How to Find GCF of 56/616, 230/242, 161/404?

GCF of 56/616, 230/242, 161/404

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 56/616, 230/242, 161/404 i.e 1/684376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 56/616, 230/242, 161/404.

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 56/616,230/242,161/404?

Given fractions are 56/616,230/242,161/404

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 56/616,230/242,161/404, numerators are 56,230,161

Denominators are 616,242,404

The GCF of 56,230,161 is 1 .

LCM of 616,242,404 is 684376.

The greatest common factor of 56/616,230/242,161/404 = [GCF of 56,230,161]/[LCM of 616,242,404]= 1/684376

Therefore, the GCF of 56/616,230/242,161/404 is 1/684376.

Greatest Common Factor of 56,230,161

To find the highest common factor of 56,230,161, we have to find the factors of both numbers and list the highest common factor.

The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56

The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230

The factors of 161 are 1, 7, 23, 161

The HCF of 56,230,161 is 1.

Lets's calculate GCF of 56,230,161

Greatest Common Factor (GCF) of 56,230,161 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 56,230,161 By Matching Biggest Common Factor Method

Now, list down the factors of 56

1,2,4,7,8,14,28,56

Now, list down the factors of 230

1,2,5,10,23,46,115,230

Now, list down the factors of 161

1,7,23,161

Greatest Common Factor

We found the factors 56,230,161 . The biggest common factor number is the GCF number.
So the greatest common factor 56,230,161 is 1.

Lets's calculate LCM of 616,242,404

Lowest Common Multiple of 616,242,404 using Common Division

2	616, 242, 404
2	308, 121, 202
11	154, 121, 101
	14, 11, 101

∴ So the LCM of the given numbers is 2 x 2 x 11 x 14 x 11 x 101 = 684376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684376

Therefore, the GCF of Fractions 56/616,230/242,161/404 is 1/684376

Least Common Multiple of 616,242,404 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 616,242,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,242,404) = 2

common factors(in case of two or more numbers have common factors) = 44

GCF(616,242,404) x common factors =2 x 44 = 88

LCM(616,242,404) = ( 616 × 242 × 404 ) / 88

LCM(616,242,404) = 60225088 / 88

LCM(616,242,404) = 684376

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FAQs on GCF of Fractions of 56/616, 230/242, 161/404

1. What is the HCF of 56,230,161?

The HCF of 56,230,161 is 1

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 56/616, 230/242, 161/404?

Answer: GCF of Numerators as per given numbers 56/616, 230/242, 161/404 is

GCF of Numerators i.e. for 56,230,161 is 1

LCM of denominators i.e. for 616,242,404 is 684376.

Thus, GCF of Fractions is 1/684376.Finally, GCF of Fractions for 56/616, 230/242, 161/404 is 1/684376.