Greatest Common Factor of 9/72, 65/12, 88/820, 706/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/72, 65/12, 88/820, 706/832

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 9/72,65/12,88/820,706/832

Given fractions are 9/72,65/12,88/820,706/832

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 9,65,88,706

Greatest Common Factor of Numerators i.e. GCF of 9,65,88,706 is 1 .

LCM of Denominators means LCM of 72,12,820,832 as per the given fractions.

LCM of 72,12,820,832 is 1535040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,65,88,706

GCF of Fractions 9/72,65/12,88/820,706/832 is 1/1535040

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

Greatest Common Factor of 9,65,88,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,65,88,706 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 9,65,88,706 . The biggest common factor number is the GCF number.
So the greatest common factor 9,65,88,706 is 1.

Lets's calculate LCM of 72,12,820,832

2 72, 12, 820, 832
2 36, 6, 410, 416
2 18, 3, 205, 208
3 9, 3, 205, 104
1, 3, 205, 104

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 3 x 205 x 104 = 1535040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1535040

Therefore, the GCF of Fractions 9/72,65/12,88/820,706/832 is 1/1535040

Least Common Multiple of 72,12,820,832 with GCF Formula

Least Common Multiple of 72,12,820,832 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 72,12,820,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,12,820,832) = 4

common factors(in case of two or more numbers have common factors) = 96

GCF(72,12,820,832) x common factors =4 x 96 = 384

LCM(72,12,820,832) = ( 72 × 12 × 820 × 832 ) / 384

LCM(72,12,820,832) = 589455360 / 384

LCM(72,12,820,832) = 1535040


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 9/72, 65/12, 88/820, 706/832

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 9/72, 65/12, 88/820, 706/832?

Answer: GCF of Numerators as per given numbers 9/72, 65/12, 88/820, 706/832 is

GCF of Numerators i.e. for 9,65,88,706 is 1

LCM of denominators i.e. for 72,12,820,832 is 1535040.

Thus, GCF of Fractions is 1/1535040.Finally, GCF of Fractions for 9/72, 65/12, 88/820, 706/832 is 1/1535040.