Greatest Common Factor of 55/71, 424/22, 600/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/71, 424/22, 600/807

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 55/71,424/22,600/807

Given fractions are 55/71,424/22,600/807

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 55,424,600

Greatest Common Factor of Numerators i.e. GCF of 55,424,600 is 1 .

LCM of Denominators means LCM of 71,22,807 as per the given fractions.

LCM of 71,22,807 is 1260534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,424,600

GCF of Fractions 55/71,424/22,600/807 is 1/1260534

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

Greatest Common Factor of 55,424,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,424,600 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 55,424,600 . The biggest common factor number is the GCF number.
So the greatest common factor 55,424,600 is 1.

Lets's calculate LCM of 71,22,807

Given numbers has no common factors except 1. So, there LCM is their product i.e 1260534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1260534

Therefore, the GCF of Fractions 55/71,424/22,600/807 is 1/1260534

Least Common Multiple of 71,22,807 with GCF Formula

Least Common Multiple of 71,22,807 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 71,22,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,22,807) = 1

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

GCF(71,22,807) x common factors =1 x 1 = 1

LCM(71,22,807) = ( 71 × 22 × 807 ) / 1

LCM(71,22,807) = 1260534 / 1

LCM(71,22,807) = 1260534


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 55/71, 424/22, 600/807

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 55/71, 424/22, 600/807?

Answer: GCF of Numerators as per given numbers 55/71, 424/22, 600/807 is

GCF of Numerators i.e. for 55,424,600 is 1

LCM of denominators i.e. for 71,22,807 is 1260534.

Thus, GCF of Fractions is 1/1260534.Finally, GCF of Fractions for 55/71, 424/22, 600/807 is 1/1260534.