How to Find GCF of 262/736, 5325/108?

GCF of 262/736, 5325/108

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 262/736, 5325/108 i.e 1/19872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/736, 5325/108.

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 262/736,5325/108?

Given fractions are 262/736,5325/108

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 262/736,5325/108, numerators are 262,5325

Denominators are 736,108

The GCF of 262,5325 is 1 .

LCM of 736,108 is 19872.

The greatest common factor of 262/736,5325/108 = [GCF of 262,5325]/[LCM of 736,108]= 1/19872

Therefore, the GCF of 262/736,5325/108 is 1/19872.

Greatest Common Factor of 262,5325

To find the highest common factor of 262,5325, we have to find the factors of both numbers and list the highest common factor.

The factors of 262 are 1, 2, 131, 262

The factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325

The HCF of 262,5325 is 1.

Lets's calculate GCF of 262,5325

Greatest Common Factor (GCF) of 262,5325 By Common Division

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

Greatest Common Factor of 262,5325 By Matching Biggest Common Factor Method

Now, list down the factors of 262

1,2,131,262

Now, list down the factors of 5325

1,3,5,15,25,71,75,213,355,1065,1775,5325

Greatest Common Factor

We found the factors 262,5325 . The biggest common factor number is the GCF number.
So the greatest common factor 262,5325 is 1.

Lets's calculate LCM of 736,108

Lowest Common Multiple of 736,108 using Common Division

2	736, 108
2	368, 54
	184, 27

∴ So the LCM of the given numbers is 2 x 2 x 184 x 27 = 19872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19872

Therefore, the GCF of Fractions 262/736,5325/108 is 1/19872

Least Common Multiple of 736,108 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 736,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,108) = 4

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

GCF(736,108) x common factors =4 x 1 = 4

LCM(736,108) = ( 736 × 108 ) / 4

LCM(736,108) = 79488 / 4

LCM(736,108) = 19872

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FAQs on GCF of Fractions of 262/736, 5325/108

1. What is the HCF of 262,5325?

The HCF of 262,5325 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 262/736, 5325/108?

Answer: GCF of Numerators as per given numbers 262/736, 5325/108 is

GCF of Numerators i.e. for 262,5325 is 1

LCM of denominators i.e. for 736,108 is 19872.

Thus, GCF of Fractions is 1/19872.Finally, GCF of Fractions for 262/736, 5325/108 is 1/19872.