How to Find GCF of 894/978, 4042/226?

GCF of 894/978, 4042/226

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 894/978, 4042/226 i.e 2/110514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 894/978, 4042/226.

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 894/978,4042/226?

Given fractions are 894/978,4042/226

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 894/978,4042/226, numerators are 894,4042

Denominators are 978,226

The GCF of 894,4042 is 2 .

LCM of 978,226 is 110514.

The greatest common factor of 894/978,4042/226 = [GCF of 894,4042]/[LCM of 978,226]= 2/110514

Therefore, the GCF of 894/978,4042/226 is 2/110514.

Greatest Common Factor of 894,4042

To find the highest common factor of 894,4042, we have to find the factors of both numbers and list the highest common factor.

The factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894

The factors of 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042

The HCF of 894,4042 is 2.

Lets's calculate GCF of 894,4042

Greatest Common Factor (GCF) of 894,4042 By Common Division

2	894, 4042
	447, 2021

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

Greatest Common Factor of 894,4042 By Matching Biggest Common Factor Method

Now, list down the factors of 894

1,2,3,6,149,298,447,894

Now, list down the factors of 4042

1,2,43,47,86,94,2021,4042

Greatest Common Factor

We found the factors 894,4042 . The biggest common factor number is the GCF number.
So the greatest common factor 894,4042 is 2.

Lets's calculate LCM of 978,226

Lowest Common Multiple of 978,226 using Common Division

2	978, 226
	489, 113

∴ So the LCM of the given numbers is 2 x 489 x 113 = 110514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110514

Therefore, the GCF of Fractions 894/978,4042/226 is 2/110514

Least Common Multiple of 978,226 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 978,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,226) = 2

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

GCF(978,226) x common factors =2 x 1 = 2

LCM(978,226) = ( 978 × 226 ) / 2

LCM(978,226) = 221028 / 2

LCM(978,226) = 110514

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 894/978, 4042/226

1. What is the HCF of 894,4042?

The HCF of 894,4042 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 894/978, 4042/226?

Answer: GCF of Numerators as per given numbers 894/978, 4042/226 is

GCF of Numerators i.e. for 894,4042 is 2

LCM of denominators i.e. for 978,226 is 110514.

Thus, GCF of Fractions is 2/110514.Finally, GCF of Fractions for 894/978, 4042/226 is 2/110514.