How to Find GCF of 1493/671, 3646/2119?

GCF of 1493/671, 3646/2119

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 1493/671, 3646/2119 i.e 1/1421849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1493/671, 3646/2119.

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 1493/671,3646/2119?

Given fractions are 1493/671,3646/2119

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 1493/671,3646/2119, numerators are 1493,3646

Denominators are 671,2119

The GCF of 1493,3646 is 1 .

LCM of 671,2119 is 1421849.

The greatest common factor of 1493/671,3646/2119 = [GCF of 1493,3646]/[LCM of 671,2119]= 1/1421849

Therefore, the GCF of 1493/671,3646/2119 is 1/1421849.

Greatest Common Factor of 1493,3646

To find the highest common factor of 1493,3646, we have to find the factors of both numbers and list the highest common factor.

The factors of 1493 are 1, 1493

The factors of 3646 are 1, 2, 1823, 3646

The HCF of 1493,3646 is 1.

Lets's calculate GCF of 1493,3646

Greatest Common Factor (GCF) of 1493,3646 By Common Division

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

Greatest Common Factor of 1493,3646 By Matching Biggest Common Factor Method

Now, list down the factors of 1493

1,1493

Now, list down the factors of 3646

1,2,1823,3646

Greatest Common Factor

We found the factors 1493,3646 . The biggest common factor number is the GCF number.
So the greatest common factor 1493,3646 is 1.

Lets's calculate LCM of 671,2119

Lowest Common Multiple of 671,2119 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1421849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1421849

Therefore, the GCF of Fractions 1493/671,3646/2119 is 1/1421849

Least Common Multiple of 671,2119 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 671,2119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,2119) = 1

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

GCF(671,2119) x common factors =1 x 1 = 1

LCM(671,2119) = ( 671 × 2119 ) / 1

LCM(671,2119) = 1421849 / 1

LCM(671,2119) = 1421849

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FAQs on GCF of Fractions of 1493/671, 3646/2119

1. What is the HCF of 1493,3646?

The HCF of 1493,3646 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 1493/671, 3646/2119?

Answer: GCF of Numerators as per given numbers 1493/671, 3646/2119 is

GCF of Numerators i.e. for 1493,3646 is 1

LCM of denominators i.e. for 671,2119 is 1421849.

Thus, GCF of Fractions is 1/1421849.Finally, GCF of Fractions for 1493/671, 3646/2119 is 1/1421849.