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GCF of 171/70, 795/537

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 171/70, 795/537 i.e 3/37590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 171/70, 795/537.

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 171/70,795/537?

Given fractions are 171/70,795/537

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 171/70,795/537, numerators are 171,795

Denominators are 70,537

The GCF of 171,795 is 3 .

LCM of 70,537 is 37590.

The greatest common factor of 171/70,795/537 = [GCF of 171,795]/[LCM of 70,537]= 3/37590

Therefore, the GCF of 171/70,795/537 is 3/37590.

Greatest Common Factor of 171,795

To find the highest common factor of 171,795, we have to find the factors of both numbers and list the highest common factor.

The factors of 171 are 1, 3, 9, 19, 57, 171

The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795

The HCF of 171,795 is 3.

Lets's calculate GCF of 171,795

Greatest Common Factor (GCF) of 171,795 By Common Division

3 171, 795
57, 265

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 171,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,795 By Matching Biggest Common Factor Method

Now, list down the factors of 171

:

1,3,9,19,57,171

Now, list down the factors of 795

:

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 171,795 . The biggest common factor number is the GCF number.
So the greatest common factor 171,795 is 3.

Lets's calculate LCM of 70,537

Lowest Common Multiple of 70,537 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 37590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/37590

Therefore, the GCF of Fractions 171/70,795/537 is 3/37590

Least Common Multiple of 70,537 with GCF Formula

Least Common Multiple of 70,537 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 70,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,537) = 1

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

GCF(70,537) x common factors =1 x 1 = 1

LCM(70,537) = ( 70 × 537 ) / 1

LCM(70,537) = 37590 / 1

LCM(70,537) = 37590


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FAQs on GCF of Fractions of 171/70, 795/537

1. What is the HCF of 171,795?

The HCF of 171,795 is 3

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 171/70, 795/537?

Answer: GCF of Numerators as per given numbers 171/70, 795/537 is

GCF of Numerators i.e. for 171,795 is 3

LCM of denominators i.e. for 70,537 is 37590.

Thus, GCF of Fractions is 3/37590.Finally, GCF of Fractions for 171/70, 795/537 is 3/37590.