GCF of 1255/198, 6306/5475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1255/198, 6306/5475 i.e 1/361350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1255/198, 6306/5475.
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 1255/198,6306/5475?
Given fractions are 1255/198,6306/5475
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 1255/198,6306/5475, numerators are 1255,6306
Denominators are 198,5475
The GCF of 1255,6306 is 1 .
LCM of 198,5475 is 361350.
The greatest common factor of 1255/198,6306/5475 = [GCF of 1255,6306]/[LCM of 198,5475]= 1/361350
Therefore, the GCF of 1255/198,6306/5475 is 1/361350.
To find the highest common factor of 1255,6306, we have to find the factors of both numbers and list the highest common factor.
The factors of 1255 are 1, 5, 251, 1255
The factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306
The HCF of 1255,6306 is 1.
Lets's calculate GCF of 1255,6306
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1255,6306 By Matching Biggest Common Factor Method
Now, list down the factors of 1255
:1,5,251,1255
Now, list down the factors of 6306
:1,2,3,6,1051,2102,3153,6306
Greatest Common Factor
We found the factors 1255,6306 . The biggest common factor number is the GCF number.
So the greatest common factor 1255,6306 is 1.
Lets's calculate LCM of 198,5475
| 3 | 198, 5475 |
| 66, 1825 |
∴ So the LCM of the given numbers is 3 x 66 x 1825 = 361350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361350
Therefore, the GCF of Fractions 1255/198,6306/5475 is 1/361350
Least Common Multiple of 198,5475 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 198,5475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,5475) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(198,5475) x common factors =3 x 1 = 3
LCM(198,5475) = ( 198 × 5475 ) / 3
LCM(198,5475) = 1084050 / 3
LCM(198,5475) = 361350
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1255/198, 6306/5475
1. What is the HCF of 1255,6306?
The HCF of 1255,6306 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 1255/198, 6306/5475?
Answer: GCF of Numerators as per given numbers 1255/198, 6306/5475 is
GCF of Numerators i.e. for 1255,6306 is 1
LCM of denominators i.e. for 198,5475 is 361350.
Thus, GCF of Fractions is 1/361350.Finally, GCF of Fractions for 1255/198, 6306/5475 is 1/361350.