Greatest Common Factor of 1778/14, 5478/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1778/14, 5478/498

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 1778/14,5478/498

Given fractions are 1778/14,5478/498

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 1778,5478

Greatest Common Factor of Numerators i.e. GCF of 1778,5478 is 2 .

LCM of Denominators means LCM of 14,498 as per the given fractions.

LCM of 14,498 is 3486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1778,5478

GCF of Fractions 1778/14,5478/498 is 2/3486

2 1778, 5478
889, 2739

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1778,5478 By Matching Biggest Common Factor Method

Greatest Common Factor of 1778,5478 By Matching Biggest Common Factor Method

Factors of 1778

List of positive integer factors of 1778 that divides 1778 without a remainder.

1,2,7,14,127,254,889,1778

Factors of 5478

List of positive integer factors of 5478 that divides 5478 without a remainder.

1,2,3,6,11,22,33,66,83,166,249,498,913,1826,2739,5478

Greatest Common Factor

We found the factors 1778,5478 . The biggest common factor number is the GCF number.
So the greatest common factor 1778,5478 is 2.

Lets's calculate LCM of 14,498

2 14, 498
7, 249

∴ So the LCM of the given numbers is 2 x 7 x 249 = 3486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3486

Therefore, the GCF of Fractions 1778/14,5478/498 is 2/3486

Least Common Multiple of 14,498 with GCF Formula

Least Common Multiple of 14,498 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 14,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,498) = 2

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

GCF(14,498) x common factors =2 x 1 = 2

LCM(14,498) = ( 14 × 498 ) / 2

LCM(14,498) = 6972 / 2

LCM(14,498) = 3486


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 1778/14, 5478/498

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 1778/14, 5478/498?

Answer: GCF of Numerators as per given numbers 1778/14, 5478/498 is

GCF of Numerators i.e. for 1778,5478 is 2

LCM of denominators i.e. for 14,498 is 3486.

Thus, GCF of Fractions is 2/3486.Finally, GCF of Fractions for 1778/14, 5478/498 is 2/3486.