GCF of 2455/739, 7065/260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2455/739, 7065/260 i.e 5/192140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2455/739, 7065/260.
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 2455/739,7065/260?
Given fractions are 2455/739,7065/260
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 2455/739,7065/260, numerators are 2455,7065
Denominators are 739,260
The GCF of 2455,7065 is 5 .
LCM of 739,260 is 192140.
The greatest common factor of 2455/739,7065/260 = [GCF of 2455,7065]/[LCM of 739,260]= 5/192140
Therefore, the GCF of 2455/739,7065/260 is 5/192140.
To find the highest common factor of 2455,7065, we have to find the factors of both numbers and list the highest common factor.
The factors of 2455 are 1, 5, 491, 2455
The factors of 7065 are 1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355, 7065
The HCF of 2455,7065 is 5.
Lets's calculate GCF of 2455,7065
| 5 | 2455, 7065 |
| 491, 1413 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2455,7065 By Matching Biggest Common Factor Method
Now, list down the factors of 2455
:1,5,491,2455
Now, list down the factors of 7065
:1,3,5,9,15,45,157,471,785,1413,2355,7065
Greatest Common Factor
We found the factors 2455,7065 . The biggest common factor number is the GCF number.
So the greatest common factor 2455,7065 is 5.
Lets's calculate LCM of 739,260
Given numbers has no common factors except 1. So, there LCM is their product i.e 192140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/192140
Therefore, the GCF of Fractions 2455/739,7065/260 is 5/192140
Least Common Multiple of 739,260 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 739,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,260) x common factors =1 x 1 = 1
LCM(739,260) = ( 739 × 260 ) / 1
LCM(739,260) = 192140 / 1
LCM(739,260) = 192140
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2455/739, 7065/260
1. What is the HCF of 2455,7065?
The HCF of 2455,7065 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 2455/739, 7065/260?
Answer: GCF of Numerators as per given numbers 2455/739, 7065/260 is
GCF of Numerators i.e. for 2455,7065 is 5
LCM of denominators i.e. for 739,260 is 192140.
Thus, GCF of Fractions is 5/192140.Finally, GCF of Fractions for 2455/739, 7065/260 is 5/192140.