How to Find GCF of 5204/955, 1648/4724?

GCF of 5204/955, 1648/4724

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 5204/955, 1648/4724 i.e 4/4511420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5204/955, 1648/4724.

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 5204/955,1648/4724?

Given fractions are 5204/955,1648/4724

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 5204/955,1648/4724, numerators are 5204,1648

Denominators are 955,4724

The GCF of 5204,1648 is 4 .

LCM of 955,4724 is 4511420.

The greatest common factor of 5204/955,1648/4724 = [GCF of 5204,1648]/[LCM of 955,4724]= 4/4511420

Therefore, the GCF of 5204/955,1648/4724 is 4/4511420.

Greatest Common Factor of 5204,1648

To find the highest common factor of 5204,1648, we have to find the factors of both numbers and list the highest common factor.

The factors of 5204 are 1, 2, 4, 1301, 2602, 5204

The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648

The HCF of 5204,1648 is 4.

Lets's calculate GCF of 5204,1648

Greatest Common Factor (GCF) of 5204,1648 By Common Division

2	5204, 1648
2	2602, 824
	1301, 412

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

Greatest Common Factor of 5204,1648 By Matching Biggest Common Factor Method

Now, list down the factors of 5204

1,2,4,1301,2602,5204

Now, list down the factors of 1648

1,2,4,8,16,103,206,412,824,1648

Greatest Common Factor

We found the factors 5204,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 5204,1648 is 4.

Lets's calculate LCM of 955,4724

Lowest Common Multiple of 955,4724 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4511420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4511420

Therefore, the GCF of Fractions 5204/955,1648/4724 is 4/4511420

Least Common Multiple of 955,4724 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 955,4724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,4724) = 1

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

GCF(955,4724) x common factors =1 x 1 = 1

LCM(955,4724) = ( 955 × 4724 ) / 1

LCM(955,4724) = 4511420 / 1

LCM(955,4724) = 4511420

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FAQs on GCF of Fractions of 5204/955, 1648/4724

1. What is the HCF of 5204,1648?

The HCF of 5204,1648 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 5204/955, 1648/4724?

Answer: GCF of Numerators as per given numbers 5204/955, 1648/4724 is

GCF of Numerators i.e. for 5204,1648 is 4

LCM of denominators i.e. for 955,4724 is 4511420.

Thus, GCF of Fractions is 4/4511420.Finally, GCF of Fractions for 5204/955, 1648/4724 is 4/4511420.