Greatest Common Factor of 9/40, 34/77, 86/288, 403/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/40, 34/77, 86/288, 403/960

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 9/40,34/77,86/288,403/960

Given fractions are 9/40,34/77,86/288,403/960

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 9,34,86,403

Greatest Common Factor of Numerators i.e. GCF of 9,34,86,403 is 1 .

LCM of Denominators means LCM of 40,77,288,960 as per the given fractions.

LCM of 40,77,288,960 is 221760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,34,86,403

GCF of Fractions 9/40,34/77,86/288,403/960 is 1/221760

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

Greatest Common Factor of 9,34,86,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,34,86,403 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 9,34,86,403 . The biggest common factor number is the GCF number.
So the greatest common factor 9,34,86,403 is 1.

Lets's calculate LCM of 40,77,288,960

2 40, 77, 288, 960
2 20, 77, 144, 480
2 10, 77, 72, 240
2 5, 77, 36, 120
2 5, 77, 18, 60
3 5, 77, 9, 30
5 5, 77, 3, 10
1, 77, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 77 x 3 x 2 = 221760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221760

Therefore, the GCF of Fractions 9/40,34/77,86/288,403/960 is 1/221760

Least Common Multiple of 40,77,288,960 with GCF Formula

Least Common Multiple of 40,77,288,960 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 40,77,288,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,77,288,960) = 1

common factors(in case of two or more numbers have common factors) = 3840

GCF(40,77,288,960) x common factors =1 x 3840 = 3840

LCM(40,77,288,960) = ( 40 × 77 × 288 × 960 ) / 3840

LCM(40,77,288,960) = 851558400 / 3840

LCM(40,77,288,960) = 221760


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 9/40, 34/77, 86/288, 403/960

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 9/40, 34/77, 86/288, 403/960?

Answer: GCF of Numerators as per given numbers 9/40, 34/77, 86/288, 403/960 is

GCF of Numerators i.e. for 9,34,86,403 is 1

LCM of denominators i.e. for 40,77,288,960 is 221760.

Thus, GCF of Fractions is 1/221760.Finally, GCF of Fractions for 9/40, 34/77, 86/288, 403/960 is 1/221760.