Greatest Common Factor of 1457/692, 1874/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1457/692, 1874/705

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 1457/692,1874/705

Given fractions are 1457/692,1874/705

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 1457,1874

Greatest Common Factor of Numerators i.e. GCF of 1457,1874 is 1 .

LCM of Denominators means LCM of 692,705 as per the given fractions.

LCM of 692,705 is 487860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1457,1874

GCF of Fractions 1457/692,1874/705 is 1/487860

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

Greatest Common Factor of 1457,1874 By Matching Biggest Common Factor Method

Greatest Common Factor of 1457,1874 By Matching Biggest Common Factor Method

Factors of 1457

List of positive integer factors of 1457 that divides 1457 without a remainder.

1,31,47,1457

Factors of 1874

List of positive integer factors of 1874 that divides 1874 without a remainder.

1,2,937,1874

Greatest Common Factor

We found the factors 1457,1874 . The biggest common factor number is the GCF number.
So the greatest common factor 1457,1874 is 1.

Lets's calculate LCM of 692,705

Given numbers has no common factors except 1. So, there LCM is their product i.e 487860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/487860

Therefore, the GCF of Fractions 1457/692,1874/705 is 1/487860

Least Common Multiple of 692,705 with GCF Formula

Least Common Multiple of 692,705 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 692,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,705) = 1

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

GCF(692,705) x common factors =1 x 1 = 1

LCM(692,705) = ( 692 × 705 ) / 1

LCM(692,705) = 487860 / 1

LCM(692,705) = 487860


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 1457/692, 1874/705

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 1457/692, 1874/705?

Answer: GCF of Numerators as per given numbers 1457/692, 1874/705 is

GCF of Numerators i.e. for 1457,1874 is 1

LCM of denominators i.e. for 692,705 is 487860.

Thus, GCF of Fractions is 1/487860.Finally, GCF of Fractions for 1457/692, 1874/705 is 1/487860.