How to Find GCF of 9521/492, 9374/9516?

GCF of 9521/492, 9374/9516

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 9521/492, 9374/9516 i.e 1/390156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9521/492, 9374/9516.

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 9521/492,9374/9516?

Given fractions are 9521/492,9374/9516

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 9521/492,9374/9516, numerators are 9521,9374

Denominators are 492,9516

The GCF of 9521,9374 is 1 .

LCM of 492,9516 is 390156.

The greatest common factor of 9521/492,9374/9516 = [GCF of 9521,9374]/[LCM of 492,9516]= 1/390156

Therefore, the GCF of 9521/492,9374/9516 is 1/390156.

Greatest Common Factor of 9521,9374

To find the highest common factor of 9521,9374, we have to find the factors of both numbers and list the highest common factor.

The factors of 9521 are 1, 9521

The factors of 9374 are 1, 2, 43, 86, 109, 218, 4687, 9374

The HCF of 9521,9374 is 1.

Lets's calculate GCF of 9521,9374

Greatest Common Factor (GCF) of 9521,9374 By Common Division

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

Greatest Common Factor of 9521,9374 By Matching Biggest Common Factor Method

Now, list down the factors of 9521

1,9521

Now, list down the factors of 9374

1,2,43,86,109,218,4687,9374

Greatest Common Factor

We found the factors 9521,9374 . The biggest common factor number is the GCF number.
So the greatest common factor 9521,9374 is 1.

Lets's calculate LCM of 492,9516

Lowest Common Multiple of 492,9516 using Common Division

2	492, 9516
2	246, 4758
3	123, 2379
	41, 793

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 793 = 390156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390156

Therefore, the GCF of Fractions 9521/492,9374/9516 is 1/390156

Least Common Multiple of 492,9516 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 492,9516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,9516) = 12

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

GCF(492,9516) x common factors =12 x 1 = 12

LCM(492,9516) = ( 492 × 9516 ) / 12

LCM(492,9516) = 4681872 / 12

LCM(492,9516) = 390156

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9521/492, 9374/9516

1. What is the HCF of 9521,9374?

The HCF of 9521,9374 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 9521/492, 9374/9516?

Answer: GCF of Numerators as per given numbers 9521/492, 9374/9516 is

GCF of Numerators i.e. for 9521,9374 is 1

LCM of denominators i.e. for 492,9516 is 390156.

Thus, GCF of Fractions is 1/390156.Finally, GCF of Fractions for 9521/492, 9374/9516 is 1/390156.