Greatest Common Factor of 1778/13, 1680/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1778/13, 1680/379

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 1778/13,1680/379

Given fractions are 1778/13,1680/379

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 1778,1680

Greatest Common Factor of Numerators i.e. GCF of 1778,1680 is 14 .

LCM of Denominators means LCM of 13,379 as per the given fractions.

LCM of 13,379 is 4927 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1778,1680

GCF of Fractions 1778/13,1680/379 is 14/4927

2 1778, 1680
7 889, 840
127, 120

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 1778,1680 By Matching Biggest Common Factor Method

Greatest Common Factor of 1778,1680 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 1680

List of positive integer factors of 1680 that divides 1680 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,35,40,42,48,56,60,70,80,84,105,112,120,140,168,210,240,280,336,420,560,840,1680

Greatest Common Factor

We found the factors 1778,1680 . The biggest common factor number is the GCF number.
So the greatest common factor 1778,1680 is 14.

Lets's calculate LCM of 13,379

Given numbers has no common factors except 1. So, there LCM is their product i.e 4927

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/4927

Therefore, the GCF of Fractions 1778/13,1680/379 is 14/4927

Least Common Multiple of 13,379 with GCF Formula

Least Common Multiple of 13,379 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 13,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,379) = 1

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

GCF(13,379) x common factors =1 x 1 = 1

LCM(13,379) = ( 13 × 379 ) / 1

LCM(13,379) = 4927 / 1

LCM(13,379) = 4927


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 1778/13, 1680/379

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 1778/13, 1680/379?

Answer: GCF of Numerators as per given numbers 1778/13, 1680/379 is

GCF of Numerators i.e. for 1778,1680 is 14

LCM of denominators i.e. for 13,379 is 4927.

Thus, GCF of Fractions is 14/4927.Finally, GCF of Fractions for 1778/13, 1680/379 is 14/4927.