Greatest Common Factor of 3767/893, 5456/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3767/893, 5456/804

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 3767/893,5456/804

Given fractions are 3767/893,5456/804

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 3767,5456

Greatest Common Factor of Numerators i.e. GCF of 3767,5456 is 1 .

LCM of Denominators means LCM of 893,804 as per the given fractions.

LCM of 893,804 is 717972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3767,5456

GCF of Fractions 3767/893,5456/804 is 1/717972

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

Greatest Common Factor of 3767,5456 By Matching Biggest Common Factor Method

Greatest Common Factor of 3767,5456 By Matching Biggest Common Factor Method

Factors of 3767

List of positive integer factors of 3767 that divides 3767 without a remainder.

1,3767

Factors of 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456

Greatest Common Factor

We found the factors 3767,5456 . The biggest common factor number is the GCF number.
So the greatest common factor 3767,5456 is 1.

Lets's calculate LCM of 893,804

Given numbers has no common factors except 1. So, there LCM is their product i.e 717972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717972

Therefore, the GCF of Fractions 3767/893,5456/804 is 1/717972

Least Common Multiple of 893,804 with GCF Formula

Least Common Multiple of 893,804 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 893,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,804) = 1

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

GCF(893,804) x common factors =1 x 1 = 1

LCM(893,804) = ( 893 × 804 ) / 1

LCM(893,804) = 717972 / 1

LCM(893,804) = 717972


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 3767/893, 5456/804

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 3767/893, 5456/804?

Answer: GCF of Numerators as per given numbers 3767/893, 5456/804 is

GCF of Numerators i.e. for 3767,5456 is 1

LCM of denominators i.e. for 893,804 is 717972.

Thus, GCF of Fractions is 1/717972.Finally, GCF of Fractions for 3767/893, 5456/804 is 1/717972.