Greatest Common Factor of 1948/567, 7814/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1948/567, 7814/684

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 1948/567,7814/684

Given fractions are 1948/567,7814/684

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 1948,7814

Greatest Common Factor of Numerators i.e. GCF of 1948,7814 is 2 .

LCM of Denominators means LCM of 567,684 as per the given fractions.

LCM of 567,684 is 43092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1948,7814

GCF of Fractions 1948/567,7814/684 is 2/43092

2 1948, 7814
974, 3907

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

Greatest Common Factor of 1948,7814 By Matching Biggest Common Factor Method

Greatest Common Factor of 1948,7814 By Matching Biggest Common Factor Method

Factors of 1948

List of positive integer factors of 1948 that divides 1948 without a remainder.

1,2,4,487,974,1948

Factors of 7814

List of positive integer factors of 7814 that divides 7814 without a remainder.

1,2,3907,7814

Greatest Common Factor

We found the factors 1948,7814 . The biggest common factor number is the GCF number.
So the greatest common factor 1948,7814 is 2.

Lets's calculate LCM of 567,684

3 567, 684
3 189, 228
63, 76

∴ So the LCM of the given numbers is 3 x 3 x 63 x 76 = 43092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43092

Therefore, the GCF of Fractions 1948/567,7814/684 is 2/43092

Least Common Multiple of 567,684 with GCF Formula

Least Common Multiple of 567,684 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 567,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,684) = 9

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

GCF(567,684) x common factors =9 x 1 = 9

LCM(567,684) = ( 567 × 684 ) / 9

LCM(567,684) = 387828 / 9

LCM(567,684) = 43092


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 1948/567, 7814/684

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 1948/567, 7814/684?

Answer: GCF of Numerators as per given numbers 1948/567, 7814/684 is

GCF of Numerators i.e. for 1948,7814 is 2

LCM of denominators i.e. for 567,684 is 43092.

Thus, GCF of Fractions is 2/43092.Finally, GCF of Fractions for 1948/567, 7814/684 is 2/43092.