How to Find GCF of 4569/536, 2109/104?

GCF of 4569/536, 2109/104

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4569/536, 2109/104 i.e 3/6968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4569/536, 2109/104.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4569/536,2109/104?

Given fractions are 4569/536,2109/104

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4569/536,2109/104, numerators are 4569,2109

Denominators are 536,104

The GCF of 4569,2109 is 3 .

LCM of 536,104 is 6968.

The greatest common factor of 4569/536,2109/104 = [GCF of 4569,2109]/[LCM of 536,104]= 3/6968

Therefore, the GCF of 4569/536,2109/104 is 3/6968.

Greatest Common Factor of 4569,2109

To find the highest common factor of 4569,2109, we have to find the factors of both numbers and list the highest common factor.

The factors of 4569 are 1, 3, 1523, 4569

The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109

The HCF of 4569,2109 is 3.

Lets's calculate GCF of 4569,2109

Greatest Common Factor (GCF) of 4569,2109 By Common Division

3	4569, 2109
	1523, 703

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4569,2109 By Matching Biggest Common Factor Method

Now, list down the factors of 4569

1,3,1523,4569

Now, list down the factors of 2109

1,3,19,37,57,111,703,2109

Greatest Common Factor

We found the factors 4569,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 4569,2109 is 3.

Lets's calculate LCM of 536,104

Lowest Common Multiple of 536,104 using Common Division

2	536, 104
2	268, 52
2	134, 26
	67, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 13 = 6968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6968

Therefore, the GCF of Fractions 4569/536,2109/104 is 3/6968

Least Common Multiple of 536,104 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 536,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,104) = 8

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

GCF(536,104) x common factors =8 x 1 = 8

LCM(536,104) = ( 536 × 104 ) / 8

LCM(536,104) = 55744 / 8

LCM(536,104) = 6968

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4569/536, 2109/104

1. What is the HCF of 4569,2109?

The HCF of 4569,2109 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 4569/536, 2109/104?

Answer: GCF of Numerators as per given numbers 4569/536, 2109/104 is

GCF of Numerators i.e. for 4569,2109 is 3

LCM of denominators i.e. for 536,104 is 6968.

Thus, GCF of Fractions is 3/6968.Finally, GCF of Fractions for 4569/536, 2109/104 is 3/6968.