Greatest Common Factor of 6834/987, 1688/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6834/987, 1688/120

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 6834/987,1688/120

Given fractions are 6834/987,1688/120

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 6834,1688

Greatest Common Factor of Numerators i.e. GCF of 6834,1688 is 2 .

LCM of Denominators means LCM of 987,120 as per the given fractions.

LCM of 987,120 is 39480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6834,1688

GCF of Fractions 6834/987,1688/120 is 2/39480

2 6834, 1688
3417, 844

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

Greatest Common Factor of 6834,1688 By Matching Biggest Common Factor Method

Greatest Common Factor of 6834,1688 By Matching Biggest Common Factor Method

Factors of 6834

List of positive integer factors of 6834 that divides 6834 without a remainder.

1,2,3,6,17,34,51,67,102,134,201,402,1139,2278,3417,6834

Factors of 1688

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

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

Greatest Common Factor

We found the factors 6834,1688 . The biggest common factor number is the GCF number.
So the greatest common factor 6834,1688 is 2.

Lets's calculate LCM of 987,120

3 987, 120
329, 40

∴ So the LCM of the given numbers is 3 x 329 x 40 = 39480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39480

Therefore, the GCF of Fractions 6834/987,1688/120 is 2/39480

Least Common Multiple of 987,120 with GCF Formula

Least Common Multiple of 987,120 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 987,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,120) = 3

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

GCF(987,120) x common factors =3 x 1 = 3

LCM(987,120) = ( 987 × 120 ) / 3

LCM(987,120) = 118440 / 3

LCM(987,120) = 39480


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 6834/987, 1688/120

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 6834/987, 1688/120?

Answer: GCF of Numerators as per given numbers 6834/987, 1688/120 is

GCF of Numerators i.e. for 6834,1688 is 2

LCM of denominators i.e. for 987,120 is 39480.

Thus, GCF of Fractions is 2/39480.Finally, GCF of Fractions for 6834/987, 1688/120 is 2/39480.