Greatest Common Factor of 592/428, 1218/1914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 592/428, 1218/1914

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 592/428,1218/1914

Given fractions are 592/428,1218/1914

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 592,1218

Greatest Common Factor of Numerators i.e. GCF of 592,1218 is 2 .

LCM of Denominators means LCM of 428,1914 as per the given fractions.

LCM of 428,1914 is 409596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 592,1218

GCF of Fractions 592/428,1218/1914 is 2/409596

2 592, 1218
296, 609

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

Greatest Common Factor of 592,1218 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,1218 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218

Greatest Common Factor

We found the factors 592,1218 . The biggest common factor number is the GCF number.
So the greatest common factor 592,1218 is 2.

Lets's calculate LCM of 428,1914

2 428, 1914
214, 957

∴ So the LCM of the given numbers is 2 x 214 x 957 = 409596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/409596

Therefore, the GCF of Fractions 592/428,1218/1914 is 2/409596

Least Common Multiple of 428,1914 with GCF Formula

Least Common Multiple of 428,1914 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 428,1914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,1914) = 2

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

GCF(428,1914) x common factors =2 x 1 = 2

LCM(428,1914) = ( 428 × 1914 ) / 2

LCM(428,1914) = 819192 / 2

LCM(428,1914) = 409596


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 592/428, 1218/1914

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 592/428, 1218/1914?

Answer: GCF of Numerators as per given numbers 592/428, 1218/1914 is

GCF of Numerators i.e. for 592,1218 is 2

LCM of denominators i.e. for 428,1914 is 409596.

Thus, GCF of Fractions is 2/409596.Finally, GCF of Fractions for 592/428, 1218/1914 is 2/409596.