Greatest Common Factor of 1724/461, 9992/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1724/461, 9992/700

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 1724/461,9992/700

Given fractions are 1724/461,9992/700

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 1724,9992

Greatest Common Factor of Numerators i.e. GCF of 1724,9992 is 4 .

LCM of Denominators means LCM of 461,700 as per the given fractions.

LCM of 461,700 is 322700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1724,9992

GCF of Fractions 1724/461,9992/700 is 4/322700

2 1724, 9992
2 862, 4996
431, 2498

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

Greatest Common Factor of 1724,9992 By Matching Biggest Common Factor Method

Greatest Common Factor of 1724,9992 By Matching Biggest Common Factor Method

Factors of 1724

List of positive integer factors of 1724 that divides 1724 without a remainder.

1,2,4,431,862,1724

Factors of 9992

List of positive integer factors of 9992 that divides 9992 without a remainder.

1,2,4,8,1249,2498,4996,9992

Greatest Common Factor

We found the factors 1724,9992 . The biggest common factor number is the GCF number.
So the greatest common factor 1724,9992 is 4.

Lets's calculate LCM of 461,700

Given numbers has no common factors except 1. So, there LCM is their product i.e 322700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/322700

Therefore, the GCF of Fractions 1724/461,9992/700 is 4/322700

Least Common Multiple of 461,700 with GCF Formula

Least Common Multiple of 461,700 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 461,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,700) = 1

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

GCF(461,700) x common factors =1 x 1 = 1

LCM(461,700) = ( 461 × 700 ) / 1

LCM(461,700) = 322700 / 1

LCM(461,700) = 322700


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 1724/461, 9992/700

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 1724/461, 9992/700?

Answer: GCF of Numerators as per given numbers 1724/461, 9992/700 is

GCF of Numerators i.e. for 1724,9992 is 4

LCM of denominators i.e. for 461,700 is 322700.

Thus, GCF of Fractions is 4/322700.Finally, GCF of Fractions for 1724/461, 9992/700 is 4/322700.