GCF of 6090/101, 9805/7693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6090/101, 9805/7693 i.e 5/776993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6090/101, 9805/7693.
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 6090/101,9805/7693?
Given fractions are 6090/101,9805/7693
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 6090/101,9805/7693, numerators are 6090,9805
Denominators are 101,7693
The GCF of 6090,9805 is 5 .
LCM of 101,7693 is 776993.
The greatest common factor of 6090/101,9805/7693 = [GCF of 6090,9805]/[LCM of 101,7693]= 5/776993
Therefore, the GCF of 6090/101,9805/7693 is 5/776993.
To find the highest common factor of 6090,9805, we have to find the factors of both numbers and list the highest common factor.
The factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090
The factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805
The HCF of 6090,9805 is 5.
Lets's calculate GCF of 6090,9805
| 5 | 6090, 9805 |
| 1218, 1961 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6090,9805 By Matching Biggest Common Factor Method
Now, list down the factors of 6090
:1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090
Now, list down the factors of 9805
:1,5,37,53,185,265,1961,9805
Greatest Common Factor
We found the factors 6090,9805 . The biggest common factor number is the GCF number.
So the greatest common factor 6090,9805 is 5.
Lets's calculate LCM of 101,7693
Given numbers has no common factors except 1. So, there LCM is their product i.e 776993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/776993
Therefore, the GCF of Fractions 6090/101,9805/7693 is 5/776993
Least Common Multiple of 101,7693 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 101,7693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,7693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,7693) x common factors =1 x 1 = 1
LCM(101,7693) = ( 101 × 7693 ) / 1
LCM(101,7693) = 776993 / 1
LCM(101,7693) = 776993
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FAQs on GCF of Fractions of 6090/101, 9805/7693
1. What is the HCF of 6090,9805?
The HCF of 6090,9805 is 5
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 6090/101, 9805/7693?
Answer: GCF of Numerators as per given numbers 6090/101, 9805/7693 is
GCF of Numerators i.e. for 6090,9805 is 5
LCM of denominators i.e. for 101,7693 is 776993.
Thus, GCF of Fractions is 5/776993.Finally, GCF of Fractions for 6090/101, 9805/7693 is 5/776993.