Greatest Common Factor of 5045/174, 5166/1987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5045/174, 5166/1987

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 5045/174,5166/1987

Given fractions are 5045/174,5166/1987

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 5045,5166

Greatest Common Factor of Numerators i.e. GCF of 5045,5166 is 1 .

LCM of Denominators means LCM of 174,1987 as per the given fractions.

LCM of 174,1987 is 345738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5045,5166

GCF of Fractions 5045/174,5166/1987 is 1/345738

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

Greatest Common Factor of 5045,5166 By Matching Biggest Common Factor Method

Greatest Common Factor of 5045,5166 By Matching Biggest Common Factor Method

Factors of 5045

List of positive integer factors of 5045 that divides 5045 without a remainder.

1,5,1009,5045

Factors of 5166

List of positive integer factors of 5166 that divides 5166 without a remainder.

1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166

Greatest Common Factor

We found the factors 5045,5166 . The biggest common factor number is the GCF number.
So the greatest common factor 5045,5166 is 1.

Lets's calculate LCM of 174,1987

Given numbers has no common factors except 1. So, there LCM is their product i.e 345738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345738

Therefore, the GCF of Fractions 5045/174,5166/1987 is 1/345738

Least Common Multiple of 174,1987 with GCF Formula

Least Common Multiple of 174,1987 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 174,1987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,1987) = 1

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

GCF(174,1987) x common factors =1 x 1 = 1

LCM(174,1987) = ( 174 × 1987 ) / 1

LCM(174,1987) = 345738 / 1

LCM(174,1987) = 345738


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 5045/174, 5166/1987

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 5045/174, 5166/1987?

Answer: GCF of Numerators as per given numbers 5045/174, 5166/1987 is

GCF of Numerators i.e. for 5045,5166 is 1

LCM of denominators i.e. for 174,1987 is 345738.

Thus, GCF of Fractions is 1/345738.Finally, GCF of Fractions for 5045/174, 5166/1987 is 1/345738.