GCF of 2565/959, 3070/343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2565/959, 3070/343 i.e 5/46991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2565/959, 3070/343.
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 2565/959,3070/343?
Given fractions are 2565/959,3070/343
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 2565/959,3070/343, numerators are 2565,3070
Denominators are 959,343
The GCF of 2565,3070 is 5 .
LCM of 959,343 is 46991.
The greatest common factor of 2565/959,3070/343 = [GCF of 2565,3070]/[LCM of 959,343]= 5/46991
Therefore, the GCF of 2565/959,3070/343 is 5/46991.
To find the highest common factor of 2565,3070, we have to find the factors of both numbers and list the highest common factor.
The factors of 2565 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565
The factors of 3070 are 1, 2, 5, 10, 307, 614, 1535, 3070
The HCF of 2565,3070 is 5.
Lets's calculate GCF of 2565,3070
| 5 | 2565, 3070 |
| 513, 614 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2565,3070 By Matching Biggest Common Factor Method
Now, list down the factors of 2565
:1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565
Now, list down the factors of 3070
:1,2,5,10,307,614,1535,3070
Greatest Common Factor
We found the factors 2565,3070 . The biggest common factor number is the GCF number.
So the greatest common factor 2565,3070 is 5.
Lets's calculate LCM of 959,343
| 7 | 959, 343 |
| 137, 49 |
∴ So the LCM of the given numbers is 7 x 137 x 49 = 46991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/46991
Therefore, the GCF of Fractions 2565/959,3070/343 is 5/46991
Least Common Multiple of 959,343 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 959,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,343) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(959,343) x common factors =7 x 1 = 7
LCM(959,343) = ( 959 × 343 ) / 7
LCM(959,343) = 328937 / 7
LCM(959,343) = 46991
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FAQs on GCF of Fractions of 2565/959, 3070/343
1. What is the HCF of 2565,3070?
The HCF of 2565,3070 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 2565/959, 3070/343?
Answer: GCF of Numerators as per given numbers 2565/959, 3070/343 is
GCF of Numerators i.e. for 2565,3070 is 5
LCM of denominators i.e. for 959,343 is 46991.
Thus, GCF of Fractions is 5/46991.Finally, GCF of Fractions for 2565/959, 3070/343 is 5/46991.