Greatest Common Factor of 490/89, 4207/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/89, 4207/809

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 490/89,4207/809

Given fractions are 490/89,4207/809

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 490,4207

Greatest Common Factor of Numerators i.e. GCF of 490,4207 is 7 .

LCM of Denominators means LCM of 89,809 as per the given fractions.

LCM of 89,809 is 72001 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,4207

GCF of Fractions 490/89,4207/809 is 7/72001

7 490, 4207
70, 601

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 490,4207 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,4207 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 4207

List of positive integer factors of 4207 that divides 4207 without a remainder.

1,7,601,4207

Greatest Common Factor

We found the factors 490,4207 . The biggest common factor number is the GCF number.
So the greatest common factor 490,4207 is 7.

Lets's calculate LCM of 89,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 72001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/72001

Therefore, the GCF of Fractions 490/89,4207/809 is 7/72001

Least Common Multiple of 89,809 with GCF Formula

Least Common Multiple of 89,809 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 89,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,809) = 1

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

GCF(89,809) x common factors =1 x 1 = 1

LCM(89,809) = ( 89 × 809 ) / 1

LCM(89,809) = 72001 / 1

LCM(89,809) = 72001


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 490/89, 4207/809

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 490/89, 4207/809?

Answer: GCF of Numerators as per given numbers 490/89, 4207/809 is

GCF of Numerators i.e. for 490,4207 is 7

LCM of denominators i.e. for 89,809 is 72001.

Thus, GCF of Fractions is 7/72001.Finally, GCF of Fractions for 490/89, 4207/809 is 7/72001.