Greatest Common Factor of 773/648, 1427/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 773/648, 1427/894

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 773/648,1427/894

Given fractions are 773/648,1427/894

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 773,1427

Greatest Common Factor of Numerators i.e. GCF of 773,1427 is 1 .

LCM of Denominators means LCM of 648,894 as per the given fractions.

LCM of 648,894 is 96552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 773,1427

GCF of Fractions 773/648,1427/894 is 1/96552

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

Greatest Common Factor of 773,1427 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,1427 By Matching Biggest Common Factor Method

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 1427

List of positive integer factors of 1427 that divides 1427 without a remainder.

1,1427

Greatest Common Factor

We found the factors 773,1427 . The biggest common factor number is the GCF number.
So the greatest common factor 773,1427 is 1.

Lets's calculate LCM of 648,894

2 648, 894
3 324, 447
108, 149

∴ So the LCM of the given numbers is 2 x 3 x 108 x 149 = 96552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96552

Therefore, the GCF of Fractions 773/648,1427/894 is 1/96552

Least Common Multiple of 648,894 with GCF Formula

Least Common Multiple of 648,894 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 648,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,894) = 6

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

GCF(648,894) x common factors =6 x 1 = 6

LCM(648,894) = ( 648 × 894 ) / 6

LCM(648,894) = 579312 / 6

LCM(648,894) = 96552


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 773/648, 1427/894

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 773/648, 1427/894?

Answer: GCF of Numerators as per given numbers 773/648, 1427/894 is

GCF of Numerators i.e. for 773,1427 is 1

LCM of denominators i.e. for 648,894 is 96552.

Thus, GCF of Fractions is 1/96552.Finally, GCF of Fractions for 773/648, 1427/894 is 1/96552.