GCF of 5086/178, 1566/3552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5086/178, 1566/3552 i.e 2/316128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5086/178, 1566/3552.
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 5086/178,1566/3552?
Given fractions are 5086/178,1566/3552
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 5086/178,1566/3552, numerators are 5086,1566
Denominators are 178,3552
The GCF of 5086,1566 is 2 .
LCM of 178,3552 is 316128.
The greatest common factor of 5086/178,1566/3552 = [GCF of 5086,1566]/[LCM of 178,3552]= 2/316128
Therefore, the GCF of 5086/178,1566/3552 is 2/316128.
To find the highest common factor of 5086,1566, we have to find the factors of both numbers and list the highest common factor.
The factors of 5086 are 1, 2, 2543, 5086
The factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566
The HCF of 5086,1566 is 2.
Lets's calculate GCF of 5086,1566
| 2 | 5086, 1566 |
| 2543, 783 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5086,1566 By Matching Biggest Common Factor Method
Now, list down the factors of 5086
:1,2,2543,5086
Now, list down the factors of 1566
:1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566
Greatest Common Factor
We found the factors 5086,1566 . The biggest common factor number is the GCF number.
So the greatest common factor 5086,1566 is 2.
Lets's calculate LCM of 178,3552
| 2 | 178, 3552 |
| 89, 1776 |
∴ So the LCM of the given numbers is 2 x 89 x 1776 = 316128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/316128
Therefore, the GCF of Fractions 5086/178,1566/3552 is 2/316128
Least Common Multiple of 178,3552 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 178,3552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,3552) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,3552) x common factors =2 x 1 = 2
LCM(178,3552) = ( 178 × 3552 ) / 2
LCM(178,3552) = 632256 / 2
LCM(178,3552) = 316128
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FAQs on GCF of Fractions of 5086/178, 1566/3552
1. What is the HCF of 5086,1566?
The HCF of 5086,1566 is 2
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 5086/178, 1566/3552?
Answer: GCF of Numerators as per given numbers 5086/178, 1566/3552 is
GCF of Numerators i.e. for 5086,1566 is 2
LCM of denominators i.e. for 178,3552 is 316128.
Thus, GCF of Fractions is 2/316128.Finally, GCF of Fractions for 5086/178, 1566/3552 is 2/316128.