How to Find GCF of 632/91, 522/780?

GCF of 632/91, 522/780

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 632/91, 522/780 i.e 2/5460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/91, 522/780.

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 632/91,522/780?

Given fractions are 632/91,522/780

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 632/91,522/780, numerators are 632,522

Denominators are 91,780

The GCF of 632,522 is 2 .

LCM of 91,780 is 5460.

The greatest common factor of 632/91,522/780 = [GCF of 632,522]/[LCM of 91,780]= 2/5460

Therefore, the GCF of 632/91,522/780 is 2/5460.

Greatest Common Factor of 632,522

To find the highest common factor of 632,522, we have to find the factors of both numbers and list the highest common factor.

The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632

The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

The HCF of 632,522 is 2.

Lets's calculate GCF of 632,522

Greatest Common Factor (GCF) of 632,522 By Common Division

2	632, 522
	316, 261

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 632,522 By Matching Biggest Common Factor Method

Now, list down the factors of 632

1,2,4,8,79,158,316,632

Now, list down the factors of 522

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 632,522 . The biggest common factor number is the GCF number.
So the greatest common factor 632,522 is 2.

Lets's calculate LCM of 91,780

Lowest Common Multiple of 91,780 using Common Division

13	91, 780
	7, 60

∴ So the LCM of the given numbers is 13 x 7 x 60 = 5460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5460

Therefore, the GCF of Fractions 632/91,522/780 is 2/5460

Least Common Multiple of 91,780 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 91,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,780) = 13

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

GCF(91,780) x common factors =13 x 1 = 13

LCM(91,780) = ( 91 × 780 ) / 13

LCM(91,780) = 70980 / 13

LCM(91,780) = 5460

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FAQs on GCF of Fractions of 632/91, 522/780

1. What is the HCF of 632,522?

The HCF of 632,522 is 2

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 632/91, 522/780?

Answer: GCF of Numerators as per given numbers 632/91, 522/780 is

GCF of Numerators i.e. for 632,522 is 2

LCM of denominators i.e. for 91,780 is 5460.

Thus, GCF of Fractions is 2/5460.Finally, GCF of Fractions for 632/91, 522/780 is 2/5460.