How to Find GCF of 4218/316, 4310/5836?

GCF of 4218/316, 4310/5836

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 4218/316, 4310/5836 i.e 2/461044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4218/316, 4310/5836.

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 4218/316,4310/5836?

Given fractions are 4218/316,4310/5836

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 4218/316,4310/5836, numerators are 4218,4310

Denominators are 316,5836

The GCF of 4218,4310 is 2 .

LCM of 316,5836 is 461044.

The greatest common factor of 4218/316,4310/5836 = [GCF of 4218,4310]/[LCM of 316,5836]= 2/461044

Therefore, the GCF of 4218/316,4310/5836 is 2/461044.

Greatest Common Factor of 4218,4310

To find the highest common factor of 4218,4310, we have to find the factors of both numbers and list the highest common factor.

The factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218

The factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310

The HCF of 4218,4310 is 2.

Lets's calculate GCF of 4218,4310

Greatest Common Factor (GCF) of 4218,4310 By Common Division

2	4218, 4310
	2109, 2155

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

Greatest Common Factor of 4218,4310 By Matching Biggest Common Factor Method

Now, list down the factors of 4218

1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218

Now, list down the factors of 4310

1,2,5,10,431,862,2155,4310

Greatest Common Factor

We found the factors 4218,4310 . The biggest common factor number is the GCF number.
So the greatest common factor 4218,4310 is 2.

Lets's calculate LCM of 316,5836

Lowest Common Multiple of 316,5836 using Common Division

2	316, 5836
2	158, 2918
	79, 1459

∴ So the LCM of the given numbers is 2 x 2 x 79 x 1459 = 461044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/461044

Therefore, the GCF of Fractions 4218/316,4310/5836 is 2/461044

Least Common Multiple of 316,5836 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 316,5836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,5836) = 4

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

GCF(316,5836) x common factors =4 x 1 = 4

LCM(316,5836) = ( 316 × 5836 ) / 4

LCM(316,5836) = 1844176 / 4

LCM(316,5836) = 461044

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FAQs on GCF of Fractions of 4218/316, 4310/5836

1. What is the HCF of 4218,4310?

The HCF of 4218,4310 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 4218/316, 4310/5836?

Answer: GCF of Numerators as per given numbers 4218/316, 4310/5836 is

GCF of Numerators i.e. for 4218,4310 is 2

LCM of denominators i.e. for 316,5836 is 461044.

Thus, GCF of Fractions is 2/461044.Finally, GCF of Fractions for 4218/316, 4310/5836 is 2/461044.