Greatest Common Factor of 74/99, 202/45, 776/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/99, 202/45, 776/823

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 74/99,202/45,776/823

Given fractions are 74/99,202/45,776/823

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 74,202,776

Greatest Common Factor of Numerators i.e. GCF of 74,202,776 is 2 .

LCM of Denominators means LCM of 99,45,823 as per the given fractions.

LCM of 99,45,823 is 407385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,202,776

GCF of Fractions 74/99,202/45,776/823 is 2/407385

2 74, 202, 776
37, 101, 388

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 74,202,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,202,776 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 74,202,776 . The biggest common factor number is the GCF number.
So the greatest common factor 74,202,776 is 2.

Lets's calculate LCM of 99,45,823

3 99, 45, 823
3 33, 15, 823
11, 5, 823

∴ So the LCM of the given numbers is 3 x 3 x 11 x 5 x 823 = 407385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/407385

Therefore, the GCF of Fractions 74/99,202/45,776/823 is 2/407385

Least Common Multiple of 99,45,823 with GCF Formula

Least Common Multiple of 99,45,823 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 99,45,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,45,823) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(99,45,823) x common factors =1 x 9 = 9

LCM(99,45,823) = ( 99 × 45 × 823 ) / 9

LCM(99,45,823) = 3666465 / 9

LCM(99,45,823) = 407385


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 74/99, 202/45, 776/823

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 74/99, 202/45, 776/823?

Answer: GCF of Numerators as per given numbers 74/99, 202/45, 776/823 is

GCF of Numerators i.e. for 74,202,776 is 2

LCM of denominators i.e. for 99,45,823 is 407385.

Thus, GCF of Fractions is 2/407385.Finally, GCF of Fractions for 74/99, 202/45, 776/823 is 2/407385.