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GCF of 447/314, 411/954

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 447/314, 411/954 i.e 3/149778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 447/314, 411/954.

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 447/314,411/954?

Given fractions are 447/314,411/954

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 447/314,411/954, numerators are 447,411

Denominators are 314,954

The GCF of 447,411 is 3 .

LCM of 314,954 is 149778.

The greatest common factor of 447/314,411/954 = [GCF of 447,411]/[LCM of 314,954]= 3/149778

Therefore, the GCF of 447/314,411/954 is 3/149778.

Greatest Common Factor of 447,411

To find the highest common factor of 447,411, we have to find the factors of both numbers and list the highest common factor.

The factors of 447 are 1, 3, 149, 447

The factors of 411 are 1, 3, 137, 411

The HCF of 447,411 is 3.

Lets's calculate GCF of 447,411

Greatest Common Factor (GCF) of 447,411 By Common Division

3 447, 411
149, 137

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 447,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,411 By Matching Biggest Common Factor Method

Now, list down the factors of 447

:

1,3,149,447

Now, list down the factors of 411

:

1,3,137,411

Greatest Common Factor

We found the factors 447,411 . The biggest common factor number is the GCF number.
So the greatest common factor 447,411 is 3.


Lets's calculate LCM of 314,954

Lowest Common Multiple of 314,954 using Common Division

2 314, 954
157, 477

∴ So the LCM of the given numbers is 2 x 157 x 477 = 149778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149778

Therefore, the GCF of Fractions 447/314,411/954 is 3/149778

Least Common Multiple of 314,954 with GCF Formula

Least Common Multiple of 314,954 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 314,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,954) = 2

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

GCF(314,954) x common factors =2 x 1 = 2

LCM(314,954) = ( 314 × 954 ) / 2

LCM(314,954) = 299556 / 2

LCM(314,954) = 149778


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 447/314, 411/954

1. What is the HCF of 447,411?

The HCF of 447,411 is 3

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 447/314, 411/954?

Answer: GCF of Numerators as per given numbers 447/314, 411/954 is

GCF of Numerators i.e. for 447,411 is 3

LCM of denominators i.e. for 314,954 is 149778.

Thus, GCF of Fractions is 3/149778.Finally, GCF of Fractions for 447/314, 411/954 is 3/149778.