GCF of 3930/811, 5130/245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3930/811, 5130/245 i.e 30/198695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3930/811, 5130/245.
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 3930/811,5130/245?
Given fractions are 3930/811,5130/245
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 3930/811,5130/245, numerators are 3930,5130
Denominators are 811,245
The GCF of 3930,5130 is 30 .
LCM of 811,245 is 198695.
The greatest common factor of 3930/811,5130/245 = [GCF of 3930,5130]/[LCM of 811,245]= 30/198695
Therefore, the GCF of 3930/811,5130/245 is 30/198695.
To find the highest common factor of 3930,5130, we have to find the factors of both numbers and list the highest common factor.
The factors of 3930 are 1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930
The factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130
The HCF of 3930,5130 is 30.
Lets's calculate GCF of 3930,5130
| 2 | 3930, 5130 |
| 3 | 1965, 2565 |
| 5 | 655, 855 |
| 131, 171 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 3930,5130 By Matching Biggest Common Factor Method
Now, list down the factors of 3930
:1,2,3,5,6,10,15,30,131,262,393,655,786,1310,1965,3930
Now, list down the factors of 5130
:1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130
Greatest Common Factor
We found the factors 3930,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 3930,5130 is 30.
Lets's calculate LCM of 811,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 198695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/198695
Therefore, the GCF of Fractions 3930/811,5130/245 is 30/198695
Least Common Multiple of 811,245 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 811,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,245) x common factors =1 x 1 = 1
LCM(811,245) = ( 811 × 245 ) / 1
LCM(811,245) = 198695 / 1
LCM(811,245) = 198695
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3930/811, 5130/245
1. What is the HCF of 3930,5130?
The HCF of 3930,5130 is 30
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 3930/811, 5130/245?
Answer: GCF of Numerators as per given numbers 3930/811, 5130/245 is
GCF of Numerators i.e. for 3930,5130 is 30
LCM of denominators i.e. for 811,245 is 198695.
Thus, GCF of Fractions is 30/198695.Finally, GCF of Fractions for 3930/811, 5130/245 is 30/198695.