Greatest Common Factor of 6440/998, 1095/5827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6440/998, 1095/5827

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 6440/998,1095/5827

Given fractions are 6440/998,1095/5827

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 6440,1095

Greatest Common Factor of Numerators i.e. GCF of 6440,1095 is 5 .

LCM of Denominators means LCM of 998,5827 as per the given fractions.

LCM of 998,5827 is 5815346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6440,1095

GCF of Fractions 6440/998,1095/5827 is 5/5815346

5 6440, 1095
1288, 219

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6440,1095 By Matching Biggest Common Factor Method

Greatest Common Factor of 6440,1095 By Matching Biggest Common Factor Method

Factors of 6440

List of positive integer factors of 6440 that divides 6440 without a remainder.

1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440

Factors of 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1,3,5,15,73,219,365,1095

Greatest Common Factor

We found the factors 6440,1095 . The biggest common factor number is the GCF number.
So the greatest common factor 6440,1095 is 5.

Lets's calculate LCM of 998,5827

Given numbers has no common factors except 1. So, there LCM is their product i.e 5815346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5815346

Therefore, the GCF of Fractions 6440/998,1095/5827 is 5/5815346

Least Common Multiple of 998,5827 with GCF Formula

Least Common Multiple of 998,5827 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 998,5827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,5827) = 1

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

GCF(998,5827) x common factors =1 x 1 = 1

LCM(998,5827) = ( 998 × 5827 ) / 1

LCM(998,5827) = 5815346 / 1

LCM(998,5827) = 5815346


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 6440/998, 1095/5827

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 6440/998, 1095/5827?

Answer: GCF of Numerators as per given numbers 6440/998, 1095/5827 is

GCF of Numerators i.e. for 6440,1095 is 5

LCM of denominators i.e. for 998,5827 is 5815346.

Thus, GCF of Fractions is 5/5815346.Finally, GCF of Fractions for 6440/998, 1095/5827 is 5/5815346.