How to Find GCF of 2671/917, 3447/604?

GCF of 2671/917, 3447/604

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 2671/917, 3447/604 i.e 1/553868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2671/917, 3447/604.

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 2671/917,3447/604?

Given fractions are 2671/917,3447/604

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 2671/917,3447/604, numerators are 2671,3447

Denominators are 917,604

The GCF of 2671,3447 is 1 .

LCM of 917,604 is 553868.

The greatest common factor of 2671/917,3447/604 = [GCF of 2671,3447]/[LCM of 917,604]= 1/553868

Therefore, the GCF of 2671/917,3447/604 is 1/553868.

Greatest Common Factor of 2671,3447

To find the highest common factor of 2671,3447, we have to find the factors of both numbers and list the highest common factor.

The factors of 2671 are 1, 2671

The factors of 3447 are 1, 3, 9, 383, 1149, 3447

The HCF of 2671,3447 is 1.

Lets's calculate GCF of 2671,3447

Greatest Common Factor (GCF) of 2671,3447 By Common Division

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

Greatest Common Factor of 2671,3447 By Matching Biggest Common Factor Method

Now, list down the factors of 2671

1,2671

Now, list down the factors of 3447

1,3,9,383,1149,3447

Greatest Common Factor

We found the factors 2671,3447 . The biggest common factor number is the GCF number.
So the greatest common factor 2671,3447 is 1.

Lets's calculate LCM of 917,604

Lowest Common Multiple of 917,604 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 553868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553868

Therefore, the GCF of Fractions 2671/917,3447/604 is 1/553868

Least Common Multiple of 917,604 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 917,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,604) = 1

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

GCF(917,604) x common factors =1 x 1 = 1

LCM(917,604) = ( 917 × 604 ) / 1

LCM(917,604) = 553868 / 1

LCM(917,604) = 553868

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FAQs on GCF of Fractions of 2671/917, 3447/604

1. What is the HCF of 2671,3447?

The HCF of 2671,3447 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 2671/917, 3447/604?

Answer: GCF of Numerators as per given numbers 2671/917, 3447/604 is

GCF of Numerators i.e. for 2671,3447 is 1

LCM of denominators i.e. for 917,604 is 553868.

Thus, GCF of Fractions is 1/553868.Finally, GCF of Fractions for 2671/917, 3447/604 is 1/553868.