Greatest Common Factor of 1680/517, 3668/7628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1680/517, 3668/7628

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 1680/517,3668/7628

Given fractions are 1680/517,3668/7628

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 1680,3668

Greatest Common Factor of Numerators i.e. GCF of 1680,3668 is 28 .

LCM of Denominators means LCM of 517,7628 as per the given fractions.

LCM of 517,7628 is 3943676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1680,3668

GCF of Fractions 1680/517,3668/7628 is 28/3943676

2 1680, 3668
2 840, 1834
7 420, 917
60, 131

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 1680,3668 By Matching Biggest Common Factor Method

Greatest Common Factor of 1680,3668 By Matching Biggest Common Factor Method

Factors of 1680

List of positive integer factors of 1680 that divides 1680 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,35,40,42,48,56,60,70,80,84,105,112,120,140,168,210,240,280,336,420,560,840,1680

Factors of 3668

List of positive integer factors of 3668 that divides 3668 without a remainder.

1,2,4,7,14,28,131,262,524,917,1834,3668

Greatest Common Factor

We found the factors 1680,3668 . The biggest common factor number is the GCF number.
So the greatest common factor 1680,3668 is 28.

Lets's calculate LCM of 517,7628

Given numbers has no common factors except 1. So, there LCM is their product i.e 3943676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/3943676

Therefore, the GCF of Fractions 1680/517,3668/7628 is 28/3943676

Least Common Multiple of 517,7628 with GCF Formula

Least Common Multiple of 517,7628 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 517,7628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,7628) = 1

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

GCF(517,7628) x common factors =1 x 1 = 1

LCM(517,7628) = ( 517 × 7628 ) / 1

LCM(517,7628) = 3943676 / 1

LCM(517,7628) = 3943676


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 1680/517, 3668/7628

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 1680/517, 3668/7628?

Answer: GCF of Numerators as per given numbers 1680/517, 3668/7628 is

GCF of Numerators i.e. for 1680,3668 is 28

LCM of denominators i.e. for 517,7628 is 3943676.

Thus, GCF of Fractions is 28/3943676.Finally, GCF of Fractions for 1680/517, 3668/7628 is 28/3943676.