GCF of 2537/814, 3561/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2537/814, 3561/960 i.e 1/390720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2537/814, 3561/960.
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 2537/814,3561/960?
Given fractions are 2537/814,3561/960
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 2537/814,3561/960, numerators are 2537,3561
Denominators are 814,960
The GCF of 2537,3561 is 1 .
LCM of 814,960 is 390720.
The greatest common factor of 2537/814,3561/960 = [GCF of 2537,3561]/[LCM of 814,960]= 1/390720
Therefore, the GCF of 2537/814,3561/960 is 1/390720.
To find the highest common factor of 2537,3561, we have to find the factors of both numbers and list the highest common factor.
The factors of 2537 are 1, 43, 59, 2537
The factors of 3561 are 1, 3, 1187, 3561
The HCF of 2537,3561 is 1.
Lets's calculate GCF of 2537,3561
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2537,3561 By Matching Biggest Common Factor Method
Now, list down the factors of 2537
:1,43,59,2537
Now, list down the factors of 3561
:1,3,1187,3561
Greatest Common Factor
We found the factors 2537,3561 . The biggest common factor number is the GCF number.
So the greatest common factor 2537,3561 is 1.
Lets's calculate LCM of 814,960
| 2 | 814, 960 |
| 407, 480 |
∴ So the LCM of the given numbers is 2 x 407 x 480 = 390720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390720
Therefore, the GCF of Fractions 2537/814,3561/960 is 1/390720
Least Common Multiple of 814,960 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 814,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,960) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,960) x common factors =2 x 1 = 2
LCM(814,960) = ( 814 × 960 ) / 2
LCM(814,960) = 781440 / 2
LCM(814,960) = 390720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2537/814, 3561/960
1. What is the HCF of 2537,3561?
The HCF of 2537,3561 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 2537/814, 3561/960?
Answer: GCF of Numerators as per given numbers 2537/814, 3561/960 is
GCF of Numerators i.e. for 2537,3561 is 1
LCM of denominators i.e. for 814,960 is 390720.
Thus, GCF of Fractions is 1/390720.Finally, GCF of Fractions for 2537/814, 3561/960 is 1/390720.