GCF of 7854/248, 5238/6203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7854/248, 5238/6203 i.e 6/1538344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7854/248, 5238/6203.
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 7854/248,5238/6203?
Given fractions are 7854/248,5238/6203
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 7854/248,5238/6203, numerators are 7854,5238
Denominators are 248,6203
The GCF of 7854,5238 is 6 .
LCM of 248,6203 is 1538344.
The greatest common factor of 7854/248,5238/6203 = [GCF of 7854,5238]/[LCM of 248,6203]= 6/1538344
Therefore, the GCF of 7854/248,5238/6203 is 6/1538344.
To find the highest common factor of 7854,5238, we have to find the factors of both numbers and list the highest common factor.
The factors of 7854 are 1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927, 7854
The factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238
The HCF of 7854,5238 is 6.
Lets's calculate GCF of 7854,5238
| 2 | 7854, 5238 |
| 3 | 3927, 2619 |
| 1309, 873 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7854,5238 By Matching Biggest Common Factor Method
Now, list down the factors of 7854
:1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854
Now, list down the factors of 5238
:1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238
Greatest Common Factor
We found the factors 7854,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 7854,5238 is 6.
Lets's calculate LCM of 248,6203
Given numbers has no common factors except 1. So, there LCM is their product i.e 1538344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1538344
Therefore, the GCF of Fractions 7854/248,5238/6203 is 6/1538344
Least Common Multiple of 248,6203 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 248,6203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,6203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,6203) x common factors =1 x 1 = 1
LCM(248,6203) = ( 248 × 6203 ) / 1
LCM(248,6203) = 1538344 / 1
LCM(248,6203) = 1538344
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FAQs on GCF of Fractions of 7854/248, 5238/6203
1. What is the HCF of 7854,5238?
The HCF of 7854,5238 is 6
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 7854/248, 5238/6203?
Answer: GCF of Numerators as per given numbers 7854/248, 5238/6203 is
GCF of Numerators i.e. for 7854,5238 is 6
LCM of denominators i.e. for 248,6203 is 1538344.
Thus, GCF of Fractions is 6/1538344.Finally, GCF of Fractions for 7854/248, 5238/6203 is 6/1538344.