How to Find GCF of 5437/502, 1384/2164?

GCF of 5437/502, 1384/2164

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 5437/502, 1384/2164 i.e 1/543164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5437/502, 1384/2164.

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 5437/502,1384/2164?

Given fractions are 5437/502,1384/2164

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 5437/502,1384/2164, numerators are 5437,1384

Denominators are 502,2164

The GCF of 5437,1384 is 1 .

LCM of 502,2164 is 543164.

The greatest common factor of 5437/502,1384/2164 = [GCF of 5437,1384]/[LCM of 502,2164]= 1/543164

Therefore, the GCF of 5437/502,1384/2164 is 1/543164.

Greatest Common Factor of 5437,1384

To find the highest common factor of 5437,1384, we have to find the factors of both numbers and list the highest common factor.

The factors of 5437 are 1, 5437

The factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384

The HCF of 5437,1384 is 1.

Lets's calculate GCF of 5437,1384

Greatest Common Factor (GCF) of 5437,1384 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5437,1384 By Matching Biggest Common Factor Method

Now, list down the factors of 5437

1,5437

Now, list down the factors of 1384

1,2,4,8,173,346,692,1384

Greatest Common Factor

We found the factors 5437,1384 . The biggest common factor number is the GCF number.
So the greatest common factor 5437,1384 is 1.

Lets's calculate LCM of 502,2164

Lowest Common Multiple of 502,2164 using Common Division

2	502, 2164
	251, 1082

∴ So the LCM of the given numbers is 2 x 251 x 1082 = 543164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543164

Therefore, the GCF of Fractions 5437/502,1384/2164 is 1/543164

Least Common Multiple of 502,2164 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 502,2164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,2164) = 2

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

GCF(502,2164) x common factors =2 x 1 = 2

LCM(502,2164) = ( 502 × 2164 ) / 2

LCM(502,2164) = 1086328 / 2

LCM(502,2164) = 543164

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FAQs on GCF of Fractions of 5437/502, 1384/2164

1. What is the HCF of 5437,1384?

The HCF of 5437,1384 is 1

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 5437/502, 1384/2164?

Answer: GCF of Numerators as per given numbers 5437/502, 1384/2164 is

GCF of Numerators i.e. for 5437,1384 is 1

LCM of denominators i.e. for 502,2164 is 543164.

Thus, GCF of Fractions is 1/543164.Finally, GCF of Fractions for 5437/502, 1384/2164 is 1/543164.