GCF of 4545/21, 5375/989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4545/21, 5375/989 i.e 5/20769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4545/21, 5375/989.
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 4545/21,5375/989?
Given fractions are 4545/21,5375/989
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 4545/21,5375/989, numerators are 4545,5375
Denominators are 21,989
The GCF of 4545,5375 is 5 .
LCM of 21,989 is 20769.
The greatest common factor of 4545/21,5375/989 = [GCF of 4545,5375]/[LCM of 21,989]= 5/20769
Therefore, the GCF of 4545/21,5375/989 is 5/20769.
To find the highest common factor of 4545,5375, we have to find the factors of both numbers and list the highest common factor.
The factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545
The factors of 5375 are 1, 5, 25, 43, 125, 215, 1075, 5375
The HCF of 4545,5375 is 5.
Lets's calculate GCF of 4545,5375
| 5 | 4545, 5375 |
| 909, 1075 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4545,5375 By Matching Biggest Common Factor Method
Now, list down the factors of 4545
:1,3,5,9,15,45,101,303,505,909,1515,4545
Now, list down the factors of 5375
:1,5,25,43,125,215,1075,5375
Greatest Common Factor
We found the factors 4545,5375 . The biggest common factor number is the GCF number.
So the greatest common factor 4545,5375 is 5.
Lets's calculate LCM of 21,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 20769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/20769
Therefore, the GCF of Fractions 4545/21,5375/989 is 5/20769
Least Common Multiple of 21,989 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 21,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,989) x common factors =1 x 1 = 1
LCM(21,989) = ( 21 × 989 ) / 1
LCM(21,989) = 20769 / 1
LCM(21,989) = 20769
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4545/21, 5375/989
1. What is the HCF of 4545,5375?
The HCF of 4545,5375 is 5
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 4545/21, 5375/989?
Answer: GCF of Numerators as per given numbers 4545/21, 5375/989 is
GCF of Numerators i.e. for 4545,5375 is 5
LCM of denominators i.e. for 21,989 is 20769.
Thus, GCF of Fractions is 5/20769.Finally, GCF of Fractions for 4545/21, 5375/989 is 5/20769.