How to Find GCF of 1343/866, 3453/4589?

GCF of 1343/866, 3453/4589

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 1343/866, 3453/4589 i.e 1/3974074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1343/866, 3453/4589.

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 1343/866,3453/4589?

Given fractions are 1343/866,3453/4589

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 1343/866,3453/4589, numerators are 1343,3453

Denominators are 866,4589

The GCF of 1343,3453 is 1 .

LCM of 866,4589 is 3974074.

The greatest common factor of 1343/866,3453/4589 = [GCF of 1343,3453]/[LCM of 866,4589]= 1/3974074

Therefore, the GCF of 1343/866,3453/4589 is 1/3974074.

Greatest Common Factor of 1343,3453

To find the highest common factor of 1343,3453, we have to find the factors of both numbers and list the highest common factor.

The factors of 1343 are 1, 17, 79, 1343

The factors of 3453 are 1, 3, 1151, 3453

The HCF of 1343,3453 is 1.

Lets's calculate GCF of 1343,3453

Greatest Common Factor (GCF) of 1343,3453 By Common Division

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

Greatest Common Factor of 1343,3453 By Matching Biggest Common Factor Method

Now, list down the factors of 1343

1,17,79,1343

Now, list down the factors of 3453

1,3,1151,3453

Greatest Common Factor

We found the factors 1343,3453 . The biggest common factor number is the GCF number.
So the greatest common factor 1343,3453 is 1.

Lets's calculate LCM of 866,4589

Lowest Common Multiple of 866,4589 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3974074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3974074

Therefore, the GCF of Fractions 1343/866,3453/4589 is 1/3974074

Least Common Multiple of 866,4589 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 866,4589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,4589) = 1

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

GCF(866,4589) x common factors =1 x 1 = 1

LCM(866,4589) = ( 866 × 4589 ) / 1

LCM(866,4589) = 3974074 / 1

LCM(866,4589) = 3974074

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FAQs on GCF of Fractions of 1343/866, 3453/4589

1. What is the HCF of 1343,3453?

The HCF of 1343,3453 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 1343/866, 3453/4589?

Answer: GCF of Numerators as per given numbers 1343/866, 3453/4589 is

GCF of Numerators i.e. for 1343,3453 is 1

LCM of denominators i.e. for 866,4589 is 3974074.

Thus, GCF of Fractions is 1/3974074.Finally, GCF of Fractions for 1343/866, 3453/4589 is 1/3974074.