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GCF of 858/360, 796/223

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 858/360, 796/223 i.e 2/80280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 858/360, 796/223.

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 858/360,796/223?

Given fractions are 858/360,796/223

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 858/360,796/223, numerators are 858,796

Denominators are 360,223

The GCF of 858,796 is 2 .

LCM of 360,223 is 80280.

The greatest common factor of 858/360,796/223 = [GCF of 858,796]/[LCM of 360,223]= 2/80280

Therefore, the GCF of 858/360,796/223 is 2/80280.

Greatest Common Factor of 858,796

To find the highest common factor of 858,796, we have to find the factors of both numbers and list the highest common factor.

The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

The factors of 796 are 1, 2, 4, 199, 398, 796

The HCF of 858,796 is 2.

Lets's calculate GCF of 858,796

Greatest Common Factor (GCF) of 858,796 By Common Division

2 858, 796
429, 398

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

Greatest Common Factor of 858,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,796 By Matching Biggest Common Factor Method

Now, list down the factors of 858

:

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Now, list down the factors of 796

:

1,2,4,199,398,796

Greatest Common Factor

We found the factors 858,796 . The biggest common factor number is the GCF number.
So the greatest common factor 858,796 is 2.

Lets's calculate LCM of 360,223

Lowest Common Multiple of 360,223 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 80280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80280

Therefore, the GCF of Fractions 858/360,796/223 is 2/80280

Least Common Multiple of 360,223 with GCF Formula

Least Common Multiple of 360,223 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 360,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,223) = 1

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

GCF(360,223) x common factors =1 x 1 = 1

LCM(360,223) = ( 360 × 223 ) / 1

LCM(360,223) = 80280 / 1

LCM(360,223) = 80280


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 858/360, 796/223

1. What is the HCF of 858,796?

The HCF of 858,796 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 858/360, 796/223?

Answer: GCF of Numerators as per given numbers 858/360, 796/223 is

GCF of Numerators i.e. for 858,796 is 2

LCM of denominators i.e. for 360,223 is 80280.

Thus, GCF of Fractions is 2/80280.Finally, GCF of Fractions for 858/360, 796/223 is 2/80280.