Greatest Common Factor of 6968/889, 3440/1520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6968/889, 3440/1520

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 6968/889,3440/1520

Given fractions are 6968/889,3440/1520

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 6968,3440

Greatest Common Factor of Numerators i.e. GCF of 6968,3440 is 8 .

LCM of Denominators means LCM of 889,1520 as per the given fractions.

LCM of 889,1520 is 1351280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6968,3440

GCF of Fractions 6968/889,3440/1520 is 8/1351280

2 6968, 3440
2 3484, 1720
2 1742, 860
871, 430

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6968,3440 By Matching Biggest Common Factor Method

Greatest Common Factor of 6968,3440 By Matching Biggest Common Factor Method

Factors of 6968

List of positive integer factors of 6968 that divides 6968 without a remainder.

1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968

Factors of 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440

Greatest Common Factor

We found the factors 6968,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 6968,3440 is 8.

Lets's calculate LCM of 889,1520

Given numbers has no common factors except 1. So, there LCM is their product i.e 1351280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1351280

Therefore, the GCF of Fractions 6968/889,3440/1520 is 8/1351280

Least Common Multiple of 889,1520 with GCF Formula

Least Common Multiple of 889,1520 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 889,1520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,1520) = 1

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

GCF(889,1520) x common factors =1 x 1 = 1

LCM(889,1520) = ( 889 × 1520 ) / 1

LCM(889,1520) = 1351280 / 1

LCM(889,1520) = 1351280


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 6968/889, 3440/1520

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 6968/889, 3440/1520?

Answer: GCF of Numerators as per given numbers 6968/889, 3440/1520 is

GCF of Numerators i.e. for 6968,3440 is 8

LCM of denominators i.e. for 889,1520 is 1351280.

Thus, GCF of Fractions is 8/1351280.Finally, GCF of Fractions for 6968/889, 3440/1520 is 8/1351280.