Greatest Common Factor of 6290/421, 3778/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6290/421, 3778/920

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 6290/421,3778/920

Given fractions are 6290/421,3778/920

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 6290,3778

Greatest Common Factor of Numerators i.e. GCF of 6290,3778 is 2 .

LCM of Denominators means LCM of 421,920 as per the given fractions.

LCM of 421,920 is 387320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6290,3778

GCF of Fractions 6290/421,3778/920 is 2/387320

2 6290, 3778
3145, 1889

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

Greatest Common Factor of 6290,3778 By Matching Biggest Common Factor Method

Greatest Common Factor of 6290,3778 By Matching Biggest Common Factor Method

Factors of 6290

List of positive integer factors of 6290 that divides 6290 without a remainder.

1,2,5,10,17,34,37,74,85,170,185,370,629,1258,3145,6290

Factors of 3778

List of positive integer factors of 3778 that divides 3778 without a remainder.

1,2,1889,3778

Greatest Common Factor

We found the factors 6290,3778 . The biggest common factor number is the GCF number.
So the greatest common factor 6290,3778 is 2.

Lets's calculate LCM of 421,920

Given numbers has no common factors except 1. So, there LCM is their product i.e 387320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/387320

Therefore, the GCF of Fractions 6290/421,3778/920 is 2/387320

Least Common Multiple of 421,920 with GCF Formula

Least Common Multiple of 421,920 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 421,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,920) = 1

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

GCF(421,920) x common factors =1 x 1 = 1

LCM(421,920) = ( 421 × 920 ) / 1

LCM(421,920) = 387320 / 1

LCM(421,920) = 387320


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 6290/421, 3778/920

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 6290/421, 3778/920?

Answer: GCF of Numerators as per given numbers 6290/421, 3778/920 is

GCF of Numerators i.e. for 6290,3778 is 2

LCM of denominators i.e. for 421,920 is 387320.

Thus, GCF of Fractions is 2/387320.Finally, GCF of Fractions for 6290/421, 3778/920 is 2/387320.