GCF of 5700/613, 7272/707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5700/613, 7272/707 i.e 12/433391 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5700/613, 7272/707.
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 5700/613,7272/707?
Given fractions are 5700/613,7272/707
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 5700/613,7272/707, numerators are 5700,7272
Denominators are 613,707
The GCF of 5700,7272 is 12 .
LCM of 613,707 is 433391.
The greatest common factor of 5700/613,7272/707 = [GCF of 5700,7272]/[LCM of 613,707]= 12/433391
Therefore, the GCF of 5700/613,7272/707 is 12/433391.
To find the highest common factor of 5700,7272, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7272 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272
The HCF of 5700,7272 is 12.
Lets's calculate GCF of 5700,7272
| 2 | 5700, 7272 |
| 2 | 2850, 3636 |
| 3 | 1425, 1818 |
| 475, 606 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5700,7272 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7272
:1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272
Greatest Common Factor
We found the factors 5700,7272 . The biggest common factor number is the GCF number.
So the greatest common factor 5700,7272 is 12.
Lets's calculate LCM of 613,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 433391
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/433391
Therefore, the GCF of Fractions 5700/613,7272/707 is 12/433391
Least Common Multiple of 613,707 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 613,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,707) x common factors =1 x 1 = 1
LCM(613,707) = ( 613 × 707 ) / 1
LCM(613,707) = 433391 / 1
LCM(613,707) = 433391
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FAQs on GCF of Fractions of 5700/613, 7272/707
1. What is the HCF of 5700,7272?
The HCF of 5700,7272 is 12
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 5700/613, 7272/707?
Answer: GCF of Numerators as per given numbers 5700/613, 7272/707 is
GCF of Numerators i.e. for 5700,7272 is 12
LCM of denominators i.e. for 613,707 is 433391.
Thus, GCF of Fractions is 12/433391.Finally, GCF of Fractions for 5700/613, 7272/707 is 12/433391.