Greatest Common Factor of 3770/60, 5798/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3770/60, 5798/827

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 3770/60,5798/827

Given fractions are 3770/60,5798/827

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 3770,5798

Greatest Common Factor of Numerators i.e. GCF of 3770,5798 is 26 .

LCM of Denominators means LCM of 60,827 as per the given fractions.

LCM of 60,827 is 49620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3770,5798

GCF of Fractions 3770/60,5798/827 is 26/49620

2 3770, 5798
13 1885, 2899
145, 223

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 3770,5798 By Matching Biggest Common Factor Method

Greatest Common Factor of 3770,5798 By Matching Biggest Common Factor Method

Factors of 3770

List of positive integer factors of 3770 that divides 3770 without a remainder.

1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770

Factors of 5798

List of positive integer factors of 5798 that divides 5798 without a remainder.

1,2,13,26,223,446,2899,5798

Greatest Common Factor

We found the factors 3770,5798 . The biggest common factor number is the GCF number.
So the greatest common factor 3770,5798 is 26.

Lets's calculate LCM of 60,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 49620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/49620

Therefore, the GCF of Fractions 3770/60,5798/827 is 26/49620

Least Common Multiple of 60,827 with GCF Formula

Least Common Multiple of 60,827 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 60,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,827) = 1

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

GCF(60,827) x common factors =1 x 1 = 1

LCM(60,827) = ( 60 × 827 ) / 1

LCM(60,827) = 49620 / 1

LCM(60,827) = 49620


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 3770/60, 5798/827

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 3770/60, 5798/827?

Answer: GCF of Numerators as per given numbers 3770/60, 5798/827 is

GCF of Numerators i.e. for 3770,5798 is 26

LCM of denominators i.e. for 60,827 is 49620.

Thus, GCF of Fractions is 26/49620.Finally, GCF of Fractions for 3770/60, 5798/827 is 26/49620.