GCF of 2/15, 53/31, 20/688, 250/981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2/15, 53/31, 20/688, 250/981 i.e 1/104613840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/15, 53/31, 20/688, 250/981.
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 2/15,53/31,20/688,250/981?
Given fractions are 2/15,53/31,20/688,250/981
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 2/15,53/31,20/688,250/981, numerators are 2,53,20,250
Denominators are 15,31,688,981
The GCF of 2,53,20,250 is 1 .
LCM of 15,31,688,981 is 104613840.
The greatest common factor of 2/15,53/31,20/688,250/981 = [GCF of 2,53,20,250]/[LCM of 15,31,688,981]= 1/104613840
Therefore, the GCF of 2/15,53/31,20/688,250/981 is 1/104613840.
To find the highest common factor of 2,53,20,250, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 53 are 1, 53
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The HCF of 2,53,20,250 is 1.
Lets's calculate GCF of 2,53,20,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2,53,20,250 By Matching Biggest Common Factor Method
Now, list down the factors of 2
:1,2
Now, list down the factors of 53
:1,53
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 2,53,20,250 . The biggest common factor number is the GCF number.
So the greatest common factor 2,53,20,250 is 1.
Lets's calculate LCM of 15,31,688,981
| 3 | 15, 31, 688, 981 |
| 5, 31, 688, 327 |
∴ So the LCM of the given numbers is 3 x 5 x 31 x 688 x 327 = 104613840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104613840
Therefore, the GCF of Fractions 2/15,53/31,20/688,250/981 is 1/104613840
Least Common Multiple of 15,31,688,981 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 15,31,688,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,31,688,981) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,31,688,981) x common factors =1 x 3 = 3
LCM(15,31,688,981) = ( 15 × 31 × 688 × 981 ) / 3
LCM(15,31,688,981) = 313841520 / 3
LCM(15,31,688,981) = 104613840
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2/15, 53/31, 20/688, 250/981
1. What is the HCF of 2,53,20,250?
The HCF of 2,53,20,250 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 2/15, 53/31, 20/688, 250/981?
Answer: GCF of Numerators as per given numbers 2/15, 53/31, 20/688, 250/981 is
GCF of Numerators i.e. for 2,53,20,250 is 1
LCM of denominators i.e. for 15,31,688,981 is 104613840.
Thus, GCF of Fractions is 1/104613840.Finally, GCF of Fractions for 2/15, 53/31, 20/688, 250/981 is 1/104613840.