GCF of 9424/656, 5978/8539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9424/656, 5978/8539 i.e 2/5601584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9424/656, 5978/8539.
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 9424/656,5978/8539?
Given fractions are 9424/656,5978/8539
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 9424/656,5978/8539, numerators are 9424,5978
Denominators are 656,8539
The GCF of 9424,5978 is 2 .
LCM of 656,8539 is 5601584.
The greatest common factor of 9424/656,5978/8539 = [GCF of 9424,5978]/[LCM of 656,8539]= 2/5601584
Therefore, the GCF of 9424/656,5978/8539 is 2/5601584.
To find the highest common factor of 9424,5978, we have to find the factors of both numbers and list the highest common factor.
The factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424
The factors of 5978 are 1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978
The HCF of 9424,5978 is 2.
Lets's calculate GCF of 9424,5978
| 2 | 9424, 5978 |
| 4712, 2989 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9424,5978 By Matching Biggest Common Factor Method
Now, list down the factors of 9424
:1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424
Now, list down the factors of 5978
:1,2,7,14,49,61,98,122,427,854,2989,5978
Greatest Common Factor
We found the factors 9424,5978 . The biggest common factor number is the GCF number.
So the greatest common factor 9424,5978 is 2.
Lets's calculate LCM of 656,8539
Given numbers has no common factors except 1. So, there LCM is their product i.e 5601584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5601584
Therefore, the GCF of Fractions 9424/656,5978/8539 is 2/5601584
Least Common Multiple of 656,8539 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 656,8539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,8539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,8539) x common factors =1 x 1 = 1
LCM(656,8539) = ( 656 × 8539 ) / 1
LCM(656,8539) = 5601584 / 1
LCM(656,8539) = 5601584
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9424/656, 5978/8539
1. What is the HCF of 9424,5978?
The HCF of 9424,5978 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 9424/656, 5978/8539?
Answer: GCF of Numerators as per given numbers 9424/656, 5978/8539 is
GCF of Numerators i.e. for 9424,5978 is 2
LCM of denominators i.e. for 656,8539 is 5601584.
Thus, GCF of Fractions is 2/5601584.Finally, GCF of Fractions for 9424/656, 5978/8539 is 2/5601584.