GCF of 4564/228, 8222/2166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4564/228, 8222/2166 i.e 2/4332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4564/228, 8222/2166.
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 4564/228,8222/2166?
Given fractions are 4564/228,8222/2166
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 4564/228,8222/2166, numerators are 4564,8222
Denominators are 228,2166
The GCF of 4564,8222 is 2 .
LCM of 228,2166 is 4332.
The greatest common factor of 4564/228,8222/2166 = [GCF of 4564,8222]/[LCM of 228,2166]= 2/4332
Therefore, the GCF of 4564/228,8222/2166 is 2/4332.
To find the highest common factor of 4564,8222, we have to find the factors of both numbers and list the highest common factor.
The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564
The factors of 8222 are 1, 2, 4111, 8222
The HCF of 4564,8222 is 2.
Lets's calculate GCF of 4564,8222
| 2 | 4564, 8222 |
| 2282, 4111 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4564,8222 By Matching Biggest Common Factor Method
Now, list down the factors of 4564
:1,2,4,7,14,28,163,326,652,1141,2282,4564
Now, list down the factors of 8222
:1,2,4111,8222
Greatest Common Factor
We found the factors 4564,8222 . The biggest common factor number is the GCF number.
So the greatest common factor 4564,8222 is 2.
Lets's calculate LCM of 228,2166
| 2 | 228, 2166 |
| 3 | 114, 1083 |
| 19 | 38, 361 |
| 2, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 2 x 19 = 4332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4332
Therefore, the GCF of Fractions 4564/228,8222/2166 is 2/4332
Least Common Multiple of 228,2166 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 228,2166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,2166) = 114
common factors(in case of two or more numbers have common factors) = 1
GCF(228,2166) x common factors =114 x 1 = 114
LCM(228,2166) = ( 228 × 2166 ) / 114
LCM(228,2166) = 493848 / 114
LCM(228,2166) = 4332
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FAQs on GCF of Fractions of 4564/228, 8222/2166
1. What is the HCF of 4564,8222?
The HCF of 4564,8222 is 2
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 4564/228, 8222/2166?
Answer: GCF of Numerators as per given numbers 4564/228, 8222/2166 is
GCF of Numerators i.e. for 4564,8222 is 2
LCM of denominators i.e. for 228,2166 is 4332.
Thus, GCF of Fractions is 2/4332.Finally, GCF of Fractions for 4564/228, 8222/2166 is 2/4332.