GCF of 6030/359, 1166/8109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6030/359, 1166/8109 i.e 2/2911131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6030/359, 1166/8109.
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 6030/359,1166/8109?
Given fractions are 6030/359,1166/8109
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 6030/359,1166/8109, numerators are 6030,1166
Denominators are 359,8109
The GCF of 6030,1166 is 2 .
LCM of 359,8109 is 2911131.
The greatest common factor of 6030/359,1166/8109 = [GCF of 6030,1166]/[LCM of 359,8109]= 2/2911131
Therefore, the GCF of 6030/359,1166/8109 is 2/2911131.
To find the highest common factor of 6030,1166, we have to find the factors of both numbers and list the highest common factor.
The factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030
The factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166
The HCF of 6030,1166 is 2.
Lets's calculate GCF of 6030,1166
| 2 | 6030, 1166 |
| 3015, 583 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6030,1166 By Matching Biggest Common Factor Method
Now, list down the factors of 6030
:1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030
Now, list down the factors of 1166
:1,2,11,22,53,106,583,1166
Greatest Common Factor
We found the factors 6030,1166 . The biggest common factor number is the GCF number.
So the greatest common factor 6030,1166 is 2.
Lets's calculate LCM of 359,8109
Given numbers has no common factors except 1. So, there LCM is their product i.e 2911131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2911131
Therefore, the GCF of Fractions 6030/359,1166/8109 is 2/2911131
Least Common Multiple of 359,8109 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 359,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,8109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,8109) x common factors =1 x 1 = 1
LCM(359,8109) = ( 359 × 8109 ) / 1
LCM(359,8109) = 2911131 / 1
LCM(359,8109) = 2911131
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FAQs on GCF of Fractions of 6030/359, 1166/8109
1. What is the HCF of 6030,1166?
The HCF of 6030,1166 is 2
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 6030/359, 1166/8109?
Answer: GCF of Numerators as per given numbers 6030/359, 1166/8109 is
GCF of Numerators i.e. for 6030,1166 is 2
LCM of denominators i.e. for 359,8109 is 2911131.
Thus, GCF of Fractions is 2/2911131.Finally, GCF of Fractions for 6030/359, 1166/8109 is 2/2911131.