How to Find GCF of 2071/204, 3971/5555?

GCF of 2071/204, 3971/5555

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 2071/204, 3971/5555 i.e 19/1133220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2071/204, 3971/5555.

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 2071/204,3971/5555?

Given fractions are 2071/204,3971/5555

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 2071/204,3971/5555, numerators are 2071,3971

Denominators are 204,5555

The GCF of 2071,3971 is 19 .

LCM of 204,5555 is 1133220.

The greatest common factor of 2071/204,3971/5555 = [GCF of 2071,3971]/[LCM of 204,5555]= 19/1133220

Therefore, the GCF of 2071/204,3971/5555 is 19/1133220.

Greatest Common Factor of 2071,3971

To find the highest common factor of 2071,3971, we have to find the factors of both numbers and list the highest common factor.

The factors of 2071 are 1, 19, 109, 2071

The factors of 3971 are 1, 11, 19, 209, 361, 3971

The HCF of 2071,3971 is 19.

Lets's calculate GCF of 2071,3971

Greatest Common Factor (GCF) of 2071,3971 By Common Division

19	2071, 3971
	109, 209

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 2071,3971 By Matching Biggest Common Factor Method

Now, list down the factors of 2071

1,19,109,2071

Now, list down the factors of 3971

1,11,19,209,361,3971

Greatest Common Factor

We found the factors 2071,3971 . The biggest common factor number is the GCF number.
So the greatest common factor 2071,3971 is 19.

Lets's calculate LCM of 204,5555

Lowest Common Multiple of 204,5555 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1133220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1133220

Therefore, the GCF of Fractions 2071/204,3971/5555 is 19/1133220

Least Common Multiple of 204,5555 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 204,5555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,5555) = 1

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

GCF(204,5555) x common factors =1 x 1 = 1

LCM(204,5555) = ( 204 × 5555 ) / 1

LCM(204,5555) = 1133220 / 1

LCM(204,5555) = 1133220

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FAQs on GCF of Fractions of 2071/204, 3971/5555

1. What is the HCF of 2071,3971?

The HCF of 2071,3971 is 19

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 2071/204, 3971/5555?

Answer: GCF of Numerators as per given numbers 2071/204, 3971/5555 is

GCF of Numerators i.e. for 2071,3971 is 19

LCM of denominators i.e. for 204,5555 is 1133220.

Thus, GCF of Fractions is 19/1133220.Finally, GCF of Fractions for 2071/204, 3971/5555 is 19/1133220.