GCF of 2787/831, 1372/225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2787/831, 1372/225 i.e 1/62325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2787/831, 1372/225.
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 2787/831,1372/225?
Given fractions are 2787/831,1372/225
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 2787/831,1372/225, numerators are 2787,1372
Denominators are 831,225
The GCF of 2787,1372 is 1 .
LCM of 831,225 is 62325.
The greatest common factor of 2787/831,1372/225 = [GCF of 2787,1372]/[LCM of 831,225]= 1/62325
Therefore, the GCF of 2787/831,1372/225 is 1/62325.
To find the highest common factor of 2787,1372, we have to find the factors of both numbers and list the highest common factor.
The factors of 2787 are 1, 3, 929, 2787
The factors of 1372 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372
The HCF of 2787,1372 is 1.
Lets's calculate GCF of 2787,1372
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2787,1372 By Matching Biggest Common Factor Method
Now, list down the factors of 2787
:1,3,929,2787
Now, list down the factors of 1372
:1,2,4,7,14,28,49,98,196,343,686,1372
Greatest Common Factor
We found the factors 2787,1372 . The biggest common factor number is the GCF number.
So the greatest common factor 2787,1372 is 1.
Lets's calculate LCM of 831,225
| 3 | 831, 225 |
| 277, 75 |
∴ So the LCM of the given numbers is 3 x 277 x 75 = 62325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62325
Therefore, the GCF of Fractions 2787/831,1372/225 is 1/62325
Least Common Multiple of 831,225 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 831,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,225) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(831,225) x common factors =3 x 1 = 3
LCM(831,225) = ( 831 × 225 ) / 3
LCM(831,225) = 186975 / 3
LCM(831,225) = 62325
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FAQs on GCF of Fractions of 2787/831, 1372/225
1. What is the HCF of 2787,1372?
The HCF of 2787,1372 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 2787/831, 1372/225?
Answer: GCF of Numerators as per given numbers 2787/831, 1372/225 is
GCF of Numerators i.e. for 2787,1372 is 1
LCM of denominators i.e. for 831,225 is 62325.
Thus, GCF of Fractions is 1/62325.Finally, GCF of Fractions for 2787/831, 1372/225 is 1/62325.