GCF of 7845/121, 5130/8430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7845/121, 5130/8430 i.e 15/1020030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7845/121, 5130/8430.
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 7845/121,5130/8430?
Given fractions are 7845/121,5130/8430
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 7845/121,5130/8430, numerators are 7845,5130
Denominators are 121,8430
The GCF of 7845,5130 is 15 .
LCM of 121,8430 is 1020030.
The greatest common factor of 7845/121,5130/8430 = [GCF of 7845,5130]/[LCM of 121,8430]= 15/1020030
Therefore, the GCF of 7845/121,5130/8430 is 15/1020030.
To find the highest common factor of 7845,5130, we have to find the factors of both numbers and list the highest common factor.
The factors of 7845 are 1, 3, 5, 15, 523, 1569, 2615, 7845
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 7845,5130 is 15.
Lets's calculate GCF of 7845,5130
| 3 | 7845, 5130 |
| 5 | 2615, 1710 |
| 523, 342 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7845,5130 By Matching Biggest Common Factor Method
Now, list down the factors of 7845
:1,3,5,15,523,1569,2615,7845
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 7845,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 7845,5130 is 15.
Lets's calculate LCM of 121,8430
Given numbers has no common factors except 1. So, there LCM is their product i.e 1020030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1020030
Therefore, the GCF of Fractions 7845/121,5130/8430 is 15/1020030
Least Common Multiple of 121,8430 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 121,8430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,8430) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,8430) x common factors =1 x 1 = 1
LCM(121,8430) = ( 121 × 8430 ) / 1
LCM(121,8430) = 1020030 / 1
LCM(121,8430) = 1020030
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7845/121, 5130/8430
1. What is the HCF of 7845,5130?
The HCF of 7845,5130 is 15
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 7845/121, 5130/8430?
Answer: GCF of Numerators as per given numbers 7845/121, 5130/8430 is
GCF of Numerators i.e. for 7845,5130 is 15
LCM of denominators i.e. for 121,8430 is 1020030.
Thus, GCF of Fractions is 15/1020030.Finally, GCF of Fractions for 7845/121, 5130/8430 is 15/1020030.