Greatest Common Factor of 1687/700, 7279/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1687/700, 7279/992

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 1687/700,7279/992

Given fractions are 1687/700,7279/992

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 1687,7279

Greatest Common Factor of Numerators i.e. GCF of 1687,7279 is 1 .

LCM of Denominators means LCM of 700,992 as per the given fractions.

LCM of 700,992 is 173600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1687,7279

GCF of Fractions 1687/700,7279/992 is 1/173600

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1687,7279 By Matching Biggest Common Factor Method

Greatest Common Factor of 1687,7279 By Matching Biggest Common Factor Method

Factors of 1687

List of positive integer factors of 1687 that divides 1687 without a remainder.

1,7,241,1687

Factors of 7279

List of positive integer factors of 7279 that divides 7279 without a remainder.

1,29,251,7279

Greatest Common Factor

We found the factors 1687,7279 . The biggest common factor number is the GCF number.
So the greatest common factor 1687,7279 is 1.

Lets's calculate LCM of 700,992

2 700, 992
2 350, 496
175, 248

∴ So the LCM of the given numbers is 2 x 2 x 175 x 248 = 173600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173600

Therefore, the GCF of Fractions 1687/700,7279/992 is 1/173600

Least Common Multiple of 700,992 with GCF Formula

Least Common Multiple of 700,992 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 700,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,992) = 4

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

GCF(700,992) x common factors =4 x 1 = 4

LCM(700,992) = ( 700 × 992 ) / 4

LCM(700,992) = 694400 / 4

LCM(700,992) = 173600


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 1687/700, 7279/992

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 1687/700, 7279/992?

Answer: GCF of Numerators as per given numbers 1687/700, 7279/992 is

GCF of Numerators i.e. for 1687,7279 is 1

LCM of denominators i.e. for 700,992 is 173600.

Thus, GCF of Fractions is 1/173600.Finally, GCF of Fractions for 1687/700, 7279/992 is 1/173600.