Greatest Common Factor of 464/820, 656/126, 772/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 464/820, 656/126, 772/462

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 464/820,656/126,772/462

Given fractions are 464/820,656/126,772/462

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 464,656,772

Greatest Common Factor of Numerators i.e. GCF of 464,656,772 is 4 .

LCM of Denominators means LCM of 820,126,462 as per the given fractions.

LCM of 820,126,462 is 568260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 464,656,772

GCF of Fractions 464/820,656/126,772/462 is 4/568260

2 464, 656, 772
2 232, 328, 386
116, 164, 193

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 464,656,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,656,772 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 464,656,772 . The biggest common factor number is the GCF number.
So the greatest common factor 464,656,772 is 4.

Lets's calculate LCM of 820,126,462

2 820, 126, 462
3 410, 63, 231
7 410, 21, 77
410, 3, 11

∴ So the LCM of the given numbers is 2 x 3 x 7 x 410 x 3 x 11 = 568260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/568260

Therefore, the GCF of Fractions 464/820,656/126,772/462 is 4/568260

Least Common Multiple of 820,126,462 with GCF Formula

Least Common Multiple of 820,126,462 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 820,126,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,126,462) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(820,126,462) x common factors =2 x 42 = 84

LCM(820,126,462) = ( 820 × 126 × 462 ) / 84

LCM(820,126,462) = 47733840 / 84

LCM(820,126,462) = 568260


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 464/820, 656/126, 772/462

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 464/820, 656/126, 772/462?

Answer: GCF of Numerators as per given numbers 464/820, 656/126, 772/462 is

GCF of Numerators i.e. for 464,656,772 is 4

LCM of denominators i.e. for 820,126,462 is 568260.

Thus, GCF of Fractions is 4/568260.Finally, GCF of Fractions for 464/820, 656/126, 772/462 is 4/568260.