GCF of 2065/235, 8690/734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2065/235, 8690/734 i.e 5/172490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2065/235, 8690/734.
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 2065/235,8690/734?
Given fractions are 2065/235,8690/734
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 2065/235,8690/734, numerators are 2065,8690
Denominators are 235,734
The GCF of 2065,8690 is 5 .
LCM of 235,734 is 172490.
The greatest common factor of 2065/235,8690/734 = [GCF of 2065,8690]/[LCM of 235,734]= 5/172490
Therefore, the GCF of 2065/235,8690/734 is 5/172490.
To find the highest common factor of 2065,8690, we have to find the factors of both numbers and list the highest common factor.
The factors of 2065 are 1, 5, 7, 35, 59, 295, 413, 2065
The factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690
The HCF of 2065,8690 is 5.
Lets's calculate GCF of 2065,8690
| 5 | 2065, 8690 |
| 413, 1738 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2065,8690 By Matching Biggest Common Factor Method
Now, list down the factors of 2065
:1,5,7,35,59,295,413,2065
Now, list down the factors of 8690
:1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690
Greatest Common Factor
We found the factors 2065,8690 . The biggest common factor number is the GCF number.
So the greatest common factor 2065,8690 is 5.
Lets's calculate LCM of 235,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 172490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/172490
Therefore, the GCF of Fractions 2065/235,8690/734 is 5/172490
Least Common Multiple of 235,734 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 235,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,734) x common factors =1 x 1 = 1
LCM(235,734) = ( 235 × 734 ) / 1
LCM(235,734) = 172490 / 1
LCM(235,734) = 172490
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FAQs on GCF of Fractions of 2065/235, 8690/734
1. What is the HCF of 2065,8690?
The HCF of 2065,8690 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 2065/235, 8690/734?
Answer: GCF of Numerators as per given numbers 2065/235, 8690/734 is
GCF of Numerators i.e. for 2065,8690 is 5
LCM of denominators i.e. for 235,734 is 172490.
Thus, GCF of Fractions is 5/172490.Finally, GCF of Fractions for 2065/235, 8690/734 is 5/172490.