GCF of 4650/612, 9982/7619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4650/612, 9982/7619 i.e 62/4662828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4650/612, 9982/7619.
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 4650/612,9982/7619?
Given fractions are 4650/612,9982/7619
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 4650/612,9982/7619, numerators are 4650,9982
Denominators are 612,7619
The GCF of 4650,9982 is 62 .
LCM of 612,7619 is 4662828.
The greatest common factor of 4650/612,9982/7619 = [GCF of 4650,9982]/[LCM of 612,7619]= 62/4662828
Therefore, the GCF of 4650/612,9982/7619 is 62/4662828.
To find the highest common factor of 4650,9982, we have to find the factors of both numbers and list the highest common factor.
The factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650
The factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982
The HCF of 4650,9982 is 62.
Lets's calculate GCF of 4650,9982
| 2 | 4650, 9982 |
| 31 | 2325, 4991 |
| 75, 161 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Greatest Common Factor of 4650,9982 By Matching Biggest Common Factor Method
Now, list down the factors of 4650
:1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650
Now, list down the factors of 9982
:1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982
Greatest Common Factor
We found the factors 4650,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 4650,9982 is 62.
Lets's calculate LCM of 612,7619
Given numbers has no common factors except 1. So, there LCM is their product i.e 4662828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/4662828
Therefore, the GCF of Fractions 4650/612,9982/7619 is 62/4662828
Least Common Multiple of 612,7619 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 612,7619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,7619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(612,7619) x common factors =1 x 1 = 1
LCM(612,7619) = ( 612 × 7619 ) / 1
LCM(612,7619) = 4662828 / 1
LCM(612,7619) = 4662828
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FAQs on GCF of Fractions of 4650/612, 9982/7619
1. What is the HCF of 4650,9982?
The HCF of 4650,9982 is 62
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 4650/612, 9982/7619?
Answer: GCF of Numerators as per given numbers 4650/612, 9982/7619 is
GCF of Numerators i.e. for 4650,9982 is 62
LCM of denominators i.e. for 612,7619 is 4662828.
Thus, GCF of Fractions is 62/4662828.Finally, GCF of Fractions for 4650/612, 9982/7619 is 62/4662828.