How to Find GCF of 4252/229, 2416/6424?

GCF of 4252/229, 2416/6424

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 4252/229, 2416/6424 i.e 4/1471096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4252/229, 2416/6424.

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 4252/229,2416/6424?

Given fractions are 4252/229,2416/6424

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 4252/229,2416/6424, numerators are 4252,2416

Denominators are 229,6424

The GCF of 4252,2416 is 4 .

LCM of 229,6424 is 1471096.

The greatest common factor of 4252/229,2416/6424 = [GCF of 4252,2416]/[LCM of 229,6424]= 4/1471096

Therefore, the GCF of 4252/229,2416/6424 is 4/1471096.

Greatest Common Factor of 4252,2416

To find the highest common factor of 4252,2416, we have to find the factors of both numbers and list the highest common factor.

The factors of 4252 are 1, 2, 4, 1063, 2126, 4252

The factors of 2416 are 1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416

The HCF of 4252,2416 is 4.

Lets's calculate GCF of 4252,2416

Greatest Common Factor (GCF) of 4252,2416 By Common Division

2	4252, 2416
2	2126, 1208
	1063, 604

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4252,2416 By Matching Biggest Common Factor Method

Now, list down the factors of 4252

1,2,4,1063,2126,4252

Now, list down the factors of 2416

1,2,4,8,16,151,302,604,1208,2416

Greatest Common Factor

We found the factors 4252,2416 . The biggest common factor number is the GCF number.
So the greatest common factor 4252,2416 is 4.

Lets's calculate LCM of 229,6424

Lowest Common Multiple of 229,6424 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1471096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1471096

Therefore, the GCF of Fractions 4252/229,2416/6424 is 4/1471096

Least Common Multiple of 229,6424 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 229,6424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,6424) = 1

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

GCF(229,6424) x common factors =1 x 1 = 1

LCM(229,6424) = ( 229 × 6424 ) / 1

LCM(229,6424) = 1471096 / 1

LCM(229,6424) = 1471096

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FAQs on GCF of Fractions of 4252/229, 2416/6424

1. What is the HCF of 4252,2416?

The HCF of 4252,2416 is 4

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 4252/229, 2416/6424?

Answer: GCF of Numerators as per given numbers 4252/229, 2416/6424 is

GCF of Numerators i.e. for 4252,2416 is 4

LCM of denominators i.e. for 229,6424 is 1471096.

Thus, GCF of Fractions is 4/1471096.Finally, GCF of Fractions for 4252/229, 2416/6424 is 4/1471096.