How to Find GCF of 527/120, 150/697?

GCF of 527/120, 150/697

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 527/120, 150/697 i.e 1/83640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 527/120, 150/697.

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 527/120,150/697?

Given fractions are 527/120,150/697

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 527/120,150/697, numerators are 527,150

Denominators are 120,697

The GCF of 527,150 is 1 .

LCM of 120,697 is 83640.

The greatest common factor of 527/120,150/697 = [GCF of 527,150]/[LCM of 120,697]= 1/83640

Therefore, the GCF of 527/120,150/697 is 1/83640.

Greatest Common Factor of 527,150

To find the highest common factor of 527,150, we have to find the factors of both numbers and list the highest common factor.

The factors of 527 are 1, 17, 31, 527

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

The HCF of 527,150 is 1.

Lets's calculate GCF of 527,150

Greatest Common Factor (GCF) of 527,150 By Common Division

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

Greatest Common Factor of 527,150 By Matching Biggest Common Factor Method

Now, list down the factors of 527

1,17,31,527

Now, list down the factors of 150

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 527,150 . The biggest common factor number is the GCF number.
So the greatest common factor 527,150 is 1.

Lets's calculate LCM of 120,697

Lowest Common Multiple of 120,697 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 83640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83640

Therefore, the GCF of Fractions 527/120,150/697 is 1/83640

Least Common Multiple of 120,697 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 120,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,697) = 1

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

GCF(120,697) x common factors =1 x 1 = 1

LCM(120,697) = ( 120 × 697 ) / 1

LCM(120,697) = 83640 / 1

LCM(120,697) = 83640

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FAQs on GCF of Fractions of 527/120, 150/697

1. What is the HCF of 527,150?

The HCF of 527,150 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 527/120, 150/697?

Answer: GCF of Numerators as per given numbers 527/120, 150/697 is

GCF of Numerators i.e. for 527,150 is 1

LCM of denominators i.e. for 120,697 is 83640.

Thus, GCF of Fractions is 1/83640.Finally, GCF of Fractions for 527/120, 150/697 is 1/83640.