Greatest Common Factor of 3027/127, 3769/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3027/127, 3769/914

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 3027/127,3769/914

Given fractions are 3027/127,3769/914

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 3027,3769

Greatest Common Factor of Numerators i.e. GCF of 3027,3769 is 1 .

LCM of Denominators means LCM of 127,914 as per the given fractions.

LCM of 127,914 is 116078 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3027,3769

GCF of Fractions 3027/127,3769/914 is 1/116078

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

Greatest Common Factor of 3027,3769 By Matching Biggest Common Factor Method

Greatest Common Factor of 3027,3769 By Matching Biggest Common Factor Method

Factors of 3027

List of positive integer factors of 3027 that divides 3027 without a remainder.

1,3,1009,3027

Factors of 3769

List of positive integer factors of 3769 that divides 3769 without a remainder.

1,3769

Greatest Common Factor

We found the factors 3027,3769 . The biggest common factor number is the GCF number.
So the greatest common factor 3027,3769 is 1.

Lets's calculate LCM of 127,914

Given numbers has no common factors except 1. So, there LCM is their product i.e 116078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116078

Therefore, the GCF of Fractions 3027/127,3769/914 is 1/116078

Least Common Multiple of 127,914 with GCF Formula

Least Common Multiple of 127,914 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 127,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,914) = 1

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

GCF(127,914) x common factors =1 x 1 = 1

LCM(127,914) = ( 127 × 914 ) / 1

LCM(127,914) = 116078 / 1

LCM(127,914) = 116078


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 3027/127, 3769/914

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 3027/127, 3769/914?

Answer: GCF of Numerators as per given numbers 3027/127, 3769/914 is

GCF of Numerators i.e. for 3027,3769 is 1

LCM of denominators i.e. for 127,914 is 116078.

Thus, GCF of Fractions is 1/116078.Finally, GCF of Fractions for 3027/127, 3769/914 is 1/116078.