GCF of 6333/617, 3777/7974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6333/617, 3777/7974 i.e 3/4919958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6333/617, 3777/7974.
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 6333/617,3777/7974?
Given fractions are 6333/617,3777/7974
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 6333/617,3777/7974, numerators are 6333,3777
Denominators are 617,7974
The GCF of 6333,3777 is 3 .
LCM of 617,7974 is 4919958.
The greatest common factor of 6333/617,3777/7974 = [GCF of 6333,3777]/[LCM of 617,7974]= 3/4919958
Therefore, the GCF of 6333/617,3777/7974 is 3/4919958.
To find the highest common factor of 6333,3777, we have to find the factors of both numbers and list the highest common factor.
The factors of 6333 are 1, 3, 2111, 6333
The factors of 3777 are 1, 3, 1259, 3777
The HCF of 6333,3777 is 3.
Lets's calculate GCF of 6333,3777
| 3 | 6333, 3777 |
| 2111, 1259 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6333,3777 By Matching Biggest Common Factor Method
Now, list down the factors of 6333
:1,3,2111,6333
Now, list down the factors of 3777
:1,3,1259,3777
Greatest Common Factor
We found the factors 6333,3777 . The biggest common factor number is the GCF number.
So the greatest common factor 6333,3777 is 3.
Lets's calculate LCM of 617,7974
Given numbers has no common factors except 1. So, there LCM is their product i.e 4919958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4919958
Therefore, the GCF of Fractions 6333/617,3777/7974 is 3/4919958
Least Common Multiple of 617,7974 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 617,7974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,7974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,7974) x common factors =1 x 1 = 1
LCM(617,7974) = ( 617 × 7974 ) / 1
LCM(617,7974) = 4919958 / 1
LCM(617,7974) = 4919958
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6333/617, 3777/7974
1. What is the HCF of 6333,3777?
The HCF of 6333,3777 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 6333/617, 3777/7974?
Answer: GCF of Numerators as per given numbers 6333/617, 3777/7974 is
GCF of Numerators i.e. for 6333,3777 is 3
LCM of denominators i.e. for 617,7974 is 4919958.
Thus, GCF of Fractions is 3/4919958.Finally, GCF of Fractions for 6333/617, 3777/7974 is 3/4919958.