How to Find GCF of 4398/280, 2322/851?

GCF of 4398/280, 2322/851

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 4398/280, 2322/851 i.e 6/238280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4398/280, 2322/851.

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 4398/280,2322/851?

Given fractions are 4398/280,2322/851

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 4398/280,2322/851, numerators are 4398,2322

Denominators are 280,851

The GCF of 4398,2322 is 6 .

LCM of 280,851 is 238280.

The greatest common factor of 4398/280,2322/851 = [GCF of 4398,2322]/[LCM of 280,851]= 6/238280

Therefore, the GCF of 4398/280,2322/851 is 6/238280.

Greatest Common Factor of 4398,2322

To find the highest common factor of 4398,2322, we have to find the factors of both numbers and list the highest common factor.

The factors of 4398 are 1, 2, 3, 6, 733, 1466, 2199, 4398

The factors of 2322 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 86, 129, 258, 387, 774, 1161, 2322

The HCF of 4398,2322 is 6.

Lets's calculate GCF of 4398,2322

Greatest Common Factor (GCF) of 4398,2322 By Common Division

2	4398, 2322
3	2199, 1161
	733, 387

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4398,2322 By Matching Biggest Common Factor Method

Now, list down the factors of 4398

1,2,3,6,733,1466,2199,4398

Now, list down the factors of 2322

1,2,3,6,9,18,27,43,54,86,129,258,387,774,1161,2322

Greatest Common Factor

We found the factors 4398,2322 . The biggest common factor number is the GCF number.
So the greatest common factor 4398,2322 is 6.

Lets's calculate LCM of 280,851

Lowest Common Multiple of 280,851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 238280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/238280

Therefore, the GCF of Fractions 4398/280,2322/851 is 6/238280

Least Common Multiple of 280,851 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 280,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,851) = 1

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

GCF(280,851) x common factors =1 x 1 = 1

LCM(280,851) = ( 280 × 851 ) / 1

LCM(280,851) = 238280 / 1

LCM(280,851) = 238280

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FAQs on GCF of Fractions of 4398/280, 2322/851

1. What is the HCF of 4398,2322?

The HCF of 4398,2322 is 6

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 4398/280, 2322/851?

Answer: GCF of Numerators as per given numbers 4398/280, 2322/851 is

GCF of Numerators i.e. for 4398,2322 is 6

LCM of denominators i.e. for 280,851 is 238280.

Thus, GCF of Fractions is 6/238280.Finally, GCF of Fractions for 4398/280, 2322/851 is 6/238280.