Greatest Common Factor of 420/822, 3203/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/822, 3203/737

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 420/822,3203/737

Given fractions are 420/822,3203/737

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 420,3203

Greatest Common Factor of Numerators i.e. GCF of 420,3203 is 1 .

LCM of Denominators means LCM of 822,737 as per the given fractions.

LCM of 822,737 is 605814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,3203

GCF of Fractions 420/822,3203/737 is 1/605814

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

Greatest Common Factor of 420,3203 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,3203 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 3203

List of positive integer factors of 3203 that divides 3203 without a remainder.

1,3203

Greatest Common Factor

We found the factors 420,3203 . The biggest common factor number is the GCF number.
So the greatest common factor 420,3203 is 1.

Lets's calculate LCM of 822,737

Given numbers has no common factors except 1. So, there LCM is their product i.e 605814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/605814

Therefore, the GCF of Fractions 420/822,3203/737 is 1/605814

Least Common Multiple of 822,737 with GCF Formula

Least Common Multiple of 822,737 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 822,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,737) = 1

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

GCF(822,737) x common factors =1 x 1 = 1

LCM(822,737) = ( 822 × 737 ) / 1

LCM(822,737) = 605814 / 1

LCM(822,737) = 605814


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 420/822, 3203/737

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 420/822, 3203/737?

Answer: GCF of Numerators as per given numbers 420/822, 3203/737 is

GCF of Numerators i.e. for 420,3203 is 1

LCM of denominators i.e. for 822,737 is 605814.

Thus, GCF of Fractions is 1/605814.Finally, GCF of Fractions for 420/822, 3203/737 is 1/605814.