How to Find GCF of 4364/208, 4621/2104?

GCF of 4364/208, 4621/2104

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 4364/208, 4621/2104 i.e 1/54704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4364/208, 4621/2104.

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 4364/208,4621/2104?

Given fractions are 4364/208,4621/2104

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 4364/208,4621/2104, numerators are 4364,4621

Denominators are 208,2104

The GCF of 4364,4621 is 1 .

LCM of 208,2104 is 54704.

The greatest common factor of 4364/208,4621/2104 = [GCF of 4364,4621]/[LCM of 208,2104]= 1/54704

Therefore, the GCF of 4364/208,4621/2104 is 1/54704.

Greatest Common Factor of 4364,4621

To find the highest common factor of 4364,4621, we have to find the factors of both numbers and list the highest common factor.

The factors of 4364 are 1, 2, 4, 1091, 2182, 4364

The factors of 4621 are 1, 4621

The HCF of 4364,4621 is 1.

Lets's calculate GCF of 4364,4621

Greatest Common Factor (GCF) of 4364,4621 By Common Division

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

Greatest Common Factor of 4364,4621 By Matching Biggest Common Factor Method

Now, list down the factors of 4364

1,2,4,1091,2182,4364

Now, list down the factors of 4621

1,4621

Greatest Common Factor

We found the factors 4364,4621 . The biggest common factor number is the GCF number.
So the greatest common factor 4364,4621 is 1.

Lets's calculate LCM of 208,2104

Lowest Common Multiple of 208,2104 using Common Division

2	208, 2104
2	104, 1052
2	52, 526
	26, 263

∴ So the LCM of the given numbers is 2 x 2 x 2 x 26 x 263 = 54704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54704

Therefore, the GCF of Fractions 4364/208,4621/2104 is 1/54704

Least Common Multiple of 208,2104 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 208,2104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,2104) = 8

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

GCF(208,2104) x common factors =8 x 1 = 8

LCM(208,2104) = ( 208 × 2104 ) / 8

LCM(208,2104) = 437632 / 8

LCM(208,2104) = 54704

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FAQs on GCF of Fractions of 4364/208, 4621/2104

1. What is the HCF of 4364,4621?

The HCF of 4364,4621 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 4364/208, 4621/2104?

Answer: GCF of Numerators as per given numbers 4364/208, 4621/2104 is

GCF of Numerators i.e. for 4364,4621 is 1

LCM of denominators i.e. for 208,2104 is 54704.

Thus, GCF of Fractions is 1/54704.Finally, GCF of Fractions for 4364/208, 4621/2104 is 1/54704.