GCF of 6650/933, 5196/7966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6650/933, 5196/7966 i.e 2/7432278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6650/933, 5196/7966.
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 6650/933,5196/7966?
Given fractions are 6650/933,5196/7966
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 6650/933,5196/7966, numerators are 6650,5196
Denominators are 933,7966
The GCF of 6650,5196 is 2 .
LCM of 933,7966 is 7432278.
The greatest common factor of 6650/933,5196/7966 = [GCF of 6650,5196]/[LCM of 933,7966]= 2/7432278
Therefore, the GCF of 6650/933,5196/7966 is 2/7432278.
To find the highest common factor of 6650,5196, we have to find the factors of both numbers and list the highest common factor.
The factors of 6650 are 1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325, 6650
The factors of 5196 are 1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196
The HCF of 6650,5196 is 2.
Lets's calculate GCF of 6650,5196
| 2 | 6650, 5196 |
| 3325, 2598 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6650,5196 By Matching Biggest Common Factor Method
Now, list down the factors of 6650
:1,2,5,7,10,14,19,25,35,38,50,70,95,133,175,190,266,350,475,665,950,1330,3325,6650
Now, list down the factors of 5196
:1,2,3,4,6,12,433,866,1299,1732,2598,5196
Greatest Common Factor
We found the factors 6650,5196 . The biggest common factor number is the GCF number.
So the greatest common factor 6650,5196 is 2.
Lets's calculate LCM of 933,7966
Given numbers has no common factors except 1. So, there LCM is their product i.e 7432278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7432278
Therefore, the GCF of Fractions 6650/933,5196/7966 is 2/7432278
Least Common Multiple of 933,7966 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 933,7966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,7966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,7966) x common factors =1 x 1 = 1
LCM(933,7966) = ( 933 × 7966 ) / 1
LCM(933,7966) = 7432278 / 1
LCM(933,7966) = 7432278
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FAQs on GCF of Fractions of 6650/933, 5196/7966
1. What is the HCF of 6650,5196?
The HCF of 6650,5196 is 2
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 6650/933, 5196/7966?
Answer: GCF of Numerators as per given numbers 6650/933, 5196/7966 is
GCF of Numerators i.e. for 6650,5196 is 2
LCM of denominators i.e. for 933,7966 is 7432278.
Thus, GCF of Fractions is 2/7432278.Finally, GCF of Fractions for 6650/933, 5196/7966 is 2/7432278.