How to Find GCF of 56/892, 29/642, 118/323?

GCF of 56/892, 29/642, 118/323

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 56/892, 29/642, 118/323 i.e 1/92485236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 56/892, 29/642, 118/323.

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 56/892,29/642,118/323?

Given fractions are 56/892,29/642,118/323

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 56/892,29/642,118/323, numerators are 56,29,118

Denominators are 892,642,323

The GCF of 56,29,118 is 1 .

LCM of 892,642,323 is 92485236.

The greatest common factor of 56/892,29/642,118/323 = [GCF of 56,29,118]/[LCM of 892,642,323]= 1/92485236

Therefore, the GCF of 56/892,29/642,118/323 is 1/92485236.

Greatest Common Factor of 56,29,118

To find the highest common factor of 56,29,118, 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 29 are 1, 29

The factors of 118 are 1, 2, 59, 118

The HCF of 56,29,118 is 1.

Lets's calculate GCF of 56,29,118

Greatest Common Factor (GCF) of 56,29,118 By Common Division

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

Greatest Common Factor of 56,29,118 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 29

1,29

Now, list down the factors of 118

1,2,59,118

Greatest Common Factor

We found the factors 56,29,118 . The biggest common factor number is the GCF number.
So the greatest common factor 56,29,118 is 1.

Lets's calculate LCM of 892,642,323

Lowest Common Multiple of 892,642,323 using Common Division

2	892, 642, 323
	446, 321, 323

∴ So the LCM of the given numbers is 2 x 446 x 321 x 323 = 92485236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92485236

Therefore, the GCF of Fractions 56/892,29/642,118/323 is 1/92485236

Least Common Multiple of 892,642,323 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 892,642,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,642,323) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(892,642,323) x common factors =1 x 2 = 2

LCM(892,642,323) = ( 892 × 642 × 323 ) / 2

LCM(892,642,323) = 184970472 / 2

LCM(892,642,323) = 92485236

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FAQs on GCF of Fractions of 56/892, 29/642, 118/323

1. What is the HCF of 56,29,118?

The HCF of 56,29,118 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 56/892, 29/642, 118/323?

Answer: GCF of Numerators as per given numbers 56/892, 29/642, 118/323 is

GCF of Numerators i.e. for 56,29,118 is 1

LCM of denominators i.e. for 892,642,323 is 92485236.

Thus, GCF of Fractions is 1/92485236.Finally, GCF of Fractions for 56/892, 29/642, 118/323 is 1/92485236.