GCF of 4352/207, 8266/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4352/207, 8266/612 i.e 2/14076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4352/207, 8266/612.
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 4352/207,8266/612?
Given fractions are 4352/207,8266/612
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 4352/207,8266/612, numerators are 4352,8266
Denominators are 207,612
The GCF of 4352,8266 is 2 .
LCM of 207,612 is 14076.
The greatest common factor of 4352/207,8266/612 = [GCF of 4352,8266]/[LCM of 207,612]= 2/14076
Therefore, the GCF of 4352/207,8266/612 is 2/14076.
To find the highest common factor of 4352,8266, we have to find the factors of both numbers and list the highest common factor.
The factors of 4352 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352
The factors of 8266 are 1, 2, 4133, 8266
The HCF of 4352,8266 is 2.
Lets's calculate GCF of 4352,8266
| 2 | 4352, 8266 |
| 2176, 4133 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4352,8266 By Matching Biggest Common Factor Method
Now, list down the factors of 4352
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,544,1088,2176,4352
Now, list down the factors of 8266
:1,2,4133,8266
Greatest Common Factor
We found the factors 4352,8266 . The biggest common factor number is the GCF number.
So the greatest common factor 4352,8266 is 2.
Lets's calculate LCM of 207,612
| 3 | 207, 612 |
| 3 | 69, 204 |
| 23, 68 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 68 = 14076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14076
Therefore, the GCF of Fractions 4352/207,8266/612 is 2/14076
Least Common Multiple of 207,612 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 207,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,612) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(207,612) x common factors =9 x 1 = 9
LCM(207,612) = ( 207 × 612 ) / 9
LCM(207,612) = 126684 / 9
LCM(207,612) = 14076
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FAQs on GCF of Fractions of 4352/207, 8266/612
1. What is the HCF of 4352,8266?
The HCF of 4352,8266 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 4352/207, 8266/612?
Answer: GCF of Numerators as per given numbers 4352/207, 8266/612 is
GCF of Numerators i.e. for 4352,8266 is 2
LCM of denominators i.e. for 207,612 is 14076.
Thus, GCF of Fractions is 2/14076.Finally, GCF of Fractions for 4352/207, 8266/612 is 2/14076.