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GCF of 42/206, 3916/5494

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 42/206, 3916/5494 i.e 2/565882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/206, 3916/5494.

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 42/206,3916/5494?

Given fractions are 42/206,3916/5494

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 42/206,3916/5494, numerators are 42,3916

Denominators are 206,5494

The GCF of 42,3916 is 2 .

LCM of 206,5494 is 565882.

The greatest common factor of 42/206,3916/5494 = [GCF of 42,3916]/[LCM of 206,5494]= 2/565882

Therefore, the GCF of 42/206,3916/5494 is 2/565882.

Greatest Common Factor of 42,3916

To find the highest common factor of 42,3916, we have to find the factors of both numbers and list the highest common factor.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916

The HCF of 42,3916 is 2.

Lets's calculate GCF of 42,3916

Greatest Common Factor (GCF) of 42,3916 By Common Division

2 42, 3916
21, 1958

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

Greatest Common Factor of 42,3916 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,3916 By Matching Biggest Common Factor Method

Now, list down the factors of 42

:

1,2,3,6,7,14,21,42

Now, list down the factors of 3916

:

1,2,4,11,22,44,89,178,356,979,1958,3916

Greatest Common Factor

We found the factors 42,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3916 is 2.


Lets's calculate LCM of 206,5494

Lowest Common Multiple of 206,5494 using Common Division

2 206, 5494
103, 2747

∴ So the LCM of the given numbers is 2 x 103 x 2747 = 565882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/565882

Therefore, the GCF of Fractions 42/206,3916/5494 is 2/565882

Least Common Multiple of 206,5494 with GCF Formula

Least Common Multiple of 206,5494 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 206,5494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,5494) = 2

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

GCF(206,5494) x common factors =2 x 1 = 2

LCM(206,5494) = ( 206 × 5494 ) / 2

LCM(206,5494) = 1131764 / 2

LCM(206,5494) = 565882


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 42/206, 3916/5494

1. What is the HCF of 42,3916?

The HCF of 42,3916 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 42/206, 3916/5494?

Answer: GCF of Numerators as per given numbers 42/206, 3916/5494 is

GCF of Numerators i.e. for 42,3916 is 2

LCM of denominators i.e. for 206,5494 is 565882.

Thus, GCF of Fractions is 2/565882.Finally, GCF of Fractions for 42/206, 3916/5494 is 2/565882.