GCF of 4503/661, 5700/5582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4503/661, 5700/5582 i.e 57/3689702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4503/661, 5700/5582.
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 4503/661,5700/5582?
Given fractions are 4503/661,5700/5582
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 4503/661,5700/5582, numerators are 4503,5700
Denominators are 661,5582
The GCF of 4503,5700 is 57 .
LCM of 661,5582 is 3689702.
The greatest common factor of 4503/661,5700/5582 = [GCF of 4503,5700]/[LCM of 661,5582]= 57/3689702
Therefore, the GCF of 4503/661,5700/5582 is 57/3689702.
To find the highest common factor of 4503,5700, we have to find the factors of both numbers and list the highest common factor.
The factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503
The factors of 5700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700
The HCF of 4503,5700 is 57.
Lets's calculate GCF of 4503,5700
| 3 | 4503, 5700 |
| 19 | 1501, 1900 |
| 79, 100 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 4503,5700 By Matching Biggest Common Factor Method
Now, list down the factors of 4503
:1,3,19,57,79,237,1501,4503
Now, list down the factors of 5700
:1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700
Greatest Common Factor
We found the factors 4503,5700 . The biggest common factor number is the GCF number.
So the greatest common factor 4503,5700 is 57.
Lets's calculate LCM of 661,5582
Given numbers has no common factors except 1. So, there LCM is their product i.e 3689702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/3689702
Therefore, the GCF of Fractions 4503/661,5700/5582 is 57/3689702
Least Common Multiple of 661,5582 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 661,5582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,5582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,5582) x common factors =1 x 1 = 1
LCM(661,5582) = ( 661 × 5582 ) / 1
LCM(661,5582) = 3689702 / 1
LCM(661,5582) = 3689702
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FAQs on GCF of Fractions of 4503/661, 5700/5582
1. What is the HCF of 4503,5700?
The HCF of 4503,5700 is 57
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 4503/661, 5700/5582?
Answer: GCF of Numerators as per given numbers 4503/661, 5700/5582 is
GCF of Numerators i.e. for 4503,5700 is 57
LCM of denominators i.e. for 661,5582 is 3689702.
Thus, GCF of Fractions is 57/3689702.Finally, GCF of Fractions for 4503/661, 5700/5582 is 57/3689702.