How to Find GCF of 974/492, 9511/1362?

GCF of 974/492, 9511/1362

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 974/492, 9511/1362 i.e 1/111684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/492, 9511/1362.

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 974/492,9511/1362?

Given fractions are 974/492,9511/1362

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 974/492,9511/1362, numerators are 974,9511

Denominators are 492,1362

The GCF of 974,9511 is 1 .

LCM of 492,1362 is 111684.

The greatest common factor of 974/492,9511/1362 = [GCF of 974,9511]/[LCM of 492,1362]= 1/111684

Therefore, the GCF of 974/492,9511/1362 is 1/111684.

Greatest Common Factor of 974,9511

To find the highest common factor of 974,9511, we have to find the factors of both numbers and list the highest common factor.

The factors of 974 are 1, 2, 487, 974

The factors of 9511 are 1, 9511

The HCF of 974,9511 is 1.

Lets's calculate GCF of 974,9511

Greatest Common Factor (GCF) of 974,9511 By Common Division

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

Greatest Common Factor of 974,9511 By Matching Biggest Common Factor Method

Now, list down the factors of 974

1,2,487,974

Now, list down the factors of 9511

1,9511

Greatest Common Factor

We found the factors 974,9511 . The biggest common factor number is the GCF number.
So the greatest common factor 974,9511 is 1.

Lets's calculate LCM of 492,1362

Lowest Common Multiple of 492,1362 using Common Division

2	492, 1362
3	246, 681
	82, 227

∴ So the LCM of the given numbers is 2 x 3 x 82 x 227 = 111684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111684

Therefore, the GCF of Fractions 974/492,9511/1362 is 1/111684

Least Common Multiple of 492,1362 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 492,1362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,1362) = 6

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

GCF(492,1362) x common factors =6 x 1 = 6

LCM(492,1362) = ( 492 × 1362 ) / 6

LCM(492,1362) = 670104 / 6

LCM(492,1362) = 111684

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FAQs on GCF of Fractions of 974/492, 9511/1362

1. What is the HCF of 974,9511?

The HCF of 974,9511 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 974/492, 9511/1362?

Answer: GCF of Numerators as per given numbers 974/492, 9511/1362 is

GCF of Numerators i.e. for 974,9511 is 1

LCM of denominators i.e. for 492,1362 is 111684.

Thus, GCF of Fractions is 1/111684.Finally, GCF of Fractions for 974/492, 9511/1362 is 1/111684.