How to Find GCF of 1419/647, 1045/3579?

GCF of 1419/647, 1045/3579

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 1419/647, 1045/3579 i.e 11/2315613 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1419/647, 1045/3579.

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 1419/647,1045/3579?

Given fractions are 1419/647,1045/3579

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 1419/647,1045/3579, numerators are 1419,1045

Denominators are 647,3579

The GCF of 1419,1045 is 11 .

LCM of 647,3579 is 2315613.

The greatest common factor of 1419/647,1045/3579 = [GCF of 1419,1045]/[LCM of 647,3579]= 11/2315613

Therefore, the GCF of 1419/647,1045/3579 is 11/2315613.

Greatest Common Factor of 1419,1045

To find the highest common factor of 1419,1045, we have to find the factors of both numbers and list the highest common factor.

The factors of 1419 are 1, 3, 11, 33, 43, 129, 473, 1419

The factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045

The HCF of 1419,1045 is 11.

Lets's calculate GCF of 1419,1045

Greatest Common Factor (GCF) of 1419,1045 By Common Division

11	1419, 1045
	129, 95

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1419,1045 By Matching Biggest Common Factor Method

Now, list down the factors of 1419

1,3,11,33,43,129,473,1419

Now, list down the factors of 1045

1,5,11,19,55,95,209,1045

Greatest Common Factor

We found the factors 1419,1045 . The biggest common factor number is the GCF number.
So the greatest common factor 1419,1045 is 11.

Lets's calculate LCM of 647,3579

Lowest Common Multiple of 647,3579 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2315613

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2315613

Therefore, the GCF of Fractions 1419/647,1045/3579 is 11/2315613

Least Common Multiple of 647,3579 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 647,3579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,3579) = 1

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

GCF(647,3579) x common factors =1 x 1 = 1

LCM(647,3579) = ( 647 × 3579 ) / 1

LCM(647,3579) = 2315613 / 1

LCM(647,3579) = 2315613

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1419/647, 1045/3579

1. What is the HCF of 1419,1045?

The HCF of 1419,1045 is 11

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 1419/647, 1045/3579?

Answer: GCF of Numerators as per given numbers 1419/647, 1045/3579 is

GCF of Numerators i.e. for 1419,1045 is 11

LCM of denominators i.e. for 647,3579 is 2315613.

Thus, GCF of Fractions is 11/2315613.Finally, GCF of Fractions for 1419/647, 1045/3579 is 11/2315613.