How to Find GCF of 7459/839, 4006/1644?

GCF of 7459/839, 4006/1644

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 7459/839, 4006/1644 i.e 1/1379316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7459/839, 4006/1644.

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 7459/839,4006/1644?

Given fractions are 7459/839,4006/1644

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 7459/839,4006/1644, numerators are 7459,4006

Denominators are 839,1644

The GCF of 7459,4006 is 1 .

LCM of 839,1644 is 1379316.

The greatest common factor of 7459/839,4006/1644 = [GCF of 7459,4006]/[LCM of 839,1644]= 1/1379316

Therefore, the GCF of 7459/839,4006/1644 is 1/1379316.

Greatest Common Factor of 7459,4006

To find the highest common factor of 7459,4006, we have to find the factors of both numbers and list the highest common factor.

The factors of 7459 are 1, 7459

The factors of 4006 are 1, 2, 2003, 4006

The HCF of 7459,4006 is 1.

Lets's calculate GCF of 7459,4006

Greatest Common Factor (GCF) of 7459,4006 By Common Division

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

Greatest Common Factor of 7459,4006 By Matching Biggest Common Factor Method

Now, list down the factors of 7459

1,7459

Now, list down the factors of 4006

1,2,2003,4006

Greatest Common Factor

We found the factors 7459,4006 . The biggest common factor number is the GCF number.
So the greatest common factor 7459,4006 is 1.

Lets's calculate LCM of 839,1644

Lowest Common Multiple of 839,1644 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1379316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1379316

Therefore, the GCF of Fractions 7459/839,4006/1644 is 1/1379316

Least Common Multiple of 839,1644 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 839,1644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,1644) = 1

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

GCF(839,1644) x common factors =1 x 1 = 1

LCM(839,1644) = ( 839 × 1644 ) / 1

LCM(839,1644) = 1379316 / 1

LCM(839,1644) = 1379316

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FAQs on GCF of Fractions of 7459/839, 4006/1644

1. What is the HCF of 7459,4006?

The HCF of 7459,4006 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 7459/839, 4006/1644?

Answer: GCF of Numerators as per given numbers 7459/839, 4006/1644 is

GCF of Numerators i.e. for 7459,4006 is 1

LCM of denominators i.e. for 839,1644 is 1379316.

Thus, GCF of Fractions is 1/1379316.Finally, GCF of Fractions for 7459/839, 4006/1644 is 1/1379316.