How to Find GCF of 4726/396, 4117/5916?

GCF of 4726/396, 4117/5916

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 4726/396, 4117/5916 i.e 1/195228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4726/396, 4117/5916.

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 4726/396,4117/5916?

Given fractions are 4726/396,4117/5916

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 4726/396,4117/5916, numerators are 4726,4117

Denominators are 396,5916

The GCF of 4726,4117 is 1 .

LCM of 396,5916 is 195228.

The greatest common factor of 4726/396,4117/5916 = [GCF of 4726,4117]/[LCM of 396,5916]= 1/195228

Therefore, the GCF of 4726/396,4117/5916 is 1/195228.

Greatest Common Factor of 4726,4117

To find the highest common factor of 4726,4117, we have to find the factors of both numbers and list the highest common factor.

The factors of 4726 are 1, 2, 17, 34, 139, 278, 2363, 4726

The factors of 4117 are 1, 23, 179, 4117

The HCF of 4726,4117 is 1.

Lets's calculate GCF of 4726,4117

Greatest Common Factor (GCF) of 4726,4117 By Common Division

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

Greatest Common Factor of 4726,4117 By Matching Biggest Common Factor Method

Now, list down the factors of 4726

1,2,17,34,139,278,2363,4726

Now, list down the factors of 4117

1,23,179,4117

Greatest Common Factor

We found the factors 4726,4117 . The biggest common factor number is the GCF number.
So the greatest common factor 4726,4117 is 1.

Lets's calculate LCM of 396,5916

Lowest Common Multiple of 396,5916 using Common Division

2	396, 5916
2	198, 2958
3	99, 1479
	33, 493

∴ So the LCM of the given numbers is 2 x 2 x 3 x 33 x 493 = 195228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195228

Therefore, the GCF of Fractions 4726/396,4117/5916 is 1/195228

Least Common Multiple of 396,5916 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 396,5916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,5916) = 12

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

GCF(396,5916) x common factors =12 x 1 = 12

LCM(396,5916) = ( 396 × 5916 ) / 12

LCM(396,5916) = 2342736 / 12

LCM(396,5916) = 195228

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FAQs on GCF of Fractions of 4726/396, 4117/5916

1. What is the HCF of 4726,4117?

The HCF of 4726,4117 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 4726/396, 4117/5916?

Answer: GCF of Numerators as per given numbers 4726/396, 4117/5916 is

GCF of Numerators i.e. for 4726,4117 is 1

LCM of denominators i.e. for 396,5916 is 195228.

Thus, GCF of Fractions is 1/195228.Finally, GCF of Fractions for 4726/396, 4117/5916 is 1/195228.