How to Find GCF of 6556/625, 9604/3218?

GCF of 6556/625, 9604/3218

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 6556/625, 9604/3218 i.e 4/2011250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6556/625, 9604/3218.

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 6556/625,9604/3218?

Given fractions are 6556/625,9604/3218

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 6556/625,9604/3218, numerators are 6556,9604

Denominators are 625,3218

The GCF of 6556,9604 is 4 .

LCM of 625,3218 is 2011250.

The greatest common factor of 6556/625,9604/3218 = [GCF of 6556,9604]/[LCM of 625,3218]= 4/2011250

Therefore, the GCF of 6556/625,9604/3218 is 4/2011250.

Greatest Common Factor of 6556,9604

To find the highest common factor of 6556,9604, we have to find the factors of both numbers and list the highest common factor.

The factors of 6556 are 1, 2, 4, 11, 22, 44, 149, 298, 596, 1639, 3278, 6556

The factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604

The HCF of 6556,9604 is 4.

Lets's calculate GCF of 6556,9604

Greatest Common Factor (GCF) of 6556,9604 By Common Division

2	6556, 9604
2	3278, 4802
	1639, 2401

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

Greatest Common Factor of 6556,9604 By Matching Biggest Common Factor Method

Now, list down the factors of 6556

1,2,4,11,22,44,149,298,596,1639,3278,6556

Now, list down the factors of 9604

1,2,4,7,14,28,49,98,196,343,686,1372,2401,4802,9604

Greatest Common Factor

We found the factors 6556,9604 . The biggest common factor number is the GCF number.
So the greatest common factor 6556,9604 is 4.

Lets's calculate LCM of 625,3218

Lowest Common Multiple of 625,3218 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2011250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2011250

Therefore, the GCF of Fractions 6556/625,9604/3218 is 4/2011250

Least Common Multiple of 625,3218 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 625,3218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,3218) = 1

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

GCF(625,3218) x common factors =1 x 1 = 1

LCM(625,3218) = ( 625 × 3218 ) / 1

LCM(625,3218) = 2011250 / 1

LCM(625,3218) = 2011250

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6556/625, 9604/3218

1. What is the HCF of 6556,9604?

The HCF of 6556,9604 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 6556/625, 9604/3218?

Answer: GCF of Numerators as per given numbers 6556/625, 9604/3218 is

GCF of Numerators i.e. for 6556,9604 is 4

LCM of denominators i.e. for 625,3218 is 2011250.

Thus, GCF of Fractions is 4/2011250.Finally, GCF of Fractions for 6556/625, 9604/3218 is 4/2011250.