GCF of 2570/623, 3295/1289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2570/623, 3295/1289 i.e 5/803047 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2570/623, 3295/1289.
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 2570/623,3295/1289?
Given fractions are 2570/623,3295/1289
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 2570/623,3295/1289, numerators are 2570,3295
Denominators are 623,1289
The GCF of 2570,3295 is 5 .
LCM of 623,1289 is 803047.
The greatest common factor of 2570/623,3295/1289 = [GCF of 2570,3295]/[LCM of 623,1289]= 5/803047
Therefore, the GCF of 2570/623,3295/1289 is 5/803047.
To find the highest common factor of 2570,3295, we have to find the factors of both numbers and list the highest common factor.
The factors of 2570 are 1, 2, 5, 10, 257, 514, 1285, 2570
The factors of 3295 are 1, 5, 659, 3295
The HCF of 2570,3295 is 5.
Lets's calculate GCF of 2570,3295
| 5 | 2570, 3295 |
| 514, 659 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2570,3295 By Matching Biggest Common Factor Method
Now, list down the factors of 2570
:1,2,5,10,257,514,1285,2570
Now, list down the factors of 3295
:1,5,659,3295
Greatest Common Factor
We found the factors 2570,3295 . The biggest common factor number is the GCF number.
So the greatest common factor 2570,3295 is 5.
Lets's calculate LCM of 623,1289
Given numbers has no common factors except 1. So, there LCM is their product i.e 803047
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/803047
Therefore, the GCF of Fractions 2570/623,3295/1289 is 5/803047
Least Common Multiple of 623,1289 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 623,1289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,1289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,1289) x common factors =1 x 1 = 1
LCM(623,1289) = ( 623 × 1289 ) / 1
LCM(623,1289) = 803047 / 1
LCM(623,1289) = 803047
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2570/623, 3295/1289
1. What is the HCF of 2570,3295?
The HCF of 2570,3295 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 2570/623, 3295/1289?
Answer: GCF of Numerators as per given numbers 2570/623, 3295/1289 is
GCF of Numerators i.e. for 2570,3295 is 5
LCM of denominators i.e. for 623,1289 is 803047.
Thus, GCF of Fractions is 5/803047.Finally, GCF of Fractions for 2570/623, 3295/1289 is 5/803047.