Greatest Common Factor of 6768/917, 1690/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6768/917, 1690/106

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 6768/917,1690/106

Given fractions are 6768/917,1690/106

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 6768,1690

Greatest Common Factor of Numerators i.e. GCF of 6768,1690 is 2 .

LCM of Denominators means LCM of 917,106 as per the given fractions.

LCM of 917,106 is 97202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6768,1690

GCF of Fractions 6768/917,1690/106 is 2/97202

2 6768, 1690
3384, 845

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

Greatest Common Factor of 6768,1690 By Matching Biggest Common Factor Method

Greatest Common Factor of 6768,1690 By Matching Biggest Common Factor Method

Factors of 6768

List of positive integer factors of 6768 that divides 6768 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768

Factors of 1690

List of positive integer factors of 1690 that divides 1690 without a remainder.

1,2,5,10,13,26,65,130,169,338,845,1690

Greatest Common Factor

We found the factors 6768,1690 . The biggest common factor number is the GCF number.
So the greatest common factor 6768,1690 is 2.

Lets's calculate LCM of 917,106

Given numbers has no common factors except 1. So, there LCM is their product i.e 97202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97202

Therefore, the GCF of Fractions 6768/917,1690/106 is 2/97202

Least Common Multiple of 917,106 with GCF Formula

Least Common Multiple of 917,106 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 917,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,106) = 1

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

GCF(917,106) x common factors =1 x 1 = 1

LCM(917,106) = ( 917 × 106 ) / 1

LCM(917,106) = 97202 / 1

LCM(917,106) = 97202


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 6768/917, 1690/106

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 6768/917, 1690/106?

Answer: GCF of Numerators as per given numbers 6768/917, 1690/106 is

GCF of Numerators i.e. for 6768,1690 is 2

LCM of denominators i.e. for 917,106 is 97202.

Thus, GCF of Fractions is 2/97202.Finally, GCF of Fractions for 6768/917, 1690/106 is 2/97202.