Greatest Common Factor of 4205/206, 7765/4949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4205/206, 7765/4949

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 4205/206,7765/4949

Given fractions are 4205/206,7765/4949

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 4205,7765

Greatest Common Factor of Numerators i.e. GCF of 4205,7765 is 5 .

LCM of Denominators means LCM of 206,4949 as per the given fractions.

LCM of 206,4949 is 1019494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4205,7765

GCF of Fractions 4205/206,7765/4949 is 5/1019494

5 4205, 7765
841, 1553

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4205,7765 By Matching Biggest Common Factor Method

Greatest Common Factor of 4205,7765 By Matching Biggest Common Factor Method

Factors of 4205

List of positive integer factors of 4205 that divides 4205 without a remainder.

1,5,29,145,841,4205

Factors of 7765

List of positive integer factors of 7765 that divides 7765 without a remainder.

1,5,1553,7765

Greatest Common Factor

We found the factors 4205,7765 . The biggest common factor number is the GCF number.
So the greatest common factor 4205,7765 is 5.

Lets's calculate LCM of 206,4949

Given numbers has no common factors except 1. So, there LCM is their product i.e 1019494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1019494

Therefore, the GCF of Fractions 4205/206,7765/4949 is 5/1019494

Least Common Multiple of 206,4949 with GCF Formula

Least Common Multiple of 206,4949 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 206,4949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,4949) = 1

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

GCF(206,4949) x common factors =1 x 1 = 1

LCM(206,4949) = ( 206 × 4949 ) / 1

LCM(206,4949) = 1019494 / 1

LCM(206,4949) = 1019494


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 4205/206, 7765/4949

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 4205/206, 7765/4949?

Answer: GCF of Numerators as per given numbers 4205/206, 7765/4949 is

GCF of Numerators i.e. for 4205,7765 is 5

LCM of denominators i.e. for 206,4949 is 1019494.

Thus, GCF of Fractions is 5/1019494.Finally, GCF of Fractions for 4205/206, 7765/4949 is 5/1019494.