How to Find GCF of 455/38, 962/1414?

GCF of 455/38, 962/1414

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 455/38, 962/1414 i.e 13/26866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/38, 962/1414.

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 455/38,962/1414?

Given fractions are 455/38,962/1414

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 455/38,962/1414, numerators are 455,962

Denominators are 38,1414

The GCF of 455,962 is 13 .

LCM of 38,1414 is 26866.

The greatest common factor of 455/38,962/1414 = [GCF of 455,962]/[LCM of 38,1414]= 13/26866

Therefore, the GCF of 455/38,962/1414 is 13/26866.

Greatest Common Factor of 455,962

To find the highest common factor of 455,962, we have to find the factors of both numbers and list the highest common factor.

The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The HCF of 455,962 is 13.

Lets's calculate GCF of 455,962

Greatest Common Factor (GCF) of 455,962 By Common Division

13	455, 962
	35, 74

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 455,962 By Matching Biggest Common Factor Method

Now, list down the factors of 455

1,5,7,13,35,65,91,455

Now, list down the factors of 962

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 455,962 . The biggest common factor number is the GCF number.
So the greatest common factor 455,962 is 13.

Lets's calculate LCM of 38,1414

Lowest Common Multiple of 38,1414 using Common Division

2	38, 1414
	19, 707

∴ So the LCM of the given numbers is 2 x 19 x 707 = 26866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/26866

Therefore, the GCF of Fractions 455/38,962/1414 is 13/26866

Least Common Multiple of 38,1414 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 38,1414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,1414) = 2

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

GCF(38,1414) x common factors =2 x 1 = 2

LCM(38,1414) = ( 38 × 1414 ) / 2

LCM(38,1414) = 53732 / 2

LCM(38,1414) = 26866

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FAQs on GCF of Fractions of 455/38, 962/1414

1. What is the HCF of 455,962?

The HCF of 455,962 is 13

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 455/38, 962/1414?

Answer: GCF of Numerators as per given numbers 455/38, 962/1414 is

GCF of Numerators i.e. for 455,962 is 13

LCM of denominators i.e. for 38,1414 is 26866.

Thus, GCF of Fractions is 13/26866.Finally, GCF of Fractions for 455/38, 962/1414 is 13/26866.