GCF of 8602/907, 3366/231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8602/907, 3366/231 i.e 374/209517 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8602/907, 3366/231.
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 8602/907,3366/231?
Given fractions are 8602/907,3366/231
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 8602/907,3366/231, numerators are 8602,3366
Denominators are 907,231
The GCF of 8602,3366 is 374 .
LCM of 907,231 is 209517.
The greatest common factor of 8602/907,3366/231 = [GCF of 8602,3366]/[LCM of 907,231]= 374/209517
Therefore, the GCF of 8602/907,3366/231 is 374/209517.
To find the highest common factor of 8602,3366, we have to find the factors of both numbers and list the highest common factor.
The factors of 8602 are 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602
The factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366
The HCF of 8602,3366 is 374.
Lets's calculate GCF of 8602,3366
| 2 | 8602, 3366 |
| 11 | 4301, 1683 |
| 17 | 391, 153 |
| 23, 9 |
∴ So the GCF of the given numbers is 2 x 11 x 17 = 374
Greatest Common Factor of 8602,3366 By Matching Biggest Common Factor Method
Now, list down the factors of 8602
:1,2,11,17,22,23,34,46,187,253,374,391,506,782,4301,8602
Now, list down the factors of 3366
:1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366
Greatest Common Factor
We found the factors 8602,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 8602,3366 is 374.
Lets's calculate LCM of 907,231
Given numbers has no common factors except 1. So, there LCM is their product i.e 209517
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 374/209517
Therefore, the GCF of Fractions 8602/907,3366/231 is 374/209517
Least Common Multiple of 907,231 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 907,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,231) x common factors =1 x 1 = 1
LCM(907,231) = ( 907 × 231 ) / 1
LCM(907,231) = 209517 / 1
LCM(907,231) = 209517
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FAQs on GCF of Fractions of 8602/907, 3366/231
1. What is the HCF of 8602,3366?
The HCF of 8602,3366 is 374
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 8602/907, 3366/231?
Answer: GCF of Numerators as per given numbers 8602/907, 3366/231 is
GCF of Numerators i.e. for 8602,3366 is 374
LCM of denominators i.e. for 907,231 is 209517.
Thus, GCF of Fractions is 374/209517.Finally, GCF of Fractions for 8602/907, 3366/231 is 374/209517.