GCF of 3030/683, 4252/8351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3030/683, 4252/8351 i.e 2/5703733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3030/683, 4252/8351.
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 3030/683,4252/8351?
Given fractions are 3030/683,4252/8351
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 3030/683,4252/8351, numerators are 3030,4252
Denominators are 683,8351
The GCF of 3030,4252 is 2 .
LCM of 683,8351 is 5703733.
The greatest common factor of 3030/683,4252/8351 = [GCF of 3030,4252]/[LCM of 683,8351]= 2/5703733
Therefore, the GCF of 3030/683,4252/8351 is 2/5703733.
To find the highest common factor of 3030,4252, we have to find the factors of both numbers and list the highest common factor.
The factors of 3030 are 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030
The factors of 4252 are 1, 2, 4, 1063, 2126, 4252
The HCF of 3030,4252 is 2.
Lets's calculate GCF of 3030,4252
| 2 | 3030, 4252 |
| 1515, 2126 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3030,4252 By Matching Biggest Common Factor Method
Now, list down the factors of 3030
:1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030
Now, list down the factors of 4252
:1,2,4,1063,2126,4252
Greatest Common Factor
We found the factors 3030,4252 . The biggest common factor number is the GCF number.
So the greatest common factor 3030,4252 is 2.
Lets's calculate LCM of 683,8351
Given numbers has no common factors except 1. So, there LCM is their product i.e 5703733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5703733
Therefore, the GCF of Fractions 3030/683,4252/8351 is 2/5703733
Least Common Multiple of 683,8351 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 683,8351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,8351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,8351) x common factors =1 x 1 = 1
LCM(683,8351) = ( 683 × 8351 ) / 1
LCM(683,8351) = 5703733 / 1
LCM(683,8351) = 5703733
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FAQs on GCF of Fractions of 3030/683, 4252/8351
1. What is the HCF of 3030,4252?
The HCF of 3030,4252 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 3030/683, 4252/8351?
Answer: GCF of Numerators as per given numbers 3030/683, 4252/8351 is
GCF of Numerators i.e. for 3030,4252 is 2
LCM of denominators i.e. for 683,8351 is 5703733.
Thus, GCF of Fractions is 2/5703733.Finally, GCF of Fractions for 3030/683, 4252/8351 is 2/5703733.