GCF of 2958/789, 8302/4772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2958/789, 8302/4772 i.e 2/3765108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2958/789, 8302/4772.
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 2958/789,8302/4772?
Given fractions are 2958/789,8302/4772
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 2958/789,8302/4772, numerators are 2958,8302
Denominators are 789,4772
The GCF of 2958,8302 is 2 .
LCM of 789,4772 is 3765108.
The greatest common factor of 2958/789,8302/4772 = [GCF of 2958,8302]/[LCM of 789,4772]= 2/3765108
Therefore, the GCF of 2958/789,8302/4772 is 2/3765108.
To find the highest common factor of 2958,8302, we have to find the factors of both numbers and list the highest common factor.
The factors of 2958 are 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958
The factors of 8302 are 1, 2, 7, 14, 593, 1186, 4151, 8302
The HCF of 2958,8302 is 2.
Lets's calculate GCF of 2958,8302
| 2 | 2958, 8302 |
| 1479, 4151 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2958,8302 By Matching Biggest Common Factor Method
Now, list down the factors of 2958
:1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958
Now, list down the factors of 8302
:1,2,7,14,593,1186,4151,8302
Greatest Common Factor
We found the factors 2958,8302 . The biggest common factor number is the GCF number.
So the greatest common factor 2958,8302 is 2.
Lets's calculate LCM of 789,4772
Given numbers has no common factors except 1. So, there LCM is their product i.e 3765108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3765108
Therefore, the GCF of Fractions 2958/789,8302/4772 is 2/3765108
Least Common Multiple of 789,4772 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 789,4772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,4772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,4772) x common factors =1 x 1 = 1
LCM(789,4772) = ( 789 × 4772 ) / 1
LCM(789,4772) = 3765108 / 1
LCM(789,4772) = 3765108
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FAQs on GCF of Fractions of 2958/789, 8302/4772
1. What is the HCF of 2958,8302?
The HCF of 2958,8302 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 2958/789, 8302/4772?
Answer: GCF of Numerators as per given numbers 2958/789, 8302/4772 is
GCF of Numerators i.e. for 2958,8302 is 2
LCM of denominators i.e. for 789,4772 is 3765108.
Thus, GCF of Fractions is 2/3765108.Finally, GCF of Fractions for 2958/789, 8302/4772 is 2/3765108.