How to Find GCF of 4318/479, 5514/7515?

GCF of 4318/479, 5514/7515

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 4318/479, 5514/7515 i.e 2/3599685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4318/479, 5514/7515.

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 4318/479,5514/7515?

Given fractions are 4318/479,5514/7515

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 4318/479,5514/7515, numerators are 4318,5514

Denominators are 479,7515

The GCF of 4318,5514 is 2 .

LCM of 479,7515 is 3599685.

The greatest common factor of 4318/479,5514/7515 = [GCF of 4318,5514]/[LCM of 479,7515]= 2/3599685

Therefore, the GCF of 4318/479,5514/7515 is 2/3599685.

Greatest Common Factor of 4318,5514

To find the highest common factor of 4318,5514, we have to find the factors of both numbers and list the highest common factor.

The factors of 4318 are 1, 2, 17, 34, 127, 254, 2159, 4318

The factors of 5514 are 1, 2, 3, 6, 919, 1838, 2757, 5514

The HCF of 4318,5514 is 2.

Lets's calculate GCF of 4318,5514

Greatest Common Factor (GCF) of 4318,5514 By Common Division

2	4318, 5514
	2159, 2757

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4318,5514 By Matching Biggest Common Factor Method

Now, list down the factors of 4318

1,2,17,34,127,254,2159,4318

Now, list down the factors of 5514

1,2,3,6,919,1838,2757,5514

Greatest Common Factor

We found the factors 4318,5514 . The biggest common factor number is the GCF number.
So the greatest common factor 4318,5514 is 2.

Lets's calculate LCM of 479,7515

Lowest Common Multiple of 479,7515 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3599685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3599685

Therefore, the GCF of Fractions 4318/479,5514/7515 is 2/3599685

Least Common Multiple of 479,7515 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 479,7515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,7515) = 1

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

GCF(479,7515) x common factors =1 x 1 = 1

LCM(479,7515) = ( 479 × 7515 ) / 1

LCM(479,7515) = 3599685 / 1

LCM(479,7515) = 3599685

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FAQs on GCF of Fractions of 4318/479, 5514/7515

1. What is the HCF of 4318,5514?

The HCF of 4318,5514 is 2

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 4318/479, 5514/7515?

Answer: GCF of Numerators as per given numbers 4318/479, 5514/7515 is

GCF of Numerators i.e. for 4318,5514 is 2

LCM of denominators i.e. for 479,7515 is 3599685.

Thus, GCF of Fractions is 2/3599685.Finally, GCF of Fractions for 4318/479, 5514/7515 is 2/3599685.