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GCF of 827/150, 527/743

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 827/150, 527/743 i.e 1/111450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 827/150, 527/743.

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 827/150,527/743?

Given fractions are 827/150,527/743

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 827/150,527/743, numerators are 827,527

Denominators are 150,743

The GCF of 827,527 is 1 .

LCM of 150,743 is 111450.

The greatest common factor of 827/150,527/743 = [GCF of 827,527]/[LCM of 150,743]= 1/111450

Therefore, the GCF of 827/150,527/743 is 1/111450.

Greatest Common Factor of 827,527

To find the highest common factor of 827,527, we have to find the factors of both numbers and list the highest common factor.

The factors of 827 are 1, 827

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

The HCF of 827,527 is 1.

Lets's calculate GCF of 827,527

Greatest Common Factor (GCF) of 827,527 By Common Division

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

Greatest Common Factor of 827,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,527 By Matching Biggest Common Factor Method

Now, list down the factors of 827

:

1,827

Now, list down the factors of 527

:

1,17,31,527

Greatest Common Factor

We found the factors 827,527 . The biggest common factor number is the GCF number.
So the greatest common factor 827,527 is 1.

Lets's calculate LCM of 150,743

Lowest Common Multiple of 150,743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 111450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111450

Therefore, the GCF of Fractions 827/150,527/743 is 1/111450

Least Common Multiple of 150,743 with GCF Formula

Least Common Multiple of 150,743 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 150,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,743) = 1

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

GCF(150,743) x common factors =1 x 1 = 1

LCM(150,743) = ( 150 × 743 ) / 1

LCM(150,743) = 111450 / 1

LCM(150,743) = 111450


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FAQs on GCF of Fractions of 827/150, 527/743

1. What is the HCF of 827,527?

The HCF of 827,527 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 827/150, 527/743?

Answer: GCF of Numerators as per given numbers 827/150, 527/743 is

GCF of Numerators i.e. for 827,527 is 1

LCM of denominators i.e. for 150,743 is 111450.

Thus, GCF of Fractions is 1/111450.Finally, GCF of Fractions for 827/150, 527/743 is 1/111450.