GCF of 3650/869, 3280/5808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3650/869, 3280/5808 i.e 10/458832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3650/869, 3280/5808.
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 3650/869,3280/5808?
Given fractions are 3650/869,3280/5808
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 3650/869,3280/5808, numerators are 3650,3280
Denominators are 869,5808
The GCF of 3650,3280 is 10 .
LCM of 869,5808 is 458832.
The greatest common factor of 3650/869,3280/5808 = [GCF of 3650,3280]/[LCM of 869,5808]= 10/458832
Therefore, the GCF of 3650/869,3280/5808 is 10/458832.
To find the highest common factor of 3650,3280, we have to find the factors of both numbers and list the highest common factor.
The factors of 3650 are 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650
The factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280
The HCF of 3650,3280 is 10.
Lets's calculate GCF of 3650,3280
| 2 | 3650, 3280 |
| 5 | 1825, 1640 |
| 365, 328 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3650,3280 By Matching Biggest Common Factor Method
Now, list down the factors of 3650
:1,2,5,10,25,50,73,146,365,730,1825,3650
Now, list down the factors of 3280
:1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280
Greatest Common Factor
We found the factors 3650,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 3650,3280 is 10.
Lets's calculate LCM of 869,5808
| 11 | 869, 5808 |
| 79, 528 |
∴ So the LCM of the given numbers is 11 x 79 x 528 = 458832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/458832
Therefore, the GCF of Fractions 3650/869,3280/5808 is 10/458832
Least Common Multiple of 869,5808 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 869,5808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,5808) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(869,5808) x common factors =11 x 1 = 11
LCM(869,5808) = ( 869 × 5808 ) / 11
LCM(869,5808) = 5047152 / 11
LCM(869,5808) = 458832
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FAQs on GCF of Fractions of 3650/869, 3280/5808
1. What is the HCF of 3650,3280?
The HCF of 3650,3280 is 10
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 3650/869, 3280/5808?
Answer: GCF of Numerators as per given numbers 3650/869, 3280/5808 is
GCF of Numerators i.e. for 3650,3280 is 10
LCM of denominators i.e. for 869,5808 is 458832.
Thus, GCF of Fractions is 10/458832.Finally, GCF of Fractions for 3650/869, 3280/5808 is 10/458832.