Greatest Common Factor of 1688/235, 3070/3676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1688/235, 3070/3676

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 1688/235,3070/3676

Given fractions are 1688/235,3070/3676

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 1688,3070

Greatest Common Factor of Numerators i.e. GCF of 1688,3070 is 2 .

LCM of Denominators means LCM of 235,3676 as per the given fractions.

LCM of 235,3676 is 863860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1688,3070

GCF of Fractions 1688/235,3070/3676 is 2/863860

2 1688, 3070
844, 1535

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

Greatest Common Factor of 1688,3070 By Matching Biggest Common Factor Method

Greatest Common Factor of 1688,3070 By Matching Biggest Common Factor Method

Factors of 1688

List of positive integer factors of 1688 that divides 1688 without a remainder.

1,2,4,8,211,422,844,1688

Factors of 3070

List of positive integer factors of 3070 that divides 3070 without a remainder.

1,2,5,10,307,614,1535,3070

Greatest Common Factor

We found the factors 1688,3070 . The biggest common factor number is the GCF number.
So the greatest common factor 1688,3070 is 2.

Lets's calculate LCM of 235,3676

Given numbers has no common factors except 1. So, there LCM is their product i.e 863860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/863860

Therefore, the GCF of Fractions 1688/235,3070/3676 is 2/863860

Least Common Multiple of 235,3676 with GCF Formula

Least Common Multiple of 235,3676 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 235,3676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,3676) = 1

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

GCF(235,3676) x common factors =1 x 1 = 1

LCM(235,3676) = ( 235 × 3676 ) / 1

LCM(235,3676) = 863860 / 1

LCM(235,3676) = 863860


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 1688/235, 3070/3676

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 1688/235, 3070/3676?

Answer: GCF of Numerators as per given numbers 1688/235, 3070/3676 is

GCF of Numerators i.e. for 1688,3070 is 2

LCM of denominators i.e. for 235,3676 is 863860.

Thus, GCF of Fractions is 2/863860.Finally, GCF of Fractions for 1688/235, 3070/3676 is 2/863860.