GCF of 4245/557, 4500/9977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4245/557, 4500/9977 i.e 15/5557189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4245/557, 4500/9977.
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 4245/557,4500/9977?
Given fractions are 4245/557,4500/9977
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 4245/557,4500/9977, numerators are 4245,4500
Denominators are 557,9977
The GCF of 4245,4500 is 15 .
LCM of 557,9977 is 5557189.
The greatest common factor of 4245/557,4500/9977 = [GCF of 4245,4500]/[LCM of 557,9977]= 15/5557189
Therefore, the GCF of 4245/557,4500/9977 is 15/5557189.
To find the highest common factor of 4245,4500, we have to find the factors of both numbers and list the highest common factor.
The factors of 4245 are 1, 3, 5, 15, 283, 849, 1415, 4245
The factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500
The HCF of 4245,4500 is 15.
Lets's calculate GCF of 4245,4500
| 3 | 4245, 4500 |
| 5 | 1415, 1500 |
| 283, 300 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4245,4500 By Matching Biggest Common Factor Method
Now, list down the factors of 4245
:1,3,5,15,283,849,1415,4245
Now, list down the factors of 4500
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500
Greatest Common Factor
We found the factors 4245,4500 . The biggest common factor number is the GCF number.
So the greatest common factor 4245,4500 is 15.
Lets's calculate LCM of 557,9977
Given numbers has no common factors except 1. So, there LCM is their product i.e 5557189
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/5557189
Therefore, the GCF of Fractions 4245/557,4500/9977 is 15/5557189
Least Common Multiple of 557,9977 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 557,9977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,9977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,9977) x common factors =1 x 1 = 1
LCM(557,9977) = ( 557 × 9977 ) / 1
LCM(557,9977) = 5557189 / 1
LCM(557,9977) = 5557189
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FAQs on GCF of Fractions of 4245/557, 4500/9977
1. What is the HCF of 4245,4500?
The HCF of 4245,4500 is 15
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 4245/557, 4500/9977?
Answer: GCF of Numerators as per given numbers 4245/557, 4500/9977 is
GCF of Numerators i.e. for 4245,4500 is 15
LCM of denominators i.e. for 557,9977 is 5557189.
Thus, GCF of Fractions is 15/5557189.Finally, GCF of Fractions for 4245/557, 4500/9977 is 15/5557189.