GCF of 9010/966, 6475/231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9010/966, 6475/231 i.e 5/10626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9010/966, 6475/231.
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 9010/966,6475/231?
Given fractions are 9010/966,6475/231
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 9010/966,6475/231, numerators are 9010,6475
Denominators are 966,231
The GCF of 9010,6475 is 5 .
LCM of 966,231 is 10626.
The greatest common factor of 9010/966,6475/231 = [GCF of 9010,6475]/[LCM of 966,231]= 5/10626
Therefore, the GCF of 9010/966,6475/231 is 5/10626.
To find the highest common factor of 9010,6475, we have to find the factors of both numbers and list the highest common factor.
The factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010
The factors of 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475
The HCF of 9010,6475 is 5.
Lets's calculate GCF of 9010,6475
| 5 | 9010, 6475 |
| 1802, 1295 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9010,6475 By Matching Biggest Common Factor Method
Now, list down the factors of 9010
:1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010
Now, list down the factors of 6475
:1,5,7,25,35,37,175,185,259,925,1295,6475
Greatest Common Factor
We found the factors 9010,6475 . The biggest common factor number is the GCF number.
So the greatest common factor 9010,6475 is 5.
Lets's calculate LCM of 966,231
| 3 | 966, 231 |
| 7 | 322, 77 |
| 46, 11 |
∴ So the LCM of the given numbers is 3 x 7 x 46 x 11 = 10626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/10626
Therefore, the GCF of Fractions 9010/966,6475/231 is 5/10626
Least Common Multiple of 966,231 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 966,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,231) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(966,231) x common factors =21 x 1 = 21
LCM(966,231) = ( 966 × 231 ) / 21
LCM(966,231) = 223146 / 21
LCM(966,231) = 10626
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FAQs on GCF of Fractions of 9010/966, 6475/231
1. What is the HCF of 9010,6475?
The HCF of 9010,6475 is 5
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 9010/966, 6475/231?
Answer: GCF of Numerators as per given numbers 9010/966, 6475/231 is
GCF of Numerators i.e. for 9010,6475 is 5
LCM of denominators i.e. for 966,231 is 10626.
Thus, GCF of Fractions is 5/10626.Finally, GCF of Fractions for 9010/966, 6475/231 is 5/10626.