GCF of 4903/486, 6627/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4903/486, 6627/116 i.e 1/28188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4903/486, 6627/116.
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 4903/486,6627/116?
Given fractions are 4903/486,6627/116
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 4903/486,6627/116, numerators are 4903,6627
Denominators are 486,116
The GCF of 4903,6627 is 1 .
LCM of 486,116 is 28188.
The greatest common factor of 4903/486,6627/116 = [GCF of 4903,6627]/[LCM of 486,116]= 1/28188
Therefore, the GCF of 4903/486,6627/116 is 1/28188.
To find the highest common factor of 4903,6627, we have to find the factors of both numbers and list the highest common factor.
The factors of 4903 are 1, 4903
The factors of 6627 are 1, 3, 47, 141, 2209, 6627
The HCF of 4903,6627 is 1.
Lets's calculate GCF of 4903,6627
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4903,6627 By Matching Biggest Common Factor Method
Now, list down the factors of 4903
:1,4903
Now, list down the factors of 6627
:1,3,47,141,2209,6627
Greatest Common Factor
We found the factors 4903,6627 . The biggest common factor number is the GCF number.
So the greatest common factor 4903,6627 is 1.
Lets's calculate LCM of 486,116
| 2 | 486, 116 |
| 243, 58 |
∴ So the LCM of the given numbers is 2 x 243 x 58 = 28188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28188
Therefore, the GCF of Fractions 4903/486,6627/116 is 1/28188
Least Common Multiple of 486,116 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 486,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,116) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(486,116) x common factors =2 x 1 = 2
LCM(486,116) = ( 486 × 116 ) / 2
LCM(486,116) = 56376 / 2
LCM(486,116) = 28188
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FAQs on GCF of Fractions of 4903/486, 6627/116
1. What is the HCF of 4903,6627?
The HCF of 4903,6627 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 4903/486, 6627/116?
Answer: GCF of Numerators as per given numbers 4903/486, 6627/116 is
GCF of Numerators i.e. for 4903,6627 is 1
LCM of denominators i.e. for 486,116 is 28188.
Thus, GCF of Fractions is 1/28188.Finally, GCF of Fractions for 4903/486, 6627/116 is 1/28188.