GCF of 5238/786, 5310/7247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5238/786, 5310/7247 i.e 18/5696142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5238/786, 5310/7247.
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 5238/786,5310/7247?
Given fractions are 5238/786,5310/7247
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 5238/786,5310/7247, numerators are 5238,5310
Denominators are 786,7247
The GCF of 5238,5310 is 18 .
LCM of 786,7247 is 5696142.
The greatest common factor of 5238/786,5310/7247 = [GCF of 5238,5310]/[LCM of 786,7247]= 18/5696142
Therefore, the GCF of 5238/786,5310/7247 is 18/5696142.
To find the highest common factor of 5238,5310, we have to find the factors of both numbers and list the highest common factor.
The factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238
The factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310
The HCF of 5238,5310 is 18.
Lets's calculate GCF of 5238,5310
| 2 | 5238, 5310 |
| 3 | 2619, 2655 |
| 3 | 873, 885 |
| 291, 295 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 5238,5310 By Matching Biggest Common Factor Method
Now, list down the factors of 5238
:1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238
Now, list down the factors of 5310
:1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310
Greatest Common Factor
We found the factors 5238,5310 . The biggest common factor number is the GCF number.
So the greatest common factor 5238,5310 is 18.
Lets's calculate LCM of 786,7247
Given numbers has no common factors except 1. So, there LCM is their product i.e 5696142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/5696142
Therefore, the GCF of Fractions 5238/786,5310/7247 is 18/5696142
Least Common Multiple of 786,7247 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 786,7247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,7247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,7247) x common factors =1 x 1 = 1
LCM(786,7247) = ( 786 × 7247 ) / 1
LCM(786,7247) = 5696142 / 1
LCM(786,7247) = 5696142
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FAQs on GCF of Fractions of 5238/786, 5310/7247
1. What is the HCF of 5238,5310?
The HCF of 5238,5310 is 18
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 5238/786, 5310/7247?
Answer: GCF of Numerators as per given numbers 5238/786, 5310/7247 is
GCF of Numerators i.e. for 5238,5310 is 18
LCM of denominators i.e. for 786,7247 is 5696142.
Thus, GCF of Fractions is 18/5696142.Finally, GCF of Fractions for 5238/786, 5310/7247 is 18/5696142.