Greatest Common Factor of 1469/36, 7751/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1469/36, 7751/778

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 1469/36,7751/778

Given fractions are 1469/36,7751/778

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 1469,7751

Greatest Common Factor of Numerators i.e. GCF of 1469,7751 is 1 .

LCM of Denominators means LCM of 36,778 as per the given fractions.

LCM of 36,778 is 14004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1469,7751

GCF of Fractions 1469/36,7751/778 is 1/14004

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

Greatest Common Factor of 1469,7751 By Matching Biggest Common Factor Method

Greatest Common Factor of 1469,7751 By Matching Biggest Common Factor Method

Factors of 1469

List of positive integer factors of 1469 that divides 1469 without a remainder.

1,13,113,1469

Factors of 7751

List of positive integer factors of 7751 that divides 7751 without a remainder.

1,23,337,7751

Greatest Common Factor

We found the factors 1469,7751 . The biggest common factor number is the GCF number.
So the greatest common factor 1469,7751 is 1.

Lets's calculate LCM of 36,778

2 36, 778
18, 389

∴ So the LCM of the given numbers is 2 x 18 x 389 = 14004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14004

Therefore, the GCF of Fractions 1469/36,7751/778 is 1/14004

Least Common Multiple of 36,778 with GCF Formula

Least Common Multiple of 36,778 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 36,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,778) = 2

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

GCF(36,778) x common factors =2 x 1 = 2

LCM(36,778) = ( 36 × 778 ) / 2

LCM(36,778) = 28008 / 2

LCM(36,778) = 14004


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 1469/36, 7751/778

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 1469/36, 7751/778?

Answer: GCF of Numerators as per given numbers 1469/36, 7751/778 is

GCF of Numerators i.e. for 1469,7751 is 1

LCM of denominators i.e. for 36,778 is 14004.

Thus, GCF of Fractions is 1/14004.Finally, GCF of Fractions for 1469/36, 7751/778 is 1/14004.