Greatest Common Factor of 177/30, 726/62, 822/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 177/30, 726/62, 822/461

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 177/30,726/62,822/461

Given fractions are 177/30,726/62,822/461

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 177,726,822

Greatest Common Factor of Numerators i.e. GCF of 177,726,822 is 3 .

LCM of Denominators means LCM of 30,62,461 as per the given fractions.

LCM of 30,62,461 is 428730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 177,726,822

GCF of Fractions 177/30,726/62,822/461 is 3/428730

3 177, 726, 822
59, 242, 274

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 177,726,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,726,822 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 177,726,822 . The biggest common factor number is the GCF number.
So the greatest common factor 177,726,822 is 3.

Lets's calculate LCM of 30,62,461

2 30, 62, 461
15, 31, 461

∴ So the LCM of the given numbers is 2 x 15 x 31 x 461 = 428730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/428730

Therefore, the GCF of Fractions 177/30,726/62,822/461 is 3/428730

Least Common Multiple of 30,62,461 with GCF Formula

Least Common Multiple of 30,62,461 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 30,62,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,62,461) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(30,62,461) x common factors =1 x 2 = 2

LCM(30,62,461) = ( 30 × 62 × 461 ) / 2

LCM(30,62,461) = 857460 / 2

LCM(30,62,461) = 428730


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 177/30, 726/62, 822/461

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 177/30, 726/62, 822/461?

Answer: GCF of Numerators as per given numbers 177/30, 726/62, 822/461 is

GCF of Numerators i.e. for 177,726,822 is 3

LCM of denominators i.e. for 30,62,461 is 428730.

Thus, GCF of Fractions is 3/428730.Finally, GCF of Fractions for 177/30, 726/62, 822/461 is 3/428730.