GCF of 9616/690, 5552/8724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9616/690, 5552/8724 i.e 16/1003260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9616/690, 5552/8724.
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 9616/690,5552/8724?
Given fractions are 9616/690,5552/8724
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 9616/690,5552/8724, numerators are 9616,5552
Denominators are 690,8724
The GCF of 9616,5552 is 16 .
LCM of 690,8724 is 1003260.
The greatest common factor of 9616/690,5552/8724 = [GCF of 9616,5552]/[LCM of 690,8724]= 16/1003260
Therefore, the GCF of 9616/690,5552/8724 is 16/1003260.
To find the highest common factor of 9616,5552, we have to find the factors of both numbers and list the highest common factor.
The factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616
The factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552
The HCF of 9616,5552 is 16.
Lets's calculate GCF of 9616,5552
| 2 | 9616, 5552 |
| 2 | 4808, 2776 |
| 2 | 2404, 1388 |
| 2 | 1202, 694 |
| 601, 347 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9616,5552 By Matching Biggest Common Factor Method
Now, list down the factors of 9616
:1,2,4,8,16,601,1202,2404,4808,9616
Now, list down the factors of 5552
:1,2,4,8,16,347,694,1388,2776,5552
Greatest Common Factor
We found the factors 9616,5552 . The biggest common factor number is the GCF number.
So the greatest common factor 9616,5552 is 16.
Lets's calculate LCM of 690,8724
| 2 | 690, 8724 |
| 3 | 345, 4362 |
| 115, 1454 |
∴ So the LCM of the given numbers is 2 x 3 x 115 x 1454 = 1003260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1003260
Therefore, the GCF of Fractions 9616/690,5552/8724 is 16/1003260
Least Common Multiple of 690,8724 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 690,8724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,8724) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(690,8724) x common factors =6 x 1 = 6
LCM(690,8724) = ( 690 × 8724 ) / 6
LCM(690,8724) = 6019560 / 6
LCM(690,8724) = 1003260
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9616/690, 5552/8724
1. What is the HCF of 9616,5552?
The HCF of 9616,5552 is 16
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 9616/690, 5552/8724?
Answer: GCF of Numerators as per given numbers 9616/690, 5552/8724 is
GCF of Numerators i.e. for 9616,5552 is 16
LCM of denominators i.e. for 690,8724 is 1003260.
Thus, GCF of Fractions is 16/1003260.Finally, GCF of Fractions for 9616/690, 5552/8724 is 16/1003260.