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GCF of 501/601, 172/154

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 501/601, 172/154 i.e 1/92554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/601, 172/154.

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 501/601,172/154?

Given fractions are 501/601,172/154

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 501/601,172/154, numerators are 501,172

Denominators are 601,154

The GCF of 501,172 is 1 .

LCM of 601,154 is 92554.

The greatest common factor of 501/601,172/154 = [GCF of 501,172]/[LCM of 601,154]= 1/92554

Therefore, the GCF of 501/601,172/154 is 1/92554.

Greatest Common Factor of 501,172

To find the highest common factor of 501,172, we have to find the factors of both numbers and list the highest common factor.

The factors of 501 are 1, 3, 167, 501

The factors of 172 are 1, 2, 4, 43, 86, 172

The HCF of 501,172 is 1.

Lets's calculate GCF of 501,172

Greatest Common Factor (GCF) of 501,172 By Common Division

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

Greatest Common Factor of 501,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,172 By Matching Biggest Common Factor Method

Now, list down the factors of 501

:

1,3,167,501

Now, list down the factors of 172

:

1,2,4,43,86,172

Greatest Common Factor

We found the factors 501,172 . The biggest common factor number is the GCF number.
So the greatest common factor 501,172 is 1.

Lets's calculate LCM of 601,154

Lowest Common Multiple of 601,154 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 92554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92554

Therefore, the GCF of Fractions 501/601,172/154 is 1/92554

Least Common Multiple of 601,154 with GCF Formula

Least Common Multiple of 601,154 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 601,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,154) = 1

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

GCF(601,154) x common factors =1 x 1 = 1

LCM(601,154) = ( 601 × 154 ) / 1

LCM(601,154) = 92554 / 1

LCM(601,154) = 92554


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 501/601, 172/154

1. What is the HCF of 501,172?

The HCF of 501,172 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 501/601, 172/154?

Answer: GCF of Numerators as per given numbers 501/601, 172/154 is

GCF of Numerators i.e. for 501,172 is 1

LCM of denominators i.e. for 601,154 is 92554.

Thus, GCF of Fractions is 1/92554.Finally, GCF of Fractions for 501/601, 172/154 is 1/92554.