How to Find GCF of 6114/687, 5416/4684?

GCF of 6114/687, 5416/4684

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 6114/687, 5416/4684 i.e 2/3217908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6114/687, 5416/4684.

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 6114/687,5416/4684?

Given fractions are 6114/687,5416/4684

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 6114/687,5416/4684, numerators are 6114,5416

Denominators are 687,4684

The GCF of 6114,5416 is 2 .

LCM of 687,4684 is 3217908.

The greatest common factor of 6114/687,5416/4684 = [GCF of 6114,5416]/[LCM of 687,4684]= 2/3217908

Therefore, the GCF of 6114/687,5416/4684 is 2/3217908.

Greatest Common Factor of 6114,5416

To find the highest common factor of 6114,5416, we have to find the factors of both numbers and list the highest common factor.

The factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114

The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416

The HCF of 6114,5416 is 2.

Lets's calculate GCF of 6114,5416

Greatest Common Factor (GCF) of 6114,5416 By Common Division

2	6114, 5416
	3057, 2708

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

Greatest Common Factor of 6114,5416 By Matching Biggest Common Factor Method

Now, list down the factors of 6114

1,2,3,6,1019,2038,3057,6114

Now, list down the factors of 5416

1,2,4,8,677,1354,2708,5416

Greatest Common Factor

We found the factors 6114,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 6114,5416 is 2.

Lets's calculate LCM of 687,4684

Lowest Common Multiple of 687,4684 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3217908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3217908

Therefore, the GCF of Fractions 6114/687,5416/4684 is 2/3217908

Least Common Multiple of 687,4684 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 687,4684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,4684) = 1

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

GCF(687,4684) x common factors =1 x 1 = 1

LCM(687,4684) = ( 687 × 4684 ) / 1

LCM(687,4684) = 3217908 / 1

LCM(687,4684) = 3217908

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FAQs on GCF of Fractions of 6114/687, 5416/4684

1. What is the HCF of 6114,5416?

The HCF of 6114,5416 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 6114/687, 5416/4684?

Answer: GCF of Numerators as per given numbers 6114/687, 5416/4684 is

GCF of Numerators i.e. for 6114,5416 is 2

LCM of denominators i.e. for 687,4684 is 3217908.

Thus, GCF of Fractions is 2/3217908.Finally, GCF of Fractions for 6114/687, 5416/4684 is 2/3217908.