GCF of 5446/444, 8277/1908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5446/444, 8277/1908 i.e 1/70596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5446/444, 8277/1908.
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 5446/444,8277/1908?
Given fractions are 5446/444,8277/1908
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 5446/444,8277/1908, numerators are 5446,8277
Denominators are 444,1908
The GCF of 5446,8277 is 1 .
LCM of 444,1908 is 70596.
The greatest common factor of 5446/444,8277/1908 = [GCF of 5446,8277]/[LCM of 444,1908]= 1/70596
Therefore, the GCF of 5446/444,8277/1908 is 1/70596.
To find the highest common factor of 5446,8277, we have to find the factors of both numbers and list the highest common factor.
The factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446
The factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277
The HCF of 5446,8277 is 1.
Lets's calculate GCF of 5446,8277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5446,8277 By Matching Biggest Common Factor Method
Now, list down the factors of 5446
:1,2,7,14,389,778,2723,5446
Now, list down the factors of 8277
:1,3,31,89,93,267,2759,8277
Greatest Common Factor
We found the factors 5446,8277 . The biggest common factor number is the GCF number.
So the greatest common factor 5446,8277 is 1.
Lets's calculate LCM of 444,1908
| 2 | 444, 1908 |
| 2 | 222, 954 |
| 3 | 111, 477 |
| 37, 159 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 159 = 70596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70596
Therefore, the GCF of Fractions 5446/444,8277/1908 is 1/70596
Least Common Multiple of 444,1908 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 444,1908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,1908) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(444,1908) x common factors =12 x 1 = 12
LCM(444,1908) = ( 444 × 1908 ) / 12
LCM(444,1908) = 847152 / 12
LCM(444,1908) = 70596
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5446/444, 8277/1908
1. What is the HCF of 5446,8277?
The HCF of 5446,8277 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 5446/444, 8277/1908?
Answer: GCF of Numerators as per given numbers 5446/444, 8277/1908 is
GCF of Numerators i.e. for 5446,8277 is 1
LCM of denominators i.e. for 444,1908 is 70596.
Thus, GCF of Fractions is 1/70596.Finally, GCF of Fractions for 5446/444, 8277/1908 is 1/70596.