Greatest Common Factor of 630/6034, 616/1074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/6034, 616/1074

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 630/6034,616/1074

Given fractions are 630/6034,616/1074

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 630,616

Greatest Common Factor of Numerators i.e. GCF of 630,616 is 14 .

LCM of Denominators means LCM of 6034,1074 as per the given fractions.

LCM of 6034,1074 is 3240258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,616

GCF of Fractions 630/6034,616/1074 is 14/3240258

2 630, 616
7 315, 308
45, 44

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 630,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,616 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 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 630,616 . The biggest common factor number is the GCF number.
So the greatest common factor 630,616 is 14.

Lets's calculate LCM of 6034,1074

2 6034, 1074
3017, 537

∴ So the LCM of the given numbers is 2 x 3017 x 537 = 3240258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3240258

Therefore, the GCF of Fractions 630/6034,616/1074 is 14/3240258

Least Common Multiple of 6034,1074 with GCF Formula

Least Common Multiple of 6034,1074 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 6034,1074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6034,1074) = 2

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

GCF(6034,1074) x common factors =2 x 1 = 2

LCM(6034,1074) = ( 6034 × 1074 ) / 2

LCM(6034,1074) = 6480516 / 2

LCM(6034,1074) = 3240258


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 630/6034, 616/1074

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 630/6034, 616/1074?

Answer: GCF of Numerators as per given numbers 630/6034, 616/1074 is

GCF of Numerators i.e. for 630,616 is 14

LCM of denominators i.e. for 6034,1074 is 3240258.

Thus, GCF of Fractions is 14/3240258.Finally, GCF of Fractions for 630/6034, 616/1074 is 14/3240258.