GCF of 7452/491, 4824/247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7452/491, 4824/247 i.e 36/121277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7452/491, 4824/247.
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 7452/491,4824/247?
Given fractions are 7452/491,4824/247
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 7452/491,4824/247, numerators are 7452,4824
Denominators are 491,247
The GCF of 7452,4824 is 36 .
LCM of 491,247 is 121277.
The greatest common factor of 7452/491,4824/247 = [GCF of 7452,4824]/[LCM of 491,247]= 36/121277
Therefore, the GCF of 7452/491,4824/247 is 36/121277.
To find the highest common factor of 7452,4824, we have to find the factors of both numbers and list the highest common factor.
The factors of 7452 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452
The factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824
The HCF of 7452,4824 is 36.
Lets's calculate GCF of 7452,4824
| 2 | 7452, 4824 |
| 2 | 3726, 2412 |
| 3 | 1863, 1206 |
| 3 | 621, 402 |
| 207, 134 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 7452,4824 By Matching Biggest Common Factor Method
Now, list down the factors of 7452
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,81,92,108,138,162,207,276,324,414,621,828,1242,1863,2484,3726,7452
Now, list down the factors of 4824
:1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824
Greatest Common Factor
We found the factors 7452,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 7452,4824 is 36.
Lets's calculate LCM of 491,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 121277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/121277
Therefore, the GCF of Fractions 7452/491,4824/247 is 36/121277
Least Common Multiple of 491,247 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 491,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,247) x common factors =1 x 1 = 1
LCM(491,247) = ( 491 × 247 ) / 1
LCM(491,247) = 121277 / 1
LCM(491,247) = 121277
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FAQs on GCF of Fractions of 7452/491, 4824/247
1. What is the HCF of 7452,4824?
The HCF of 7452,4824 is 36
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 7452/491, 4824/247?
Answer: GCF of Numerators as per given numbers 7452/491, 4824/247 is
GCF of Numerators i.e. for 7452,4824 is 36
LCM of denominators i.e. for 491,247 is 121277.
Thus, GCF of Fractions is 36/121277.Finally, GCF of Fractions for 7452/491, 4824/247 is 36/121277.