How to Find GCF of 5684/424, 4528/4543?

GCF of 5684/424, 4528/4543

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 5684/424, 4528/4543 i.e 4/1926232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5684/424, 4528/4543.

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 5684/424,4528/4543?

Given fractions are 5684/424,4528/4543

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 5684/424,4528/4543, numerators are 5684,4528

Denominators are 424,4543

The GCF of 5684,4528 is 4 .

LCM of 424,4543 is 1926232.

The greatest common factor of 5684/424,4528/4543 = [GCF of 5684,4528]/[LCM of 424,4543]= 4/1926232

Therefore, the GCF of 5684/424,4528/4543 is 4/1926232.

Greatest Common Factor of 5684,4528

To find the highest common factor of 5684,4528, we have to find the factors of both numbers and list the highest common factor.

The factors of 5684 are 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684

The factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528

The HCF of 5684,4528 is 4.

Lets's calculate GCF of 5684,4528

Greatest Common Factor (GCF) of 5684,4528 By Common Division

2	5684, 4528
2	2842, 2264
	1421, 1132

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5684,4528 By Matching Biggest Common Factor Method

Now, list down the factors of 5684

1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684

Now, list down the factors of 4528

1,2,4,8,16,283,566,1132,2264,4528

Greatest Common Factor

We found the factors 5684,4528 . The biggest common factor number is the GCF number.
So the greatest common factor 5684,4528 is 4.

Lets's calculate LCM of 424,4543

Lowest Common Multiple of 424,4543 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1926232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1926232

Therefore, the GCF of Fractions 5684/424,4528/4543 is 4/1926232

Least Common Multiple of 424,4543 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 424,4543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,4543) = 1

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

GCF(424,4543) x common factors =1 x 1 = 1

LCM(424,4543) = ( 424 × 4543 ) / 1

LCM(424,4543) = 1926232 / 1

LCM(424,4543) = 1926232

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FAQs on GCF of Fractions of 5684/424, 4528/4543

1. What is the HCF of 5684,4528?

The HCF of 5684,4528 is 4

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 5684/424, 4528/4543?

Answer: GCF of Numerators as per given numbers 5684/424, 4528/4543 is

GCF of Numerators i.e. for 5684,4528 is 4

LCM of denominators i.e. for 424,4543 is 1926232.

Thus, GCF of Fractions is 4/1926232.Finally, GCF of Fractions for 5684/424, 4528/4543 is 4/1926232.