How to Find GCF of 8879/236, 7618/1348?

GCF of 8879/236, 7618/1348

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 8879/236, 7618/1348 i.e 13/79532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8879/236, 7618/1348.

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 8879/236,7618/1348?

Given fractions are 8879/236,7618/1348

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 8879/236,7618/1348, numerators are 8879,7618

Denominators are 236,1348

The GCF of 8879,7618 is 13 .

LCM of 236,1348 is 79532.

The greatest common factor of 8879/236,7618/1348 = [GCF of 8879,7618]/[LCM of 236,1348]= 13/79532

Therefore, the GCF of 8879/236,7618/1348 is 13/79532.

Greatest Common Factor of 8879,7618

To find the highest common factor of 8879,7618, we have to find the factors of both numbers and list the highest common factor.

The factors of 8879 are 1, 13, 683, 8879

The factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618

The HCF of 8879,7618 is 13.

Lets's calculate GCF of 8879,7618

Greatest Common Factor (GCF) of 8879,7618 By Common Division

13	8879, 7618
	683, 586

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8879,7618 By Matching Biggest Common Factor Method

Now, list down the factors of 8879

1,13,683,8879

Now, list down the factors of 7618

1,2,13,26,293,586,3809,7618

Greatest Common Factor

We found the factors 8879,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 8879,7618 is 13.

Lets's calculate LCM of 236,1348

Lowest Common Multiple of 236,1348 using Common Division

2	236, 1348
2	118, 674
	59, 337

∴ So the LCM of the given numbers is 2 x 2 x 59 x 337 = 79532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/79532

Therefore, the GCF of Fractions 8879/236,7618/1348 is 13/79532

Least Common Multiple of 236,1348 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 236,1348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,1348) = 4

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

GCF(236,1348) x common factors =4 x 1 = 4

LCM(236,1348) = ( 236 × 1348 ) / 4

LCM(236,1348) = 318128 / 4

LCM(236,1348) = 79532

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FAQs on GCF of Fractions of 8879/236, 7618/1348

1. What is the HCF of 8879,7618?

The HCF of 8879,7618 is 13

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 8879/236, 7618/1348?

Answer: GCF of Numerators as per given numbers 8879/236, 7618/1348 is

GCF of Numerators i.e. for 8879,7618 is 13

LCM of denominators i.e. for 236,1348 is 79532.

Thus, GCF of Fractions is 13/79532.Finally, GCF of Fractions for 8879/236, 7618/1348 is 13/79532.