Greatest Common Factor of 674/630, 5840/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 674/630, 5840/830

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 674/630,5840/830

Given fractions are 674/630,5840/830

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 674,5840

Greatest Common Factor of Numerators i.e. GCF of 674,5840 is 2 .

LCM of Denominators means LCM of 630,830 as per the given fractions.

LCM of 630,830 is 52290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 674,5840

GCF of Fractions 674/630,5840/830 is 2/52290

2 674, 5840
337, 2920

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

Greatest Common Factor of 674,5840 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,5840 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840

Greatest Common Factor

We found the factors 674,5840 . The biggest common factor number is the GCF number.
So the greatest common factor 674,5840 is 2.

Lets's calculate LCM of 630,830

2 630, 830
5 315, 415
63, 83

∴ So the LCM of the given numbers is 2 x 5 x 63 x 83 = 52290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52290

Therefore, the GCF of Fractions 674/630,5840/830 is 2/52290

Least Common Multiple of 630,830 with GCF Formula

Least Common Multiple of 630,830 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 630,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,830) = 10

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

GCF(630,830) x common factors =10 x 1 = 10

LCM(630,830) = ( 630 × 830 ) / 10

LCM(630,830) = 522900 / 10

LCM(630,830) = 52290


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 674/630, 5840/830

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 674/630, 5840/830?

Answer: GCF of Numerators as per given numbers 674/630, 5840/830 is

GCF of Numerators i.e. for 674,5840 is 2

LCM of denominators i.e. for 630,830 is 52290.

Thus, GCF of Fractions is 2/52290.Finally, GCF of Fractions for 674/630, 5840/830 is 2/52290.