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GCF of 2819/271, 1603/8701

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 2819/271, 1603/8701 i.e 1/2357971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2819/271, 1603/8701.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2819/271,1603/8701?

Given fractions are 2819/271,1603/8701

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 2819/271,1603/8701, numerators are 2819,1603

Denominators are 271,8701

The GCF of 2819,1603 is 1 .

LCM of 271,8701 is 2357971.

The greatest common factor of 2819/271,1603/8701 = [GCF of 2819,1603]/[LCM of 271,8701]= 1/2357971

Therefore, the GCF of 2819/271,1603/8701 is 1/2357971.

Greatest Common Factor of 2819,1603

To find the highest common factor of 2819,1603, we have to find the factors of both numbers and list the highest common factor.

The factors of 2819 are 1, 2819

The factors of 1603 are 1, 7, 229, 1603

The HCF of 2819,1603 is 1.

Lets's calculate GCF of 2819,1603

Greatest Common Factor (GCF) of 2819,1603 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2819,1603 By Matching Biggest Common Factor Method

Greatest Common Factor of 2819,1603 By Matching Biggest Common Factor Method

Now, list down the factors of 2819

:

1,2819

Now, list down the factors of 1603

:

1,7,229,1603

Greatest Common Factor

We found the factors 2819,1603 . The biggest common factor number is the GCF number.
So the greatest common factor 2819,1603 is 1.

Lets's calculate LCM of 271,8701

Lowest Common Multiple of 271,8701 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2357971

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2357971

Therefore, the GCF of Fractions 2819/271,1603/8701 is 1/2357971

Least Common Multiple of 271,8701 with GCF Formula

Least Common Multiple of 271,8701 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 271,8701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,8701) = 1

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

GCF(271,8701) x common factors =1 x 1 = 1

LCM(271,8701) = ( 271 × 8701 ) / 1

LCM(271,8701) = 2357971 / 1

LCM(271,8701) = 2357971


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FAQs on GCF of Fractions of 2819/271, 1603/8701

1. What is the HCF of 2819,1603?

The HCF of 2819,1603 is 1

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 2819/271, 1603/8701?

Answer: GCF of Numerators as per given numbers 2819/271, 1603/8701 is

GCF of Numerators i.e. for 2819,1603 is 1

LCM of denominators i.e. for 271,8701 is 2357971.

Thus, GCF of Fractions is 1/2357971.Finally, GCF of Fractions for 2819/271, 1603/8701 is 1/2357971.