How to Find GCF of 97/25, 717/17, 837/274?

GCF of 97/25, 717/17, 837/274

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 97/25, 717/17, 837/274 i.e 1/116450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/25, 717/17, 837/274.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 97/25,717/17,837/274?

Given fractions are 97/25,717/17,837/274

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 97/25,717/17,837/274, numerators are 97,717,837

Denominators are 25,17,274

The GCF of 97,717,837 is 1 .

LCM of 25,17,274 is 116450.

The greatest common factor of 97/25,717/17,837/274 = [GCF of 97,717,837]/[LCM of 25,17,274]= 1/116450

Therefore, the GCF of 97/25,717/17,837/274 is 1/116450.

Greatest Common Factor of 97,717,837

To find the highest common factor of 97,717,837, we have to find the factors of both numbers and list the highest common factor.

The factors of 97 are 1, 97

The factors of 717 are 1, 3, 239, 717

The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837

The HCF of 97,717,837 is 1.

Lets's calculate GCF of 97,717,837

Greatest Common Factor (GCF) of 97,717,837 By Common Division

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

Greatest Common Factor of 97,717,837 By Matching Biggest Common Factor Method

Now, list down the factors of 97

1,97

Now, list down the factors of 717

1,3,239,717

Now, list down the factors of 837

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 97,717,837 . The biggest common factor number is the GCF number.
So the greatest common factor 97,717,837 is 1.

Lets's calculate LCM of 25,17,274

Lowest Common Multiple of 25,17,274 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 116450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116450

Therefore, the GCF of Fractions 97/25,717/17,837/274 is 1/116450

Least Common Multiple of 25,17,274 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 25,17,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,17,274) = 1

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

GCF(25,17,274) x common factors =1 x 1 = 1

LCM(25,17,274) = ( 25 × 17 × 274 ) / 1

LCM(25,17,274) = 116450 / 1

LCM(25,17,274) = 116450

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FAQs on GCF of Fractions of 97/25, 717/17, 837/274

1. What is the HCF of 97,717,837?

The HCF of 97,717,837 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 97/25, 717/17, 837/274?

Answer: GCF of Numerators as per given numbers 97/25, 717/17, 837/274 is

GCF of Numerators i.e. for 97,717,837 is 1

LCM of denominators i.e. for 25,17,274 is 116450.

Thus, GCF of Fractions is 1/116450.Finally, GCF of Fractions for 97/25, 717/17, 837/274 is 1/116450.