GCF of 473/198, 7964/4112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 473/198, 7964/4112 i.e 11/407088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 473/198, 7964/4112.
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 473/198,7964/4112?
Given fractions are 473/198,7964/4112
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 473/198,7964/4112, numerators are 473,7964
Denominators are 198,4112
The GCF of 473,7964 is 11 .
LCM of 198,4112 is 407088.
The greatest common factor of 473/198,7964/4112 = [GCF of 473,7964]/[LCM of 198,4112]= 11/407088
Therefore, the GCF of 473/198,7964/4112 is 11/407088.
To find the highest common factor of 473,7964, we have to find the factors of both numbers and list the highest common factor.
The factors of 473 are 1, 11, 43, 473
The factors of 7964 are 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964
The HCF of 473,7964 is 11.
Lets's calculate GCF of 473,7964
| 11 | 473, 7964 |
| 43, 724 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 473,7964 By Matching Biggest Common Factor Method
Now, list down the factors of 473
:1,11,43,473
Now, list down the factors of 7964
:1,2,4,11,22,44,181,362,724,1991,3982,7964
Greatest Common Factor
We found the factors 473,7964 . The biggest common factor number is the GCF number.
So the greatest common factor 473,7964 is 11.
Lets's calculate LCM of 198,4112
| 2 | 198, 4112 |
| 99, 2056 |
∴ So the LCM of the given numbers is 2 x 99 x 2056 = 407088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/407088
Therefore, the GCF of Fractions 473/198,7964/4112 is 11/407088
Least Common Multiple of 198,4112 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 198,4112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,4112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,4112) x common factors =2 x 1 = 2
LCM(198,4112) = ( 198 × 4112 ) / 2
LCM(198,4112) = 814176 / 2
LCM(198,4112) = 407088
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FAQs on GCF of Fractions of 473/198, 7964/4112
1. What is the HCF of 473,7964?
The HCF of 473,7964 is 11
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 473/198, 7964/4112?
Answer: GCF of Numerators as per given numbers 473/198, 7964/4112 is
GCF of Numerators i.e. for 473,7964 is 11
LCM of denominators i.e. for 198,4112 is 407088.
Thus, GCF of Fractions is 11/407088.Finally, GCF of Fractions for 473/198, 7964/4112 is 11/407088.