GCF of 8667/763, 2280/8106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8667/763, 2280/8106 i.e 3/883554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8667/763, 2280/8106.
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 8667/763,2280/8106?
Given fractions are 8667/763,2280/8106
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 8667/763,2280/8106, numerators are 8667,2280
Denominators are 763,8106
The GCF of 8667,2280 is 3 .
LCM of 763,8106 is 883554.
The greatest common factor of 8667/763,2280/8106 = [GCF of 8667,2280]/[LCM of 763,8106]= 3/883554
Therefore, the GCF of 8667/763,2280/8106 is 3/883554.
To find the highest common factor of 8667,2280, we have to find the factors of both numbers and list the highest common factor.
The factors of 8667 are 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667
The factors of 2280 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280
The HCF of 8667,2280 is 3.
Lets's calculate GCF of 8667,2280
| 3 | 8667, 2280 |
| 2889, 760 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8667,2280 By Matching Biggest Common Factor Method
Now, list down the factors of 8667
:1,3,9,27,81,107,321,963,2889,8667
Now, list down the factors of 2280
:1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280
Greatest Common Factor
We found the factors 8667,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 8667,2280 is 3.
Lets's calculate LCM of 763,8106
| 7 | 763, 8106 |
| 109, 1158 |
∴ So the LCM of the given numbers is 7 x 109 x 1158 = 883554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/883554
Therefore, the GCF of Fractions 8667/763,2280/8106 is 3/883554
Least Common Multiple of 763,8106 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 763,8106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,8106) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(763,8106) x common factors =7 x 1 = 7
LCM(763,8106) = ( 763 × 8106 ) / 7
LCM(763,8106) = 6184878 / 7
LCM(763,8106) = 883554
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FAQs on GCF of Fractions of 8667/763, 2280/8106
1. What is the HCF of 8667,2280?
The HCF of 8667,2280 is 3
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 8667/763, 2280/8106?
Answer: GCF of Numerators as per given numbers 8667/763, 2280/8106 is
GCF of Numerators i.e. for 8667,2280 is 3
LCM of denominators i.e. for 763,8106 is 883554.
Thus, GCF of Fractions is 3/883554.Finally, GCF of Fractions for 8667/763, 2280/8106 is 3/883554.