GCF of 5621/477, 5137/5086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5621/477, 5137/5086 i.e 11/2426022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5621/477, 5137/5086.
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 5621/477,5137/5086?
Given fractions are 5621/477,5137/5086
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 5621/477,5137/5086, numerators are 5621,5137
Denominators are 477,5086
The GCF of 5621,5137 is 11 .
LCM of 477,5086 is 2426022.
The greatest common factor of 5621/477,5137/5086 = [GCF of 5621,5137]/[LCM of 477,5086]= 11/2426022
Therefore, the GCF of 5621/477,5137/5086 is 11/2426022.
To find the highest common factor of 5621,5137, we have to find the factors of both numbers and list the highest common factor.
The factors of 5621 are 1, 7, 11, 73, 77, 511, 803, 5621
The factors of 5137 are 1, 11, 467, 5137
The HCF of 5621,5137 is 11.
Lets's calculate GCF of 5621,5137
| 11 | 5621, 5137 |
| 511, 467 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5621,5137 By Matching Biggest Common Factor Method
Now, list down the factors of 5621
:1,7,11,73,77,511,803,5621
Now, list down the factors of 5137
:1,11,467,5137
Greatest Common Factor
We found the factors 5621,5137 . The biggest common factor number is the GCF number.
So the greatest common factor 5621,5137 is 11.
Lets's calculate LCM of 477,5086
Given numbers has no common factors except 1. So, there LCM is their product i.e 2426022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2426022
Therefore, the GCF of Fractions 5621/477,5137/5086 is 11/2426022
Least Common Multiple of 477,5086 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 477,5086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,5086) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,5086) x common factors =1 x 1 = 1
LCM(477,5086) = ( 477 × 5086 ) / 1
LCM(477,5086) = 2426022 / 1
LCM(477,5086) = 2426022
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FAQs on GCF of Fractions of 5621/477, 5137/5086
1. What is the HCF of 5621,5137?
The HCF of 5621,5137 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 5621/477, 5137/5086?
Answer: GCF of Numerators as per given numbers 5621/477, 5137/5086 is
GCF of Numerators i.e. for 5621,5137 is 11
LCM of denominators i.e. for 477,5086 is 2426022.
Thus, GCF of Fractions is 11/2426022.Finally, GCF of Fractions for 5621/477, 5137/5086 is 11/2426022.