GCF of 867/522, 4223/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 867/522, 4223/952 i.e 1/248472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/522, 4223/952.
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 867/522,4223/952?
Given fractions are 867/522,4223/952
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 867/522,4223/952, numerators are 867,4223
Denominators are 522,952
The GCF of 867,4223 is 1 .
LCM of 522,952 is 248472.
The greatest common factor of 867/522,4223/952 = [GCF of 867,4223]/[LCM of 522,952]= 1/248472
Therefore, the GCF of 867/522,4223/952 is 1/248472.
To find the highest common factor of 867,4223, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 4223 are 1, 41, 103, 4223
The HCF of 867,4223 is 1.
Lets's calculate GCF of 867,4223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 867,4223 By Matching Biggest Common Factor Method
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 4223
:1,41,103,4223
Greatest Common Factor
We found the factors 867,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 867,4223 is 1.
Lets's calculate LCM of 522,952
| 2 | 522, 952 |
| 261, 476 |
∴ So the LCM of the given numbers is 2 x 261 x 476 = 248472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248472
Therefore, the GCF of Fractions 867/522,4223/952 is 1/248472
Least Common Multiple of 522,952 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 522,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,952) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,952) x common factors =2 x 1 = 2
LCM(522,952) = ( 522 × 952 ) / 2
LCM(522,952) = 496944 / 2
LCM(522,952) = 248472
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FAQs on GCF of Fractions of 867/522, 4223/952
1. What is the HCF of 867,4223?
The HCF of 867,4223 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 867/522, 4223/952?
Answer: GCF of Numerators as per given numbers 867/522, 4223/952 is
GCF of Numerators i.e. for 867,4223 is 1
LCM of denominators i.e. for 522,952 is 248472.
Thus, GCF of Fractions is 1/248472.Finally, GCF of Fractions for 867/522, 4223/952 is 1/248472.