How to Find GCF of 9502/920, 7822/136?

GCF of 9502/920, 7822/136

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 9502/920, 7822/136 i.e 2/15640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9502/920, 7822/136.

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 9502/920,7822/136?

Given fractions are 9502/920,7822/136

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 9502/920,7822/136, numerators are 9502,7822

Denominators are 920,136

The GCF of 9502,7822 is 2 .

LCM of 920,136 is 15640.

The greatest common factor of 9502/920,7822/136 = [GCF of 9502,7822]/[LCM of 920,136]= 2/15640

Therefore, the GCF of 9502/920,7822/136 is 2/15640.

Greatest Common Factor of 9502,7822

To find the highest common factor of 9502,7822, we have to find the factors of both numbers and list the highest common factor.

The factors of 9502 are 1, 2, 4751, 9502

The factors of 7822 are 1, 2, 3911, 7822

The HCF of 9502,7822 is 2.

Lets's calculate GCF of 9502,7822

Greatest Common Factor (GCF) of 9502,7822 By Common Division

2	9502, 7822
	4751, 3911

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

Greatest Common Factor of 9502,7822 By Matching Biggest Common Factor Method

Now, list down the factors of 9502

1,2,4751,9502

Now, list down the factors of 7822

1,2,3911,7822

Greatest Common Factor

We found the factors 9502,7822 . The biggest common factor number is the GCF number.
So the greatest common factor 9502,7822 is 2.

Lets's calculate LCM of 920,136

Lowest Common Multiple of 920,136 using Common Division

2	920, 136
2	460, 68
2	230, 34
	115, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 115 x 17 = 15640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15640

Therefore, the GCF of Fractions 9502/920,7822/136 is 2/15640

Least Common Multiple of 920,136 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 920,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,136) = 8

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

GCF(920,136) x common factors =8 x 1 = 8

LCM(920,136) = ( 920 × 136 ) / 8

LCM(920,136) = 125120 / 8

LCM(920,136) = 15640

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FAQs on GCF of Fractions of 9502/920, 7822/136

1. What is the HCF of 9502,7822?

The HCF of 9502,7822 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 9502/920, 7822/136?

Answer: GCF of Numerators as per given numbers 9502/920, 7822/136 is

GCF of Numerators i.e. for 9502,7822 is 2

LCM of denominators i.e. for 920,136 is 15640.

Thus, GCF of Fractions is 2/15640.Finally, GCF of Fractions for 9502/920, 7822/136 is 2/15640.