GCF of 2630/228, 3201/4746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2630/228, 3201/4746 i.e 1/180348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2630/228, 3201/4746.
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 2630/228,3201/4746?
Given fractions are 2630/228,3201/4746
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 2630/228,3201/4746, numerators are 2630,3201
Denominators are 228,4746
The GCF of 2630,3201 is 1 .
LCM of 228,4746 is 180348.
The greatest common factor of 2630/228,3201/4746 = [GCF of 2630,3201]/[LCM of 228,4746]= 1/180348
Therefore, the GCF of 2630/228,3201/4746 is 1/180348.
To find the highest common factor of 2630,3201, we have to find the factors of both numbers and list the highest common factor.
The factors of 2630 are 1, 2, 5, 10, 263, 526, 1315, 2630
The factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201
The HCF of 2630,3201 is 1.
Lets's calculate GCF of 2630,3201
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2630,3201 By Matching Biggest Common Factor Method
Now, list down the factors of 2630
:1,2,5,10,263,526,1315,2630
Now, list down the factors of 3201
:1,3,11,33,97,291,1067,3201
Greatest Common Factor
We found the factors 2630,3201 . The biggest common factor number is the GCF number.
So the greatest common factor 2630,3201 is 1.
Lets's calculate LCM of 228,4746
| 2 | 228, 4746 |
| 3 | 114, 2373 |
| 38, 791 |
∴ So the LCM of the given numbers is 2 x 3 x 38 x 791 = 180348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180348
Therefore, the GCF of Fractions 2630/228,3201/4746 is 1/180348
Least Common Multiple of 228,4746 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 228,4746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,4746) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(228,4746) x common factors =6 x 1 = 6
LCM(228,4746) = ( 228 × 4746 ) / 6
LCM(228,4746) = 1082088 / 6
LCM(228,4746) = 180348
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2630/228, 3201/4746
1. What is the HCF of 2630,3201?
The HCF of 2630,3201 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 2630/228, 3201/4746?
Answer: GCF of Numerators as per given numbers 2630/228, 3201/4746 is
GCF of Numerators i.e. for 2630,3201 is 1
LCM of denominators i.e. for 228,4746 is 180348.
Thus, GCF of Fractions is 1/180348.Finally, GCF of Fractions for 2630/228, 3201/4746 is 1/180348.