Greatest Common Factor of 5840/614, 7440/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5840/614, 7440/853

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 5840/614,7440/853

Given fractions are 5840/614,7440/853

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 5840,7440

Greatest Common Factor of Numerators i.e. GCF of 5840,7440 is 80 .

LCM of Denominators means LCM of 614,853 as per the given fractions.

LCM of 614,853 is 523742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5840,7440

GCF of Fractions 5840/614,7440/853 is 80/523742

2 5840, 7440
2 2920, 3720
2 1460, 1860
2 730, 930
5 365, 465
73, 93

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80

Greatest Common Factor of 5840,7440 By Matching Biggest Common Factor Method

Greatest Common Factor of 5840,7440 By Matching Biggest Common Factor Method

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

Factors of 7440

List of positive integer factors of 7440 that divides 7440 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440

Greatest Common Factor

We found the factors 5840,7440 . The biggest common factor number is the GCF number.
So the greatest common factor 5840,7440 is 80.

Lets's calculate LCM of 614,853

Given numbers has no common factors except 1. So, there LCM is their product i.e 523742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/523742

Therefore, the GCF of Fractions 5840/614,7440/853 is 80/523742

Least Common Multiple of 614,853 with GCF Formula

Least Common Multiple of 614,853 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 614,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,853) = 1

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

GCF(614,853) x common factors =1 x 1 = 1

LCM(614,853) = ( 614 × 853 ) / 1

LCM(614,853) = 523742 / 1

LCM(614,853) = 523742


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 5840/614, 7440/853

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 5840/614, 7440/853?

Answer: GCF of Numerators as per given numbers 5840/614, 7440/853 is

GCF of Numerators i.e. for 5840,7440 is 80

LCM of denominators i.e. for 614,853 is 523742.

Thus, GCF of Fractions is 80/523742.Finally, GCF of Fractions for 5840/614, 7440/853 is 80/523742.