How to Find GCF of 7618/234, 5083/574?

GCF of 7618/234, 5083/574

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 7618/234, 5083/574 i.e 13/67158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7618/234, 5083/574.

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 7618/234,5083/574?

Given fractions are 7618/234,5083/574

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 7618/234,5083/574, numerators are 7618,5083

Denominators are 234,574

The GCF of 7618,5083 is 13 .

LCM of 234,574 is 67158.

The greatest common factor of 7618/234,5083/574 = [GCF of 7618,5083]/[LCM of 234,574]= 13/67158

Therefore, the GCF of 7618/234,5083/574 is 13/67158.

Greatest Common Factor of 7618,5083

To find the highest common factor of 7618,5083, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083

The HCF of 7618,5083 is 13.

Lets's calculate GCF of 7618,5083

Greatest Common Factor (GCF) of 7618,5083 By Common Division

13	7618, 5083
	586, 391

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

Greatest Common Factor of 7618,5083 By Matching Biggest Common Factor Method

Now, list down the factors of 7618

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

Now, list down the factors of 5083

1,13,17,23,221,299,391,5083

Greatest Common Factor

We found the factors 7618,5083 . The biggest common factor number is the GCF number.
So the greatest common factor 7618,5083 is 13.

Lets's calculate LCM of 234,574

Lowest Common Multiple of 234,574 using Common Division

2	234, 574
	117, 287

∴ So the LCM of the given numbers is 2 x 117 x 287 = 67158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/67158

Therefore, the GCF of Fractions 7618/234,5083/574 is 13/67158

Least Common Multiple of 234,574 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 234,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,574) = 2

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

GCF(234,574) x common factors =2 x 1 = 2

LCM(234,574) = ( 234 × 574 ) / 2

LCM(234,574) = 134316 / 2

LCM(234,574) = 67158

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FAQs on GCF of Fractions of 7618/234, 5083/574

1. What is the HCF of 7618,5083?

The HCF of 7618,5083 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 7618/234, 5083/574?

Answer: GCF of Numerators as per given numbers 7618/234, 5083/574 is

GCF of Numerators i.e. for 7618,5083 is 13

LCM of denominators i.e. for 234,574 is 67158.

Thus, GCF of Fractions is 13/67158.Finally, GCF of Fractions for 7618/234, 5083/574 is 13/67158.