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GCF of 422/945, 508/806

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 422/945, 508/806 i.e 2/761670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 422/945, 508/806.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 422/945,508/806?

Given fractions are 422/945,508/806

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 422/945,508/806, numerators are 422,508

Denominators are 945,806

The GCF of 422,508 is 2 .

LCM of 945,806 is 761670.

The greatest common factor of 422/945,508/806 = [GCF of 422,508]/[LCM of 945,806]= 2/761670

Therefore, the GCF of 422/945,508/806 is 2/761670.

Greatest Common Factor of 422,508

To find the highest common factor of 422,508, we have to find the factors of both numbers and list the highest common factor.

The factors of 422 are 1, 2, 211, 422

The factors of 508 are 1, 2, 4, 127, 254, 508

The HCF of 422,508 is 2.

Lets's calculate GCF of 422,508

Greatest Common Factor (GCF) of 422,508 By Common Division

2 422, 508
211, 254

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 422,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,508 By Matching Biggest Common Factor Method

Now, list down the factors of 422

:

1,2,211,422

Now, list down the factors of 508

:

1,2,4,127,254,508

Greatest Common Factor

We found the factors 422,508 . The biggest common factor number is the GCF number.
So the greatest common factor 422,508 is 2.

Lets's calculate LCM of 945,806

Lowest Common Multiple of 945,806 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 761670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/761670

Therefore, the GCF of Fractions 422/945,508/806 is 2/761670

Least Common Multiple of 945,806 with GCF Formula

Least Common Multiple of 945,806 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 945,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,806) = 1

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

GCF(945,806) x common factors =1 x 1 = 1

LCM(945,806) = ( 945 × 806 ) / 1

LCM(945,806) = 761670 / 1

LCM(945,806) = 761670


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FAQs on GCF of Fractions of 422/945, 508/806

1. What is the HCF of 422,508?

The HCF of 422,508 is 2

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 422/945, 508/806?

Answer: GCF of Numerators as per given numbers 422/945, 508/806 is

GCF of Numerators i.e. for 422,508 is 2

LCM of denominators i.e. for 945,806 is 761670.

Thus, GCF of Fractions is 2/761670.Finally, GCF of Fractions for 422/945, 508/806 is 2/761670.