Greatest Common Factor of 1767/56, 1798/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1767/56, 1798/883

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 1767/56,1798/883

Given fractions are 1767/56,1798/883

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 1767,1798

Greatest Common Factor of Numerators i.e. GCF of 1767,1798 is 31 .

LCM of Denominators means LCM of 56,883 as per the given fractions.

LCM of 56,883 is 49448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1767,1798

GCF of Fractions 1767/56,1798/883 is 31/49448

31 1767, 1798
57, 58

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 1767,1798 By Matching Biggest Common Factor Method

Greatest Common Factor of 1767,1798 By Matching Biggest Common Factor Method

Factors of 1767

List of positive integer factors of 1767 that divides 1767 without a remainder.

1,3,19,31,57,93,589,1767

Factors of 1798

List of positive integer factors of 1798 that divides 1798 without a remainder.

1,2,29,31,58,62,899,1798

Greatest Common Factor

We found the factors 1767,1798 . The biggest common factor number is the GCF number.
So the greatest common factor 1767,1798 is 31.

Lets's calculate LCM of 56,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 49448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/49448

Therefore, the GCF of Fractions 1767/56,1798/883 is 31/49448

Least Common Multiple of 56,883 with GCF Formula

Least Common Multiple of 56,883 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 56,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,883) = 1

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

GCF(56,883) x common factors =1 x 1 = 1

LCM(56,883) = ( 56 × 883 ) / 1

LCM(56,883) = 49448 / 1

LCM(56,883) = 49448


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 1767/56, 1798/883

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 1767/56, 1798/883?

Answer: GCF of Numerators as per given numbers 1767/56, 1798/883 is

GCF of Numerators i.e. for 1767,1798 is 31

LCM of denominators i.e. for 56,883 is 49448.

Thus, GCF of Fractions is 31/49448.Finally, GCF of Fractions for 1767/56, 1798/883 is 31/49448.