How to Find GCF of 3273/890, 6617/5683?

GCF of 3273/890, 6617/5683

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 3273/890, 6617/5683 i.e 1/5057870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3273/890, 6617/5683.

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 3273/890,6617/5683?

Given fractions are 3273/890,6617/5683

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 3273/890,6617/5683, numerators are 3273,6617

Denominators are 890,5683

The GCF of 3273,6617 is 1 .

LCM of 890,5683 is 5057870.

The greatest common factor of 3273/890,6617/5683 = [GCF of 3273,6617]/[LCM of 890,5683]= 1/5057870

Therefore, the GCF of 3273/890,6617/5683 is 1/5057870.

Greatest Common Factor of 3273,6617

To find the highest common factor of 3273,6617, we have to find the factors of both numbers and list the highest common factor.

The factors of 3273 are 1, 3, 1091, 3273

The factors of 6617 are 1, 13, 509, 6617

The HCF of 3273,6617 is 1.

Lets's calculate GCF of 3273,6617

Greatest Common Factor (GCF) of 3273,6617 By Common Division

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

Greatest Common Factor of 3273,6617 By Matching Biggest Common Factor Method

Now, list down the factors of 3273

1,3,1091,3273

Now, list down the factors of 6617

1,13,509,6617

Greatest Common Factor

We found the factors 3273,6617 . The biggest common factor number is the GCF number.
So the greatest common factor 3273,6617 is 1.

Lets's calculate LCM of 890,5683

Lowest Common Multiple of 890,5683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5057870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5057870

Therefore, the GCF of Fractions 3273/890,6617/5683 is 1/5057870

Least Common Multiple of 890,5683 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 890,5683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,5683) = 1

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

GCF(890,5683) x common factors =1 x 1 = 1

LCM(890,5683) = ( 890 × 5683 ) / 1

LCM(890,5683) = 5057870 / 1

LCM(890,5683) = 5057870

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FAQs on GCF of Fractions of 3273/890, 6617/5683

1. What is the HCF of 3273,6617?

The HCF of 3273,6617 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 3273/890, 6617/5683?

Answer: GCF of Numerators as per given numbers 3273/890, 6617/5683 is

GCF of Numerators i.e. for 3273,6617 is 1

LCM of denominators i.e. for 890,5683 is 5057870.

Thus, GCF of Fractions is 1/5057870.Finally, GCF of Fractions for 3273/890, 6617/5683 is 1/5057870.