GCF of 5327/447, 4550/666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5327/447, 4550/666 i.e 7/99234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5327/447, 4550/666.
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 5327/447,4550/666?
Given fractions are 5327/447,4550/666
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 5327/447,4550/666, numerators are 5327,4550
Denominators are 447,666
The GCF of 5327,4550 is 7 .
LCM of 447,666 is 99234.
The greatest common factor of 5327/447,4550/666 = [GCF of 5327,4550]/[LCM of 447,666]= 7/99234
Therefore, the GCF of 5327/447,4550/666 is 7/99234.
To find the highest common factor of 5327,4550, we have to find the factors of both numbers and list the highest common factor.
The factors of 5327 are 1, 7, 761, 5327
The factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550
The HCF of 5327,4550 is 7.
Lets's calculate GCF of 5327,4550
| 7 | 5327, 4550 |
| 761, 650 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5327,4550 By Matching Biggest Common Factor Method
Now, list down the factors of 5327
:1,7,761,5327
Now, list down the factors of 4550
:1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550
Greatest Common Factor
We found the factors 5327,4550 . The biggest common factor number is the GCF number.
So the greatest common factor 5327,4550 is 7.
Lets's calculate LCM of 447,666
| 3 | 447, 666 |
| 149, 222 |
∴ So the LCM of the given numbers is 3 x 149 x 222 = 99234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/99234
Therefore, the GCF of Fractions 5327/447,4550/666 is 7/99234
Least Common Multiple of 447,666 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 447,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,666) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,666) x common factors =3 x 1 = 3
LCM(447,666) = ( 447 × 666 ) / 3
LCM(447,666) = 297702 / 3
LCM(447,666) = 99234
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5327/447, 4550/666
1. What is the HCF of 5327,4550?
The HCF of 5327,4550 is 7
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 5327/447, 4550/666?
Answer: GCF of Numerators as per given numbers 5327/447, 4550/666 is
GCF of Numerators i.e. for 5327,4550 is 7
LCM of denominators i.e. for 447,666 is 99234.
Thus, GCF of Fractions is 7/99234.Finally, GCF of Fractions for 5327/447, 4550/666 is 7/99234.