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GCF of 886/40, 942/579

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 886/40, 942/579 i.e 2/23160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/40, 942/579.

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 886/40,942/579?

Given fractions are 886/40,942/579

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 886/40,942/579, numerators are 886,942

Denominators are 40,579

The GCF of 886,942 is 2 .

LCM of 40,579 is 23160.

The greatest common factor of 886/40,942/579 = [GCF of 886,942]/[LCM of 40,579]= 2/23160

Therefore, the GCF of 886/40,942/579 is 2/23160.

Greatest Common Factor of 886,942

To find the highest common factor of 886,942, we have to find the factors of both numbers and list the highest common factor.

The factors of 886 are 1, 2, 443, 886

The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942

The HCF of 886,942 is 2.

Lets's calculate GCF of 886,942

Greatest Common Factor (GCF) of 886,942 By Common Division

2 886, 942
443, 471

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

Greatest Common Factor of 886,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,942 By Matching Biggest Common Factor Method

Now, list down the factors of 886

:

1,2,443,886

Now, list down the factors of 942

:

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 886,942 . The biggest common factor number is the GCF number.
So the greatest common factor 886,942 is 2.

Lets's calculate LCM of 40,579

Lowest Common Multiple of 40,579 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23160

Therefore, the GCF of Fractions 886/40,942/579 is 2/23160

Least Common Multiple of 40,579 with GCF Formula

Least Common Multiple of 40,579 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 40,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,579) = 1

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

GCF(40,579) x common factors =1 x 1 = 1

LCM(40,579) = ( 40 × 579 ) / 1

LCM(40,579) = 23160 / 1

LCM(40,579) = 23160


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 886/40, 942/579

1. What is the HCF of 886,942?

The HCF of 886,942 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 886/40, 942/579?

Answer: GCF of Numerators as per given numbers 886/40, 942/579 is

GCF of Numerators i.e. for 886,942 is 2

LCM of denominators i.e. for 40,579 is 23160.

Thus, GCF of Fractions is 2/23160.Finally, GCF of Fractions for 886/40, 942/579 is 2/23160.