Greatest Common Factor of 1382/92, 1585/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1382/92, 1585/751

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 1382/92,1585/751

Given fractions are 1382/92,1585/751

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 1382,1585

Greatest Common Factor of Numerators i.e. GCF of 1382,1585 is 1 .

LCM of Denominators means LCM of 92,751 as per the given fractions.

LCM of 92,751 is 69092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1382,1585

GCF of Fractions 1382/92,1585/751 is 1/69092

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

Greatest Common Factor of 1382,1585 By Matching Biggest Common Factor Method

Greatest Common Factor of 1382,1585 By Matching Biggest Common Factor Method

Factors of 1382

List of positive integer factors of 1382 that divides 1382 without a remainder.

1,2,691,1382

Factors of 1585

List of positive integer factors of 1585 that divides 1585 without a remainder.

1,5,317,1585

Greatest Common Factor

We found the factors 1382,1585 . The biggest common factor number is the GCF number.
So the greatest common factor 1382,1585 is 1.

Lets's calculate LCM of 92,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 69092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69092

Therefore, the GCF of Fractions 1382/92,1585/751 is 1/69092

Least Common Multiple of 92,751 with GCF Formula

Least Common Multiple of 92,751 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 92,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,751) = 1

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

GCF(92,751) x common factors =1 x 1 = 1

LCM(92,751) = ( 92 × 751 ) / 1

LCM(92,751) = 69092 / 1

LCM(92,751) = 69092


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 1382/92, 1585/751

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 1382/92, 1585/751?

Answer: GCF of Numerators as per given numbers 1382/92, 1585/751 is

GCF of Numerators i.e. for 1382,1585 is 1

LCM of denominators i.e. for 92,751 is 69092.

Thus, GCF of Fractions is 1/69092.Finally, GCF of Fractions for 1382/92, 1585/751 is 1/69092.