GCF of 99/650, 1398/5967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/650, 1398/5967 i.e 3/298350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/650, 1398/5967.
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 99/650,1398/5967?
Given fractions are 99/650,1398/5967
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 99/650,1398/5967, numerators are 99,1398
Denominators are 650,5967
The GCF of 99,1398 is 3 .
LCM of 650,5967 is 298350.
The greatest common factor of 99/650,1398/5967 = [GCF of 99,1398]/[LCM of 650,5967]= 3/298350
Therefore, the GCF of 99/650,1398/5967 is 3/298350.
To find the highest common factor of 99,1398, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 1398 are 1, 2, 3, 6, 233, 466, 699, 1398
The HCF of 99,1398 is 3.
Lets's calculate GCF of 99,1398
| 3 | 99, 1398 |
| 33, 466 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 99,1398 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 1398
:1,2,3,6,233,466,699,1398
Greatest Common Factor
We found the factors 99,1398 . The biggest common factor number is the GCF number.
So the greatest common factor 99,1398 is 3.
Lets's calculate LCM of 650,5967
| 13 | 650, 5967 |
| 50, 459 |
∴ So the LCM of the given numbers is 13 x 50 x 459 = 298350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/298350
Therefore, the GCF of Fractions 99/650,1398/5967 is 3/298350
Least Common Multiple of 650,5967 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 650,5967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,5967) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(650,5967) x common factors =13 x 1 = 13
LCM(650,5967) = ( 650 × 5967 ) / 13
LCM(650,5967) = 3878550 / 13
LCM(650,5967) = 298350
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 99/650, 1398/5967
1. What is the HCF of 99,1398?
The HCF of 99,1398 is 3
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 99/650, 1398/5967?
Answer: GCF of Numerators as per given numbers 99/650, 1398/5967 is
GCF of Numerators i.e. for 99,1398 is 3
LCM of denominators i.e. for 650,5967 is 298350.
Thus, GCF of Fractions is 3/298350.Finally, GCF of Fractions for 99/650, 1398/5967 is 3/298350.