Greatest Common Factor of 4211/690, 7825/4076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4211/690, 7825/4076

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 4211/690,7825/4076

Given fractions are 4211/690,7825/4076

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 4211,7825

Greatest Common Factor of Numerators i.e. GCF of 4211,7825 is 1 .

LCM of Denominators means LCM of 690,4076 as per the given fractions.

LCM of 690,4076 is 1406220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4211,7825

GCF of Fractions 4211/690,7825/4076 is 1/1406220

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

Greatest Common Factor of 4211,7825 By Matching Biggest Common Factor Method

Greatest Common Factor of 4211,7825 By Matching Biggest Common Factor Method

Factors of 4211

List of positive integer factors of 4211 that divides 4211 without a remainder.

1,4211

Factors of 7825

List of positive integer factors of 7825 that divides 7825 without a remainder.

1,5,25,313,1565,7825

Greatest Common Factor

We found the factors 4211,7825 . The biggest common factor number is the GCF number.
So the greatest common factor 4211,7825 is 1.

Lets's calculate LCM of 690,4076

2 690, 4076
345, 2038

∴ So the LCM of the given numbers is 2 x 345 x 2038 = 1406220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1406220

Therefore, the GCF of Fractions 4211/690,7825/4076 is 1/1406220

Least Common Multiple of 690,4076 with GCF Formula

Least Common Multiple of 690,4076 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 690,4076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,4076) = 2

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

GCF(690,4076) x common factors =2 x 1 = 2

LCM(690,4076) = ( 690 × 4076 ) / 2

LCM(690,4076) = 2812440 / 2

LCM(690,4076) = 1406220


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 4211/690, 7825/4076

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 4211/690, 7825/4076?

Answer: GCF of Numerators as per given numbers 4211/690, 7825/4076 is

GCF of Numerators i.e. for 4211,7825 is 1

LCM of denominators i.e. for 690,4076 is 1406220.

Thus, GCF of Fractions is 1/1406220.Finally, GCF of Fractions for 4211/690, 7825/4076 is 1/1406220.