Greatest Common Factor of 624/17, 972/48, 440/83

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 624/17, 972/48, 440/83

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 624/17,972/48,440/83

Given fractions are 624/17,972/48,440/83

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 624,972,440

Greatest Common Factor of Numerators i.e. GCF of 624,972,440 is 4 .

LCM of Denominators means LCM of 17,48,83 as per the given fractions.

LCM of 17,48,83 is 67728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 624,972,440

GCF of Fractions 624/17,972/48,440/83 is 4/67728

2 624, 972, 440
2 312, 486, 220
156, 243, 110

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

Greatest Common Factor of 624,972,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,972,440 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 624,972,440 . The biggest common factor number is the GCF number.
So the greatest common factor 624,972,440 is 4.

Lets's calculate LCM of 17,48,83

Given numbers has no common factors except 1. So, there LCM is their product i.e 67728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/67728

Therefore, the GCF of Fractions 624/17,972/48,440/83 is 4/67728

Least Common Multiple of 17,48,83 with GCF Formula

Least Common Multiple of 17,48,83 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 17,48,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,48,83) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,48,83) x common factors =1 x 1 = 1

LCM(17,48,83) = ( 17 × 48 × 83 ) / 1

LCM(17,48,83) = 67728 / 1

LCM(17,48,83) = 67728


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 624/17, 972/48, 440/83

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 624/17, 972/48, 440/83?

Answer: GCF of Numerators as per given numbers 624/17, 972/48, 440/83 is

GCF of Numerators i.e. for 624,972,440 is 4

LCM of denominators i.e. for 17,48,83 is 67728.

Thus, GCF of Fractions is 4/67728.Finally, GCF of Fractions for 624/17, 972/48, 440/83 is 4/67728.