Greatest Common Factor of 8010/53, 1420/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8010/53, 1420/887

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 8010/53,1420/887

Given fractions are 8010/53,1420/887

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 8010,1420

Greatest Common Factor of Numerators i.e. GCF of 8010,1420 is 10 .

LCM of Denominators means LCM of 53,887 as per the given fractions.

LCM of 53,887 is 47011 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8010,1420

GCF of Fractions 8010/53,1420/887 is 10/47011

2 8010, 1420
5 4005, 710
801, 142

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8010,1420 By Matching Biggest Common Factor Method

Greatest Common Factor of 8010,1420 By Matching Biggest Common Factor Method

Factors of 8010

List of positive integer factors of 8010 that divides 8010 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1,2,4,5,10,20,71,142,284,355,710,1420

Greatest Common Factor

We found the factors 8010,1420 . The biggest common factor number is the GCF number.
So the greatest common factor 8010,1420 is 10.

Lets's calculate LCM of 53,887

Given numbers has no common factors except 1. So, there LCM is their product i.e 47011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/47011

Therefore, the GCF of Fractions 8010/53,1420/887 is 10/47011

Least Common Multiple of 53,887 with GCF Formula

Least Common Multiple of 53,887 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 53,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,887) = 1

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

GCF(53,887) x common factors =1 x 1 = 1

LCM(53,887) = ( 53 × 887 ) / 1

LCM(53,887) = 47011 / 1

LCM(53,887) = 47011


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 8010/53, 1420/887

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 8010/53, 1420/887?

Answer: GCF of Numerators as per given numbers 8010/53, 1420/887 is

GCF of Numerators i.e. for 8010,1420 is 10

LCM of denominators i.e. for 53,887 is 47011.

Thus, GCF of Fractions is 10/47011.Finally, GCF of Fractions for 8010/53, 1420/887 is 10/47011.