How to Find GCF of 14/91, 447/31, 352/867?

GCF of 14/91, 447/31, 352/867

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 14/91, 447/31, 352/867 i.e 1/2445807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/91, 447/31, 352/867.

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 14/91,447/31,352/867?

Given fractions are 14/91,447/31,352/867

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 14/91,447/31,352/867, numerators are 14,447,352

Denominators are 91,31,867

The GCF of 14,447,352 is 1 .

LCM of 91,31,867 is 2445807.

The greatest common factor of 14/91,447/31,352/867 = [GCF of 14,447,352]/[LCM of 91,31,867]= 1/2445807

Therefore, the GCF of 14/91,447/31,352/867 is 1/2445807.

Greatest Common Factor of 14,447,352

To find the highest common factor of 14,447,352, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

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

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The HCF of 14,447,352 is 1.

Lets's calculate GCF of 14,447,352

Greatest Common Factor (GCF) of 14,447,352 By Common Division

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

Greatest Common Factor of 14,447,352 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 447

1,3,149,447

Now, list down the factors of 352

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 14,447,352 . The biggest common factor number is the GCF number.
So the greatest common factor 14,447,352 is 1.

Lets's calculate LCM of 91,31,867

Lowest Common Multiple of 91,31,867 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2445807

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2445807

Therefore, the GCF of Fractions 14/91,447/31,352/867 is 1/2445807

Least Common Multiple of 91,31,867 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 91,31,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,31,867) = 1

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

GCF(91,31,867) x common factors =1 x 1 = 1

LCM(91,31,867) = ( 91 × 31 × 867 ) / 1

LCM(91,31,867) = 2445807 / 1

LCM(91,31,867) = 2445807

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/91, 447/31, 352/867

1. What is the HCF of 14,447,352?

The HCF of 14,447,352 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 14/91, 447/31, 352/867?

Answer: GCF of Numerators as per given numbers 14/91, 447/31, 352/867 is

GCF of Numerators i.e. for 14,447,352 is 1

LCM of denominators i.e. for 91,31,867 is 2445807.

Thus, GCF of Fractions is 1/2445807.Finally, GCF of Fractions for 14/91, 447/31, 352/867 is 1/2445807.