GCF of 6505/970, 2506/1726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6505/970, 2506/1726 i.e 1/837110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6505/970, 2506/1726.
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 6505/970,2506/1726?
Given fractions are 6505/970,2506/1726
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 6505/970,2506/1726, numerators are 6505,2506
Denominators are 970,1726
The GCF of 6505,2506 is 1 .
LCM of 970,1726 is 837110.
The greatest common factor of 6505/970,2506/1726 = [GCF of 6505,2506]/[LCM of 970,1726]= 1/837110
Therefore, the GCF of 6505/970,2506/1726 is 1/837110.
To find the highest common factor of 6505,2506, we have to find the factors of both numbers and list the highest common factor.
The factors of 6505 are 1, 5, 1301, 6505
The factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506
The HCF of 6505,2506 is 1.
Lets's calculate GCF of 6505,2506
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6505,2506 By Matching Biggest Common Factor Method
Now, list down the factors of 6505
:1,5,1301,6505
Now, list down the factors of 2506
:1,2,7,14,179,358,1253,2506
Greatest Common Factor
We found the factors 6505,2506 . The biggest common factor number is the GCF number.
So the greatest common factor 6505,2506 is 1.
Lets's calculate LCM of 970,1726
| 2 | 970, 1726 |
| 485, 863 |
∴ So the LCM of the given numbers is 2 x 485 x 863 = 837110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/837110
Therefore, the GCF of Fractions 6505/970,2506/1726 is 1/837110
Least Common Multiple of 970,1726 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 970,1726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,1726) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,1726) x common factors =2 x 1 = 2
LCM(970,1726) = ( 970 × 1726 ) / 2
LCM(970,1726) = 1674220 / 2
LCM(970,1726) = 837110
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FAQs on GCF of Fractions of 6505/970, 2506/1726
1. What is the HCF of 6505,2506?
The HCF of 6505,2506 is 1
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 6505/970, 2506/1726?
Answer: GCF of Numerators as per given numbers 6505/970, 2506/1726 is
GCF of Numerators i.e. for 6505,2506 is 1
LCM of denominators i.e. for 970,1726 is 837110.
Thus, GCF of Fractions is 1/837110.Finally, GCF of Fractions for 6505/970, 2506/1726 is 1/837110.