GCF of 1315/620, 6550/1272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1315/620, 6550/1272 i.e 5/197160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1315/620, 6550/1272.
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 1315/620,6550/1272?
Given fractions are 1315/620,6550/1272
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 1315/620,6550/1272, numerators are 1315,6550
Denominators are 620,1272
The GCF of 1315,6550 is 5 .
LCM of 620,1272 is 197160.
The greatest common factor of 1315/620,6550/1272 = [GCF of 1315,6550]/[LCM of 620,1272]= 5/197160
Therefore, the GCF of 1315/620,6550/1272 is 5/197160.
To find the highest common factor of 1315,6550, we have to find the factors of both numbers and list the highest common factor.
The factors of 1315 are 1, 5, 263, 1315
The factors of 6550 are 1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550
The HCF of 1315,6550 is 5.
Lets's calculate GCF of 1315,6550
| 5 | 1315, 6550 |
| 263, 1310 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1315,6550 By Matching Biggest Common Factor Method
Now, list down the factors of 1315
:1,5,263,1315
Now, list down the factors of 6550
:1,2,5,10,25,50,131,262,655,1310,3275,6550
Greatest Common Factor
We found the factors 1315,6550 . The biggest common factor number is the GCF number.
So the greatest common factor 1315,6550 is 5.
Lets's calculate LCM of 620,1272
| 2 | 620, 1272 |
| 2 | 310, 636 |
| 155, 318 |
∴ So the LCM of the given numbers is 2 x 2 x 155 x 318 = 197160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/197160
Therefore, the GCF of Fractions 1315/620,6550/1272 is 5/197160
Least Common Multiple of 620,1272 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 620,1272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,1272) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(620,1272) x common factors =4 x 1 = 4
LCM(620,1272) = ( 620 × 1272 ) / 4
LCM(620,1272) = 788640 / 4
LCM(620,1272) = 197160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1315/620, 6550/1272
1. What is the HCF of 1315,6550?
The HCF of 1315,6550 is 5
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 1315/620, 6550/1272?
Answer: GCF of Numerators as per given numbers 1315/620, 6550/1272 is
GCF of Numerators i.e. for 1315,6550 is 5
LCM of denominators i.e. for 620,1272 is 197160.
Thus, GCF of Fractions is 5/197160.Finally, GCF of Fractions for 1315/620, 6550/1272 is 5/197160.