GCF of 4974/408, 6235/4148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4974/408, 6235/4148 i.e 1/24888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4974/408, 6235/4148.
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 4974/408,6235/4148?
Given fractions are 4974/408,6235/4148
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 4974/408,6235/4148, numerators are 4974,6235
Denominators are 408,4148
The GCF of 4974,6235 is 1 .
LCM of 408,4148 is 24888.
The greatest common factor of 4974/408,6235/4148 = [GCF of 4974,6235]/[LCM of 408,4148]= 1/24888
Therefore, the GCF of 4974/408,6235/4148 is 1/24888.
To find the highest common factor of 4974,6235, we have to find the factors of both numbers and list the highest common factor.
The factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974
The factors of 6235 are 1, 5, 29, 43, 145, 215, 1247, 6235
The HCF of 4974,6235 is 1.
Lets's calculate GCF of 4974,6235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4974,6235 By Matching Biggest Common Factor Method
Now, list down the factors of 4974
:1,2,3,6,829,1658,2487,4974
Now, list down the factors of 6235
:1,5,29,43,145,215,1247,6235
Greatest Common Factor
We found the factors 4974,6235 . The biggest common factor number is the GCF number.
So the greatest common factor 4974,6235 is 1.
Lets's calculate LCM of 408,4148
| 2 | 408, 4148 |
| 2 | 204, 2074 |
| 17 | 102, 1037 |
| 6, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 6 x 61 = 24888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24888
Therefore, the GCF of Fractions 4974/408,6235/4148 is 1/24888
Least Common Multiple of 408,4148 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 408,4148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,4148) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(408,4148) x common factors =68 x 1 = 68
LCM(408,4148) = ( 408 × 4148 ) / 68
LCM(408,4148) = 1692384 / 68
LCM(408,4148) = 24888
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FAQs on GCF of Fractions of 4974/408, 6235/4148
1. What is the HCF of 4974,6235?
The HCF of 4974,6235 is 1
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 4974/408, 6235/4148?
Answer: GCF of Numerators as per given numbers 4974/408, 6235/4148 is
GCF of Numerators i.e. for 4974,6235 is 1
LCM of denominators i.e. for 408,4148 is 24888.
Thus, GCF of Fractions is 1/24888.Finally, GCF of Fractions for 4974/408, 6235/4148 is 1/24888.