GCF of 4248/224, 2889/5922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4248/224, 2889/5922 i.e 9/94752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4248/224, 2889/5922.
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 4248/224,2889/5922?
Given fractions are 4248/224,2889/5922
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 4248/224,2889/5922, numerators are 4248,2889
Denominators are 224,5922
The GCF of 4248,2889 is 9 .
LCM of 224,5922 is 94752.
The greatest common factor of 4248/224,2889/5922 = [GCF of 4248,2889]/[LCM of 224,5922]= 9/94752
Therefore, the GCF of 4248/224,2889/5922 is 9/94752.
To find the highest common factor of 4248,2889, we have to find the factors of both numbers and list the highest common factor.
The factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248
The factors of 2889 are 1, 3, 9, 27, 107, 321, 963, 2889
The HCF of 4248,2889 is 9.
Lets's calculate GCF of 4248,2889
| 3 | 4248, 2889 |
| 3 | 1416, 963 |
| 472, 321 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4248,2889 By Matching Biggest Common Factor Method
Now, list down the factors of 4248
:1,2,3,4,6,8,9,12,18,24,36,59,72,118,177,236,354,472,531,708,1062,1416,2124,4248
Now, list down the factors of 2889
:1,3,9,27,107,321,963,2889
Greatest Common Factor
We found the factors 4248,2889 . The biggest common factor number is the GCF number.
So the greatest common factor 4248,2889 is 9.
Lets's calculate LCM of 224,5922
| 2 | 224, 5922 |
| 7 | 112, 2961 |
| 16, 423 |
∴ So the LCM of the given numbers is 2 x 7 x 16 x 423 = 94752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/94752
Therefore, the GCF of Fractions 4248/224,2889/5922 is 9/94752
Least Common Multiple of 224,5922 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 224,5922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,5922) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(224,5922) x common factors =14 x 1 = 14
LCM(224,5922) = ( 224 × 5922 ) / 14
LCM(224,5922) = 1326528 / 14
LCM(224,5922) = 94752
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4248/224, 2889/5922
1. What is the HCF of 4248,2889?
The HCF of 4248,2889 is 9
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 4248/224, 2889/5922?
Answer: GCF of Numerators as per given numbers 4248/224, 2889/5922 is
GCF of Numerators i.e. for 4248,2889 is 9
LCM of denominators i.e. for 224,5922 is 94752.
Thus, GCF of Fractions is 9/94752.Finally, GCF of Fractions for 4248/224, 2889/5922 is 9/94752.