GCF of 6060/740, 9168/3969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6060/740, 9168/3969 i.e 12/2937060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6060/740, 9168/3969.
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 6060/740,9168/3969?
Given fractions are 6060/740,9168/3969
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 6060/740,9168/3969, numerators are 6060,9168
Denominators are 740,3969
The GCF of 6060,9168 is 12 .
LCM of 740,3969 is 2937060.
The greatest common factor of 6060/740,9168/3969 = [GCF of 6060,9168]/[LCM of 740,3969]= 12/2937060
Therefore, the GCF of 6060/740,9168/3969 is 12/2937060.
To find the highest common factor of 6060,9168, we have to find the factors of both numbers and list the highest common factor.
The factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060
The factors of 9168 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 9168
The HCF of 6060,9168 is 12.
Lets's calculate GCF of 6060,9168
| 2 | 6060, 9168 |
| 2 | 3030, 4584 |
| 3 | 1515, 2292 |
| 505, 764 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6060,9168 By Matching Biggest Common Factor Method
Now, list down the factors of 6060
:1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060
Now, list down the factors of 9168
:1,2,3,4,6,8,12,16,24,48,191,382,573,764,1146,1528,2292,3056,4584,9168
Greatest Common Factor
We found the factors 6060,9168 . The biggest common factor number is the GCF number.
So the greatest common factor 6060,9168 is 12.
Lets's calculate LCM of 740,3969
Given numbers has no common factors except 1. So, there LCM is their product i.e 2937060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2937060
Therefore, the GCF of Fractions 6060/740,9168/3969 is 12/2937060
Least Common Multiple of 740,3969 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 740,3969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,3969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,3969) x common factors =1 x 1 = 1
LCM(740,3969) = ( 740 × 3969 ) / 1
LCM(740,3969) = 2937060 / 1
LCM(740,3969) = 2937060
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FAQs on GCF of Fractions of 6060/740, 9168/3969
1. What is the HCF of 6060,9168?
The HCF of 6060,9168 is 12
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 6060/740, 9168/3969?
Answer: GCF of Numerators as per given numbers 6060/740, 9168/3969 is
GCF of Numerators i.e. for 6060,9168 is 12
LCM of denominators i.e. for 740,3969 is 2937060.
Thus, GCF of Fractions is 12/2937060.Finally, GCF of Fractions for 6060/740, 9168/3969 is 12/2937060.