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GCF of 855/978, 722/203

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 855/978, 722/203 i.e 19/198534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 855/978, 722/203.

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 855/978,722/203?

Given fractions are 855/978,722/203

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 855/978,722/203, numerators are 855,722

Denominators are 978,203

The GCF of 855,722 is 19 .

LCM of 978,203 is 198534.

The greatest common factor of 855/978,722/203 = [GCF of 855,722]/[LCM of 978,203]= 19/198534

Therefore, the GCF of 855/978,722/203 is 19/198534.

Greatest Common Factor of 855,722

To find the highest common factor of 855,722, we have to find the factors of both numbers and list the highest common factor.

The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

The factors of 722 are 1, 2, 19, 38, 361, 722

The HCF of 855,722 is 19.

Lets's calculate GCF of 855,722

Greatest Common Factor (GCF) of 855,722 By Common Division

19 855, 722
45, 38

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 855,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,722 By Matching Biggest Common Factor Method

Now, list down the factors of 855

:

1,3,5,9,15,19,45,57,95,171,285,855

Now, list down the factors of 722

:

1,2,19,38,361,722

Greatest Common Factor

We found the factors 855,722 . The biggest common factor number is the GCF number.
So the greatest common factor 855,722 is 19.

Lets's calculate LCM of 978,203

Lowest Common Multiple of 978,203 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 198534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/198534

Therefore, the GCF of Fractions 855/978,722/203 is 19/198534

Least Common Multiple of 978,203 with GCF Formula

Least Common Multiple of 978,203 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 978,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,203) = 1

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

GCF(978,203) x common factors =1 x 1 = 1

LCM(978,203) = ( 978 × 203 ) / 1

LCM(978,203) = 198534 / 1

LCM(978,203) = 198534


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 855/978, 722/203

1. What is the HCF of 855,722?

The HCF of 855,722 is 19

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 855/978, 722/203?

Answer: GCF of Numerators as per given numbers 855/978, 722/203 is

GCF of Numerators i.e. for 855,722 is 19

LCM of denominators i.e. for 978,203 is 198534.

Thus, GCF of Fractions is 19/198534.Finally, GCF of Fractions for 855/978, 722/203 is 19/198534.