Greatest Common Factor of 2835/304, 7771/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2835/304, 7771/622

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 2835/304,7771/622

Given fractions are 2835/304,7771/622

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 2835,7771

Greatest Common Factor of Numerators i.e. GCF of 2835,7771 is 1 .

LCM of Denominators means LCM of 304,622 as per the given fractions.

LCM of 304,622 is 94544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2835,7771

GCF of Fractions 2835/304,7771/622 is 1/94544

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

Greatest Common Factor of 2835,7771 By Matching Biggest Common Factor Method

Greatest Common Factor of 2835,7771 By Matching Biggest Common Factor Method

Factors of 2835

List of positive integer factors of 2835 that divides 2835 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835

Factors of 7771

List of positive integer factors of 7771 that divides 7771 without a remainder.

1,19,409,7771

Greatest Common Factor

We found the factors 2835,7771 . The biggest common factor number is the GCF number.
So the greatest common factor 2835,7771 is 1.

Lets's calculate LCM of 304,622

2 304, 622
152, 311

∴ So the LCM of the given numbers is 2 x 152 x 311 = 94544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94544

Therefore, the GCF of Fractions 2835/304,7771/622 is 1/94544

Least Common Multiple of 304,622 with GCF Formula

Least Common Multiple of 304,622 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 304,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,622) = 2

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

GCF(304,622) x common factors =2 x 1 = 2

LCM(304,622) = ( 304 × 622 ) / 2

LCM(304,622) = 189088 / 2

LCM(304,622) = 94544


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 2835/304, 7771/622

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 2835/304, 7771/622?

Answer: GCF of Numerators as per given numbers 2835/304, 7771/622 is

GCF of Numerators i.e. for 2835,7771 is 1

LCM of denominators i.e. for 304,622 is 94544.

Thus, GCF of Fractions is 1/94544.Finally, GCF of Fractions for 2835/304, 7771/622 is 1/94544.