GCF of 3606/997, 7830/8257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3606/997, 7830/8257 i.e 6/8232229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3606/997, 7830/8257.
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 3606/997,7830/8257?
Given fractions are 3606/997,7830/8257
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 3606/997,7830/8257, numerators are 3606,7830
Denominators are 997,8257
The GCF of 3606,7830 is 6 .
LCM of 997,8257 is 8232229.
The greatest common factor of 3606/997,7830/8257 = [GCF of 3606,7830]/[LCM of 997,8257]= 6/8232229
Therefore, the GCF of 3606/997,7830/8257 is 6/8232229.
To find the highest common factor of 3606,7830, we have to find the factors of both numbers and list the highest common factor.
The factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606
The factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830
The HCF of 3606,7830 is 6.
Lets's calculate GCF of 3606,7830
| 2 | 3606, 7830 |
| 3 | 1803, 3915 |
| 601, 1305 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3606,7830 By Matching Biggest Common Factor Method
Now, list down the factors of 3606
:1,2,3,6,601,1202,1803,3606
Now, list down the factors of 7830
:1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830
Greatest Common Factor
We found the factors 3606,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 3606,7830 is 6.
Lets's calculate LCM of 997,8257
Given numbers has no common factors except 1. So, there LCM is their product i.e 8232229
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8232229
Therefore, the GCF of Fractions 3606/997,7830/8257 is 6/8232229
Least Common Multiple of 997,8257 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 997,8257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,8257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,8257) x common factors =1 x 1 = 1
LCM(997,8257) = ( 997 × 8257 ) / 1
LCM(997,8257) = 8232229 / 1
LCM(997,8257) = 8232229
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FAQs on GCF of Fractions of 3606/997, 7830/8257
1. What is the HCF of 3606,7830?
The HCF of 3606,7830 is 6
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 3606/997, 7830/8257?
Answer: GCF of Numerators as per given numbers 3606/997, 7830/8257 is
GCF of Numerators i.e. for 3606,7830 is 6
LCM of denominators i.e. for 997,8257 is 8232229.
Thus, GCF of Fractions is 6/8232229.Finally, GCF of Fractions for 3606/997, 7830/8257 is 6/8232229.