How to Find GCF of 6656/605, 1726/8643?

GCF of 6656/605, 1726/8643

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 6656/605, 1726/8643 i.e 2/5229015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6656/605, 1726/8643.

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 6656/605,1726/8643?

Given fractions are 6656/605,1726/8643

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 6656/605,1726/8643, numerators are 6656,1726

Denominators are 605,8643

The GCF of 6656,1726 is 2 .

LCM of 605,8643 is 5229015.

The greatest common factor of 6656/605,1726/8643 = [GCF of 6656,1726]/[LCM of 605,8643]= 2/5229015

Therefore, the GCF of 6656/605,1726/8643 is 2/5229015.

Greatest Common Factor of 6656,1726

To find the highest common factor of 6656,1726, we have to find the factors of both numbers and list the highest common factor.

The factors of 6656 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1664, 3328, 6656

The factors of 1726 are 1, 2, 863, 1726

The HCF of 6656,1726 is 2.

Lets's calculate GCF of 6656,1726

Greatest Common Factor (GCF) of 6656,1726 By Common Division

2	6656, 1726
	3328, 863

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

Greatest Common Factor of 6656,1726 By Matching Biggest Common Factor Method

Now, list down the factors of 6656

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,512,832,1664,3328,6656

Now, list down the factors of 1726

1,2,863,1726

Greatest Common Factor

We found the factors 6656,1726 . The biggest common factor number is the GCF number.
So the greatest common factor 6656,1726 is 2.

Lets's calculate LCM of 605,8643

Lowest Common Multiple of 605,8643 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5229015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5229015

Therefore, the GCF of Fractions 6656/605,1726/8643 is 2/5229015

Least Common Multiple of 605,8643 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 605,8643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,8643) = 1

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

GCF(605,8643) x common factors =1 x 1 = 1

LCM(605,8643) = ( 605 × 8643 ) / 1

LCM(605,8643) = 5229015 / 1

LCM(605,8643) = 5229015

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FAQs on GCF of Fractions of 6656/605, 1726/8643

1. What is the HCF of 6656,1726?

The HCF of 6656,1726 is 2

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 6656/605, 1726/8643?

Answer: GCF of Numerators as per given numbers 6656/605, 1726/8643 is

GCF of Numerators i.e. for 6656,1726 is 2

LCM of denominators i.e. for 605,8643 is 5229015.

Thus, GCF of Fractions is 2/5229015.Finally, GCF of Fractions for 6656/605, 1726/8643 is 2/5229015.