GCF of 5428/159, 8909/1910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5428/159, 8909/1910 i.e 59/303690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5428/159, 8909/1910.
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 5428/159,8909/1910?
Given fractions are 5428/159,8909/1910
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 5428/159,8909/1910, numerators are 5428,8909
Denominators are 159,1910
The GCF of 5428,8909 is 59 .
LCM of 159,1910 is 303690.
The greatest common factor of 5428/159,8909/1910 = [GCF of 5428,8909]/[LCM of 159,1910]= 59/303690
Therefore, the GCF of 5428/159,8909/1910 is 59/303690.
To find the highest common factor of 5428,8909, we have to find the factors of both numbers and list the highest common factor.
The factors of 5428 are 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428
The factors of 8909 are 1, 59, 151, 8909
The HCF of 5428,8909 is 59.
Lets's calculate GCF of 5428,8909
| 59 | 5428, 8909 |
| 92, 151 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 5428,8909 By Matching Biggest Common Factor Method
Now, list down the factors of 5428
:1,2,4,23,46,59,92,118,236,1357,2714,5428
Now, list down the factors of 8909
:1,59,151,8909
Greatest Common Factor
We found the factors 5428,8909 . The biggest common factor number is the GCF number.
So the greatest common factor 5428,8909 is 59.
Lets's calculate LCM of 159,1910
Given numbers has no common factors except 1. So, there LCM is their product i.e 303690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/303690
Therefore, the GCF of Fractions 5428/159,8909/1910 is 59/303690
Least Common Multiple of 159,1910 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 159,1910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,1910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,1910) x common factors =1 x 1 = 1
LCM(159,1910) = ( 159 × 1910 ) / 1
LCM(159,1910) = 303690 / 1
LCM(159,1910) = 303690
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FAQs on GCF of Fractions of 5428/159, 8909/1910
1. What is the HCF of 5428,8909?
The HCF of 5428,8909 is 59
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 5428/159, 8909/1910?
Answer: GCF of Numerators as per given numbers 5428/159, 8909/1910 is
GCF of Numerators i.e. for 5428,8909 is 59
LCM of denominators i.e. for 159,1910 is 303690.
Thus, GCF of Fractions is 59/303690.Finally, GCF of Fractions for 5428/159, 8909/1910 is 59/303690.