Greatest Common Factor of 562/34, 5904/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 562/34, 5904/820

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 562/34,5904/820

Given fractions are 562/34,5904/820

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 562,5904

Greatest Common Factor of Numerators i.e. GCF of 562,5904 is 2 .

LCM of Denominators means LCM of 34,820 as per the given fractions.

LCM of 34,820 is 13940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 562,5904

GCF of Fractions 562/34,5904/820 is 2/13940

2 562, 5904
281, 2952

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

Greatest Common Factor of 562,5904 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,5904 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 5904

List of positive integer factors of 5904 that divides 5904 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904

Greatest Common Factor

We found the factors 562,5904 . The biggest common factor number is the GCF number.
So the greatest common factor 562,5904 is 2.

Lets's calculate LCM of 34,820

2 34, 820
17, 410

∴ So the LCM of the given numbers is 2 x 17 x 410 = 13940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13940

Therefore, the GCF of Fractions 562/34,5904/820 is 2/13940

Least Common Multiple of 34,820 with GCF Formula

Least Common Multiple of 34,820 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 34,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,820) = 2

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

GCF(34,820) x common factors =2 x 1 = 2

LCM(34,820) = ( 34 × 820 ) / 2

LCM(34,820) = 27880 / 2

LCM(34,820) = 13940


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 562/34, 5904/820

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 562/34, 5904/820?

Answer: GCF of Numerators as per given numbers 562/34, 5904/820 is

GCF of Numerators i.e. for 562,5904 is 2

LCM of denominators i.e. for 34,820 is 13940.

Thus, GCF of Fractions is 2/13940.Finally, GCF of Fractions for 562/34, 5904/820 is 2/13940.