Greatest Common Factor of 23/40, 78/34, 61/39, 700/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/40, 78/34, 61/39, 700/54

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 23/40,78/34,61/39,700/54

Given fractions are 23/40,78/34,61/39,700/54

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 23,78,61,700

Greatest Common Factor of Numerators i.e. GCF of 23,78,61,700 is 1 .

LCM of Denominators means LCM of 40,34,39,54 as per the given fractions.

LCM of 40,34,39,54 is 238680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,78,61,700

GCF of Fractions 23/40,78/34,61/39,700/54 is 1/238680

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

Greatest Common Factor of 23,78,61,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,78,61,700 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 23,78,61,700 . The biggest common factor number is the GCF number.
So the greatest common factor 23,78,61,700 is 1.

Lets's calculate LCM of 40,34,39,54

2 40, 34, 39, 54
3 20, 17, 39, 27
20, 17, 13, 9

∴ So the LCM of the given numbers is 2 x 3 x 20 x 17 x 13 x 9 = 238680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238680

Therefore, the GCF of Fractions 23/40,78/34,61/39,700/54 is 1/238680

Least Common Multiple of 40,34,39,54 with GCF Formula

Least Common Multiple of 40,34,39,54 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 40,34,39,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,34,39,54) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(40,34,39,54) x common factors =1 x 12 = 12

LCM(40,34,39,54) = ( 40 × 34 × 39 × 54 ) / 12

LCM(40,34,39,54) = 2864160 / 12

LCM(40,34,39,54) = 238680


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 23/40, 78/34, 61/39, 700/54

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 23/40, 78/34, 61/39, 700/54?

Answer: GCF of Numerators as per given numbers 23/40, 78/34, 61/39, 700/54 is

GCF of Numerators i.e. for 23,78,61,700 is 1

LCM of denominators i.e. for 40,34,39,54 is 238680.

Thus, GCF of Fractions is 1/238680.Finally, GCF of Fractions for 23/40, 78/34, 61/39, 700/54 is 1/238680.