Greatest Common Factor of 1708/758, 6660/4166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1708/758, 6660/4166

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 1708/758,6660/4166

Given fractions are 1708/758,6660/4166

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 1708,6660

Greatest Common Factor of Numerators i.e. GCF of 1708,6660 is 4 .

LCM of Denominators means LCM of 758,4166 as per the given fractions.

LCM of 758,4166 is 1578914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1708,6660

GCF of Fractions 1708/758,6660/4166 is 4/1578914

2 1708, 6660
2 854, 3330
427, 1665

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1708,6660 By Matching Biggest Common Factor Method

Greatest Common Factor of 1708,6660 By Matching Biggest Common Factor Method

Factors of 1708

List of positive integer factors of 1708 that divides 1708 without a remainder.

1,2,4,7,14,28,61,122,244,427,854,1708

Factors of 6660

List of positive integer factors of 6660 that divides 6660 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,37,45,60,74,90,111,148,180,185,222,333,370,444,555,666,740,1110,1332,1665,2220,3330,6660

Greatest Common Factor

We found the factors 1708,6660 . The biggest common factor number is the GCF number.
So the greatest common factor 1708,6660 is 4.

Lets's calculate LCM of 758,4166

2 758, 4166
379, 2083

∴ So the LCM of the given numbers is 2 x 379 x 2083 = 1578914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1578914

Therefore, the GCF of Fractions 1708/758,6660/4166 is 4/1578914

Least Common Multiple of 758,4166 with GCF Formula

Least Common Multiple of 758,4166 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 758,4166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,4166) = 2

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

GCF(758,4166) x common factors =2 x 1 = 2

LCM(758,4166) = ( 758 × 4166 ) / 2

LCM(758,4166) = 3157828 / 2

LCM(758,4166) = 1578914


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 1708/758, 6660/4166

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 1708/758, 6660/4166?

Answer: GCF of Numerators as per given numbers 1708/758, 6660/4166 is

GCF of Numerators i.e. for 1708,6660 is 4

LCM of denominators i.e. for 758,4166 is 1578914.

Thus, GCF of Fractions is 4/1578914.Finally, GCF of Fractions for 1708/758, 6660/4166 is 4/1578914.