Greatest Common Factor of 5360/437, 1586/3868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5360/437, 1586/3868

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5360/437,1586/3868

Given fractions are 5360/437,1586/3868

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5360,1586

Greatest Common Factor of Numerators i.e. GCF of 5360,1586 is 2 .

LCM of Denominators means LCM of 437,3868 as per the given fractions.

LCM of 437,3868 is 1690316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5360,1586

GCF of Fractions 5360/437,1586/3868 is 2/1690316

2 5360, 1586
2680, 793

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

Greatest Common Factor of 5360,1586 By Matching Biggest Common Factor Method

Greatest Common Factor of 5360,1586 By Matching Biggest Common Factor Method

Factors of 5360

List of positive integer factors of 5360 that divides 5360 without a remainder.

1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360

Factors of 1586

List of positive integer factors of 1586 that divides 1586 without a remainder.

1,2,13,26,61,122,793,1586

Greatest Common Factor

We found the factors 5360,1586 . The biggest common factor number is the GCF number.
So the greatest common factor 5360,1586 is 2.

Lets's calculate LCM of 437,3868

Given numbers has no common factors except 1. So, there LCM is their product i.e 1690316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1690316

Therefore, the GCF of Fractions 5360/437,1586/3868 is 2/1690316

Least Common Multiple of 437,3868 with GCF Formula

Least Common Multiple of 437,3868 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 437,3868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,3868) = 1

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

GCF(437,3868) x common factors =1 x 1 = 1

LCM(437,3868) = ( 437 × 3868 ) / 1

LCM(437,3868) = 1690316 / 1

LCM(437,3868) = 1690316


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5360/437, 1586/3868

1. 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.

2. What is the GCF of Fractions for 5360/437, 1586/3868?

Answer: GCF of Numerators as per given numbers 5360/437, 1586/3868 is

GCF of Numerators i.e. for 5360,1586 is 2

LCM of denominators i.e. for 437,3868 is 1690316.

Thus, GCF of Fractions is 2/1690316.Finally, GCF of Fractions for 5360/437, 1586/3868 is 2/1690316.