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GCF of 836/90, 527/7468

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 836/90, 527/7468 i.e 1/336060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 836/90, 527/7468.

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 836/90,527/7468?

Given fractions are 836/90,527/7468

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 836/90,527/7468, numerators are 836,527

Denominators are 90,7468

The GCF of 836,527 is 1 .

LCM of 90,7468 is 336060.

The greatest common factor of 836/90,527/7468 = [GCF of 836,527]/[LCM of 90,7468]= 1/336060

Therefore, the GCF of 836/90,527/7468 is 1/336060.

Greatest Common Factor of 836,527

To find the highest common factor of 836,527, we have to find the factors of both numbers and list the highest common factor.

The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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

The HCF of 836,527 is 1.

Lets's calculate GCF of 836,527

Greatest Common Factor (GCF) of 836,527 By Common Division

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

Greatest Common Factor of 836,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,527 By Matching Biggest Common Factor Method

Now, list down the factors of 836

:

1,2,4,11,19,22,38,44,76,209,418,836

Now, list down the factors of 527

:

1,17,31,527

Greatest Common Factor

We found the factors 836,527 . The biggest common factor number is the GCF number.
So the greatest common factor 836,527 is 1.

Lets's calculate LCM of 90,7468

Lowest Common Multiple of 90,7468 using Common Division

2 90, 7468
45, 3734

∴ So the LCM of the given numbers is 2 x 45 x 3734 = 336060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336060

Therefore, the GCF of Fractions 836/90,527/7468 is 1/336060

Least Common Multiple of 90,7468 with GCF Formula

Least Common Multiple of 90,7468 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 90,7468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,7468) = 2

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

GCF(90,7468) x common factors =2 x 1 = 2

LCM(90,7468) = ( 90 × 7468 ) / 2

LCM(90,7468) = 672120 / 2

LCM(90,7468) = 336060


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FAQs on GCF of Fractions of 836/90, 527/7468

1. What is the HCF of 836,527?

The HCF of 836,527 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 836/90, 527/7468?

Answer: GCF of Numerators as per given numbers 836/90, 527/7468 is

GCF of Numerators i.e. for 836,527 is 1

LCM of denominators i.e. for 90,7468 is 336060.

Thus, GCF of Fractions is 1/336060.Finally, GCF of Fractions for 836/90, 527/7468 is 1/336060.