Greatest Common Factor of 630/844, 3040/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/844, 3040/858

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 630/844,3040/858

Given fractions are 630/844,3040/858

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 630,3040

Greatest Common Factor of Numerators i.e. GCF of 630,3040 is 10 .

LCM of Denominators means LCM of 844,858 as per the given fractions.

LCM of 844,858 is 362076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,3040

GCF of Fractions 630/844,3040/858 is 10/362076

2 630, 3040
5 315, 1520
63, 304

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 630,3040 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,3040 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 3040

List of positive integer factors of 3040 that divides 3040 without a remainder.

1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040

Greatest Common Factor

We found the factors 630,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 630,3040 is 10.

Lets's calculate LCM of 844,858

2 844, 858
422, 429

∴ So the LCM of the given numbers is 2 x 422 x 429 = 362076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/362076

Therefore, the GCF of Fractions 630/844,3040/858 is 10/362076

Least Common Multiple of 844,858 with GCF Formula

Least Common Multiple of 844,858 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 844,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,858) = 2

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

GCF(844,858) x common factors =2 x 1 = 2

LCM(844,858) = ( 844 × 858 ) / 2

LCM(844,858) = 724152 / 2

LCM(844,858) = 362076


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 630/844, 3040/858

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 630/844, 3040/858?

Answer: GCF of Numerators as per given numbers 630/844, 3040/858 is

GCF of Numerators i.e. for 630,3040 is 10

LCM of denominators i.e. for 844,858 is 362076.

Thus, GCF of Fractions is 10/362076.Finally, GCF of Fractions for 630/844, 3040/858 is 10/362076.