calculate GCF of 575,541

Greatest Common Factor (GCF) of 575,541 By Common Division

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

Greatest Common Factor of 575,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,541 By Matching Biggest Common Factor Method

Now, list down the factors of 575

:

1,5,23,25,115,575

Now, list down the factors of 541

:

1,541

Greatest Common Factor

We found the factors 575,541 . The biggest common factor number is the GCF number.
So the greatest common factor 575,541 is 1.

Lets's calculate LCM of 416,172

Lowest Common Multiple of 416,172 using Common Division

2 416, 172
2 208, 86
104, 43

∴ So the LCM of the given numbers is 2 x 2 x 104 x 43 = 17888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17888

Therefore, the GCF of Fractions 575/416,541/172 is 1/17888

Least Common Multiple of 416,172 with GCF Formula

Least Common Multiple of 416,172 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 416,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,172) = 4

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

GCF(416,172) x common factors =4 x 1 = 4

LCM(416,172) = ( 416 × 172 ) / 4

LCM(416,172) = 71552 / 4

LCM(416,172) = 17888


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FAQs on GCF of Fractions of 575/416, 541/172

1. What is the HCF of 575,541?

The HCF of 575,541 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 575/416, 541/172?

Answer: GCF of Numerators as per given numbers 575/416, 541/172 is

GCF of Numerators i.e. for 575,541 is 1

LCM of denominators i.e. for 416,172 is 17888.

Thus, GCF of Fractions is 1/17888.Finally, GCF of Fractions for 575/416, 541/172 is 1/17888.