GCF of 4722/985, 2613/9766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4722/985, 2613/9766 i.e 3/9619510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4722/985, 2613/9766.
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 4722/985,2613/9766?
Given fractions are 4722/985,2613/9766
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 4722/985,2613/9766, numerators are 4722,2613
Denominators are 985,9766
The GCF of 4722,2613 is 3 .
LCM of 985,9766 is 9619510.
The greatest common factor of 4722/985,2613/9766 = [GCF of 4722,2613]/[LCM of 985,9766]= 3/9619510
Therefore, the GCF of 4722/985,2613/9766 is 3/9619510.
To find the highest common factor of 4722,2613, we have to find the factors of both numbers and list the highest common factor.
The factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722
The factors of 2613 are 1, 3, 13, 39, 67, 201, 871, 2613
The HCF of 4722,2613 is 3.
Lets's calculate GCF of 4722,2613
| 3 | 4722, 2613 |
| 1574, 871 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4722,2613 By Matching Biggest Common Factor Method
Now, list down the factors of 4722
:1,2,3,6,787,1574,2361,4722
Now, list down the factors of 2613
:1,3,13,39,67,201,871,2613
Greatest Common Factor
We found the factors 4722,2613 . The biggest common factor number is the GCF number.
So the greatest common factor 4722,2613 is 3.
Lets's calculate LCM of 985,9766
Given numbers has no common factors except 1. So, there LCM is their product i.e 9619510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9619510
Therefore, the GCF of Fractions 4722/985,2613/9766 is 3/9619510
Least Common Multiple of 985,9766 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 985,9766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,9766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,9766) x common factors =1 x 1 = 1
LCM(985,9766) = ( 985 × 9766 ) / 1
LCM(985,9766) = 9619510 / 1
LCM(985,9766) = 9619510
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FAQs on GCF of Fractions of 4722/985, 2613/9766
1. What is the HCF of 4722,2613?
The HCF of 4722,2613 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 4722/985, 2613/9766?
Answer: GCF of Numerators as per given numbers 4722/985, 2613/9766 is
GCF of Numerators i.e. for 4722,2613 is 3
LCM of denominators i.e. for 985,9766 is 9619510.
Thus, GCF of Fractions is 3/9619510.Finally, GCF of Fractions for 4722/985, 2613/9766 is 3/9619510.