How to Find GCF of 3668/271, 6100/4536?

GCF of 3668/271, 6100/4536

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 3668/271, 6100/4536 i.e 4/1229256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3668/271, 6100/4536.

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 3668/271,6100/4536?

Given fractions are 3668/271,6100/4536

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 3668/271,6100/4536, numerators are 3668,6100

Denominators are 271,4536

The GCF of 3668,6100 is 4 .

LCM of 271,4536 is 1229256.

The greatest common factor of 3668/271,6100/4536 = [GCF of 3668,6100]/[LCM of 271,4536]= 4/1229256

Therefore, the GCF of 3668/271,6100/4536 is 4/1229256.

Greatest Common Factor of 3668,6100

To find the highest common factor of 3668,6100, we have to find the factors of both numbers and list the highest common factor.

The factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668

The factors of 6100 are 1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100

The HCF of 3668,6100 is 4.

Lets's calculate GCF of 3668,6100

Greatest Common Factor (GCF) of 3668,6100 By Common Division

2	3668, 6100
2	1834, 3050
	917, 1525

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

Greatest Common Factor of 3668,6100 By Matching Biggest Common Factor Method

Now, list down the factors of 3668

1,2,4,7,14,28,131,262,524,917,1834,3668

Now, list down the factors of 6100

1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100

Greatest Common Factor

We found the factors 3668,6100 . The biggest common factor number is the GCF number.
So the greatest common factor 3668,6100 is 4.

Lets's calculate LCM of 271,4536

Lowest Common Multiple of 271,4536 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1229256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1229256

Therefore, the GCF of Fractions 3668/271,6100/4536 is 4/1229256

Least Common Multiple of 271,4536 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 271,4536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,4536) = 1

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

GCF(271,4536) x common factors =1 x 1 = 1

LCM(271,4536) = ( 271 × 4536 ) / 1

LCM(271,4536) = 1229256 / 1

LCM(271,4536) = 1229256

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3668/271, 6100/4536

1. What is the HCF of 3668,6100?

The HCF of 3668,6100 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 3668/271, 6100/4536?

Answer: GCF of Numerators as per given numbers 3668/271, 6100/4536 is

GCF of Numerators i.e. for 3668,6100 is 4

LCM of denominators i.e. for 271,4536 is 1229256.

Thus, GCF of Fractions is 4/1229256.Finally, GCF of Fractions for 3668/271, 6100/4536 is 4/1229256.