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GCF of 244/806, 628/223

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 244/806, 628/223 i.e 4/179738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 244/806, 628/223.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 244/806,628/223?

Given fractions are 244/806,628/223

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 244/806,628/223, numerators are 244,628

Denominators are 806,223

The GCF of 244,628 is 4 .

LCM of 806,223 is 179738.

The greatest common factor of 244/806,628/223 = [GCF of 244,628]/[LCM of 806,223]= 4/179738

Therefore, the GCF of 244/806,628/223 is 4/179738.

Greatest Common Factor of 244,628

To find the highest common factor of 244,628, we have to find the factors of both numbers and list the highest common factor.

The factors of 244 are 1, 2, 4, 61, 122, 244

The factors of 628 are 1, 2, 4, 157, 314, 628

The HCF of 244,628 is 4.

Lets's calculate GCF of 244,628

Greatest Common Factor (GCF) of 244,628 By Common Division

2 244, 628
2 122, 314
61, 157

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

Greatest Common Factor of 244,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,628 By Matching Biggest Common Factor Method

Now, list down the factors of 244

:

1,2,4,61,122,244

Now, list down the factors of 628

:

1,2,4,157,314,628

Greatest Common Factor

We found the factors 244,628 . The biggest common factor number is the GCF number.
So the greatest common factor 244,628 is 4.

Lets's calculate LCM of 806,223

Lowest Common Multiple of 806,223 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 179738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/179738

Therefore, the GCF of Fractions 244/806,628/223 is 4/179738

Least Common Multiple of 806,223 with GCF Formula

Least Common Multiple of 806,223 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 806,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,223) = 1

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

GCF(806,223) x common factors =1 x 1 = 1

LCM(806,223) = ( 806 × 223 ) / 1

LCM(806,223) = 179738 / 1

LCM(806,223) = 179738


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FAQs on GCF of Fractions of 244/806, 628/223

1. What is the HCF of 244,628?

The HCF of 244,628 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 244/806, 628/223?

Answer: GCF of Numerators as per given numbers 244/806, 628/223 is

GCF of Numerators i.e. for 244,628 is 4

LCM of denominators i.e. for 806,223 is 179738.

Thus, GCF of Fractions is 4/179738.Finally, GCF of Fractions for 244/806, 628/223 is 4/179738.