How to Find GCF of 469/412, 6422/939?

GCF of 469/412, 6422/939

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 469/412, 6422/939 i.e 1/386868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 469/412, 6422/939.

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 469/412,6422/939?

Given fractions are 469/412,6422/939

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 469/412,6422/939, numerators are 469,6422

Denominators are 412,939

The GCF of 469,6422 is 1 .

LCM of 412,939 is 386868.

The greatest common factor of 469/412,6422/939 = [GCF of 469,6422]/[LCM of 412,939]= 1/386868

Therefore, the GCF of 469/412,6422/939 is 1/386868.

Greatest Common Factor of 469,6422

To find the highest common factor of 469,6422, we have to find the factors of both numbers and list the highest common factor.

The factors of 469 are 1, 7, 67, 469

The factors of 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422

The HCF of 469,6422 is 1.

Lets's calculate GCF of 469,6422

Greatest Common Factor (GCF) of 469,6422 By Common Division

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

Greatest Common Factor of 469,6422 By Matching Biggest Common Factor Method

Now, list down the factors of 469

1,7,67,469

Now, list down the factors of 6422

1,2,13,19,26,38,169,247,338,494,3211,6422

Greatest Common Factor

We found the factors 469,6422 . The biggest common factor number is the GCF number.
So the greatest common factor 469,6422 is 1.

Lets's calculate LCM of 412,939

Lowest Common Multiple of 412,939 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 386868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386868

Therefore, the GCF of Fractions 469/412,6422/939 is 1/386868

Least Common Multiple of 412,939 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 412,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,939) = 1

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

GCF(412,939) x common factors =1 x 1 = 1

LCM(412,939) = ( 412 × 939 ) / 1

LCM(412,939) = 386868 / 1

LCM(412,939) = 386868

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FAQs on GCF of Fractions of 469/412, 6422/939

1. What is the HCF of 469,6422?

The HCF of 469,6422 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 469/412, 6422/939?

Answer: GCF of Numerators as per given numbers 469/412, 6422/939 is

GCF of Numerators i.e. for 469,6422 is 1

LCM of denominators i.e. for 412,939 is 386868.

Thus, GCF of Fractions is 1/386868.Finally, GCF of Fractions for 469/412, 6422/939 is 1/386868.