Greatest Common Factor of 5650/34, 3986/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5650/34, 3986/386

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 5650/34,3986/386

Given fractions are 5650/34,3986/386

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 5650,3986

Greatest Common Factor of Numerators i.e. GCF of 5650,3986 is 2 .

LCM of Denominators means LCM of 34,386 as per the given fractions.

LCM of 34,386 is 6562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5650,3986

GCF of Fractions 5650/34,3986/386 is 2/6562

2 5650, 3986
2825, 1993

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

Greatest Common Factor of 5650,3986 By Matching Biggest Common Factor Method

Greatest Common Factor of 5650,3986 By Matching Biggest Common Factor Method

Factors of 5650

List of positive integer factors of 5650 that divides 5650 without a remainder.

1,2,5,10,25,50,113,226,565,1130,2825,5650

Factors of 3986

List of positive integer factors of 3986 that divides 3986 without a remainder.

1,2,1993,3986

Greatest Common Factor

We found the factors 5650,3986 . The biggest common factor number is the GCF number.
So the greatest common factor 5650,3986 is 2.

Lets's calculate LCM of 34,386

2 34, 386
17, 193

∴ So the LCM of the given numbers is 2 x 17 x 193 = 6562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6562

Therefore, the GCF of Fractions 5650/34,3986/386 is 2/6562

Least Common Multiple of 34,386 with GCF Formula

Least Common Multiple of 34,386 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 34,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,386) = 2

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

GCF(34,386) x common factors =2 x 1 = 2

LCM(34,386) = ( 34 × 386 ) / 2

LCM(34,386) = 13124 / 2

LCM(34,386) = 6562


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 5650/34, 3986/386

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 5650/34, 3986/386?

Answer: GCF of Numerators as per given numbers 5650/34, 3986/386 is

GCF of Numerators i.e. for 5650,3986 is 2

LCM of denominators i.e. for 34,386 is 6562.

Thus, GCF of Fractions is 2/6562.Finally, GCF of Fractions for 5650/34, 3986/386 is 2/6562.