GCF of 5700/241, 9432/658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5700/241, 9432/658 i.e 12/158578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5700/241, 9432/658.
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 5700/241,9432/658?
Given fractions are 5700/241,9432/658
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 5700/241,9432/658, numerators are 5700,9432
Denominators are 241,658
The GCF of 5700,9432 is 12 .
LCM of 241,658 is 158578.
The greatest common factor of 5700/241,9432/658 = [GCF of 5700,9432]/[LCM of 241,658]= 12/158578
Therefore, the GCF of 5700/241,9432/658 is 12/158578.
To find the highest common factor of 5700,9432, 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 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432
The HCF of 5700,9432 is 12.
Lets's calculate GCF of 5700,9432
| 2 | 5700, 9432 |
| 2 | 2850, 4716 |
| 3 | 1425, 2358 |
| 475, 786 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5700,9432 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 9432
:1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432
Greatest Common Factor
We found the factors 5700,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 5700,9432 is 12.
Lets's calculate LCM of 241,658
Given numbers has no common factors except 1. So, there LCM is their product i.e 158578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/158578
Therefore, the GCF of Fractions 5700/241,9432/658 is 12/158578
Least Common Multiple of 241,658 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 241,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,658) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,658) x common factors =1 x 1 = 1
LCM(241,658) = ( 241 × 658 ) / 1
LCM(241,658) = 158578 / 1
LCM(241,658) = 158578
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FAQs on GCF of Fractions of 5700/241, 9432/658
1. What is the HCF of 5700,9432?
The HCF of 5700,9432 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 5700/241, 9432/658?
Answer: GCF of Numerators as per given numbers 5700/241, 9432/658 is
GCF of Numerators i.e. for 5700,9432 is 12
LCM of denominators i.e. for 241,658 is 158578.
Thus, GCF of Fractions is 12/158578.Finally, GCF of Fractions for 5700/241, 9432/658 is 12/158578.