GCF of 2266/392, 2232/6394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2266/392, 2232/6394 i.e 2/1253224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2266/392, 2232/6394.
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 2266/392,2232/6394?
Given fractions are 2266/392,2232/6394
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 2266/392,2232/6394, numerators are 2266,2232
Denominators are 392,6394
The GCF of 2266,2232 is 2 .
LCM of 392,6394 is 1253224.
The greatest common factor of 2266/392,2232/6394 = [GCF of 2266,2232]/[LCM of 392,6394]= 2/1253224
Therefore, the GCF of 2266/392,2232/6394 is 2/1253224.
To find the highest common factor of 2266,2232, we have to find the factors of both numbers and list the highest common factor.
The factors of 2266 are 1, 2, 11, 22, 103, 206, 1133, 2266
The factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232
The HCF of 2266,2232 is 2.
Lets's calculate GCF of 2266,2232
| 2 | 2266, 2232 |
| 1133, 1116 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2266,2232 By Matching Biggest Common Factor Method
Now, list down the factors of 2266
:1,2,11,22,103,206,1133,2266
Now, list down the factors of 2232
:1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232
Greatest Common Factor
We found the factors 2266,2232 . The biggest common factor number is the GCF number.
So the greatest common factor 2266,2232 is 2.
Lets's calculate LCM of 392,6394
| 2 | 392, 6394 |
| 196, 3197 |
∴ So the LCM of the given numbers is 2 x 196 x 3197 = 1253224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1253224
Therefore, the GCF of Fractions 2266/392,2232/6394 is 2/1253224
Least Common Multiple of 392,6394 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 392,6394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,6394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(392,6394) x common factors =2 x 1 = 2
LCM(392,6394) = ( 392 × 6394 ) / 2
LCM(392,6394) = 2506448 / 2
LCM(392,6394) = 1253224
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FAQs on GCF of Fractions of 2266/392, 2232/6394
1. What is the HCF of 2266,2232?
The HCF of 2266,2232 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 2266/392, 2232/6394?
Answer: GCF of Numerators as per given numbers 2266/392, 2232/6394 is
GCF of Numerators i.e. for 2266,2232 is 2
LCM of denominators i.e. for 392,6394 is 1253224.
Thus, GCF of Fractions is 2/1253224.Finally, GCF of Fractions for 2266/392, 2232/6394 is 2/1253224.