Greatest Common Factor of 954/228, 306/771, 630/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 954/228, 306/771, 630/207

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 954/228,306/771,630/207

Given fractions are 954/228,306/771,630/207

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 954,306,630

Greatest Common Factor of Numerators i.e. GCF of 954,306,630 is 18 .

LCM of Denominators means LCM of 228,771,207 as per the given fractions.

LCM of 228,771,207 is 4043124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 954,306,630

GCF of Fractions 954/228,306/771,630/207 is 18/4043124

2 954, 306, 630
3 477, 153, 315
3 159, 51, 105
53, 17, 35

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 954,306,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,306,630 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 954,306,630 . The biggest common factor number is the GCF number.
So the greatest common factor 954,306,630 is 18.

Lets's calculate LCM of 228,771,207

3 228, 771, 207
76, 257, 69

∴ So the LCM of the given numbers is 3 x 76 x 257 x 69 = 4043124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/4043124

Therefore, the GCF of Fractions 954/228,306/771,630/207 is 18/4043124

Least Common Multiple of 228,771,207 with GCF Formula

Least Common Multiple of 228,771,207 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 228,771,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,771,207) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(228,771,207) x common factors =3 x 3 = 9

LCM(228,771,207) = ( 228 × 771 × 207 ) / 9

LCM(228,771,207) = 36388116 / 9

LCM(228,771,207) = 4043124


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 954/228, 306/771, 630/207

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 954/228, 306/771, 630/207?

Answer: GCF of Numerators as per given numbers 954/228, 306/771, 630/207 is

GCF of Numerators i.e. for 954,306,630 is 18

LCM of denominators i.e. for 228,771,207 is 4043124.

Thus, GCF of Fractions is 18/4043124.Finally, GCF of Fractions for 954/228, 306/771, 630/207 is 18/4043124.