How to Find GCF of 9418/236, 7557/7632?

GCF of 9418/236, 7557/7632

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 9418/236, 7557/7632 i.e 1/450288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9418/236, 7557/7632.

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 9418/236,7557/7632?

Given fractions are 9418/236,7557/7632

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 9418/236,7557/7632, numerators are 9418,7557

Denominators are 236,7632

The GCF of 9418,7557 is 1 .

LCM of 236,7632 is 450288.

The greatest common factor of 9418/236,7557/7632 = [GCF of 9418,7557]/[LCM of 236,7632]= 1/450288

Therefore, the GCF of 9418/236,7557/7632 is 1/450288.

Greatest Common Factor of 9418,7557

To find the highest common factor of 9418,7557, we have to find the factors of both numbers and list the highest common factor.

The factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418

The factors of 7557 are 1, 3, 11, 33, 229, 687, 2519, 7557

The HCF of 9418,7557 is 1.

Lets's calculate GCF of 9418,7557

Greatest Common Factor (GCF) of 9418,7557 By Common Division

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

Greatest Common Factor of 9418,7557 By Matching Biggest Common Factor Method

Now, list down the factors of 9418

1,2,17,34,277,554,4709,9418

Now, list down the factors of 7557

1,3,11,33,229,687,2519,7557

Greatest Common Factor

We found the factors 9418,7557 . The biggest common factor number is the GCF number.
So the greatest common factor 9418,7557 is 1.

Lets's calculate LCM of 236,7632

Lowest Common Multiple of 236,7632 using Common Division

2	236, 7632
2	118, 3816
	59, 1908

∴ So the LCM of the given numbers is 2 x 2 x 59 x 1908 = 450288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/450288

Therefore, the GCF of Fractions 9418/236,7557/7632 is 1/450288

Least Common Multiple of 236,7632 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 236,7632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,7632) = 4

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

GCF(236,7632) x common factors =4 x 1 = 4

LCM(236,7632) = ( 236 × 7632 ) / 4

LCM(236,7632) = 1801152 / 4

LCM(236,7632) = 450288

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FAQs on GCF of Fractions of 9418/236, 7557/7632

1. What is the HCF of 9418,7557?

The HCF of 9418,7557 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 9418/236, 7557/7632?

Answer: GCF of Numerators as per given numbers 9418/236, 7557/7632 is

GCF of Numerators i.e. for 9418,7557 is 1

LCM of denominators i.e. for 236,7632 is 450288.

Thus, GCF of Fractions is 1/450288.Finally, GCF of Fractions for 9418/236, 7557/7632 is 1/450288.