Greatest Common Factor of 1453/854, 8004/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1453/854, 8004/754

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 1453/854,8004/754

Given fractions are 1453/854,8004/754

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 1453,8004

Greatest Common Factor of Numerators i.e. GCF of 1453,8004 is 1 .

LCM of Denominators means LCM of 854,754 as per the given fractions.

LCM of 854,754 is 321958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1453,8004

GCF of Fractions 1453/854,8004/754 is 1/321958

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

Greatest Common Factor of 1453,8004 By Matching Biggest Common Factor Method

Greatest Common Factor of 1453,8004 By Matching Biggest Common Factor Method

Factors of 1453

List of positive integer factors of 1453 that divides 1453 without a remainder.

1,1453

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 1453,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 1453,8004 is 1.

Lets's calculate LCM of 854,754

2 854, 754
427, 377

∴ So the LCM of the given numbers is 2 x 427 x 377 = 321958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321958

Therefore, the GCF of Fractions 1453/854,8004/754 is 1/321958

Least Common Multiple of 854,754 with GCF Formula

Least Common Multiple of 854,754 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 854,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,754) = 2

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

GCF(854,754) x common factors =2 x 1 = 2

LCM(854,754) = ( 854 × 754 ) / 2

LCM(854,754) = 643916 / 2

LCM(854,754) = 321958


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 1453/854, 8004/754

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 1453/854, 8004/754?

Answer: GCF of Numerators as per given numbers 1453/854, 8004/754 is

GCF of Numerators i.e. for 1453,8004 is 1

LCM of denominators i.e. for 854,754 is 321958.

Thus, GCF of Fractions is 1/321958.Finally, GCF of Fractions for 1453/854, 8004/754 is 1/321958.