Greatest Common Factor of 704/624, 938/993, 798/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/624, 938/993, 798/184

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 704/624,938/993,798/184

Given fractions are 704/624,938/993,798/184

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 704,938,798

Greatest Common Factor of Numerators i.e. GCF of 704,938,798 is 2 .

LCM of Denominators means LCM of 624,993,184 as per the given fractions.

LCM of 624,993,184 is 4750512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,938,798

GCF of Fractions 704/624,938/993,798/184 is 2/4750512

2 704, 938, 798
352, 469, 399

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

Greatest Common Factor of 704,938,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,938,798 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 704,938,798 . The biggest common factor number is the GCF number.
So the greatest common factor 704,938,798 is 2.

Lets's calculate LCM of 624,993,184

2 624, 993, 184
2 312, 993, 92
2 156, 993, 46
3 78, 993, 23
26, 331, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 26 x 331 x 23 = 4750512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4750512

Therefore, the GCF of Fractions 704/624,938/993,798/184 is 2/4750512

Least Common Multiple of 624,993,184 with GCF Formula

Least Common Multiple of 624,993,184 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 624,993,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,993,184) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(624,993,184) x common factors =1 x 24 = 24

LCM(624,993,184) = ( 624 × 993 × 184 ) / 24

LCM(624,993,184) = 114012288 / 24

LCM(624,993,184) = 4750512


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 704/624, 938/993, 798/184

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 704/624, 938/993, 798/184?

Answer: GCF of Numerators as per given numbers 704/624, 938/993, 798/184 is

GCF of Numerators i.e. for 704,938,798 is 2

LCM of denominators i.e. for 624,993,184 is 4750512.

Thus, GCF of Fractions is 2/4750512.Finally, GCF of Fractions for 704/624, 938/993, 798/184 is 2/4750512.