GCF of 4756/218, 1566/7844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4756/218, 1566/7844 i.e 58/854996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4756/218, 1566/7844.
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 4756/218,1566/7844?
Given fractions are 4756/218,1566/7844
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 4756/218,1566/7844, numerators are 4756,1566
Denominators are 218,7844
The GCF of 4756,1566 is 58 .
LCM of 218,7844 is 854996.
The greatest common factor of 4756/218,1566/7844 = [GCF of 4756,1566]/[LCM of 218,7844]= 58/854996
Therefore, the GCF of 4756/218,1566/7844 is 58/854996.
To find the highest common factor of 4756,1566, we have to find the factors of both numbers and list the highest common factor.
The factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756
The factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566
The HCF of 4756,1566 is 58.
Lets's calculate GCF of 4756,1566
| 2 | 4756, 1566 |
| 29 | 2378, 783 |
| 82, 27 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 4756,1566 By Matching Biggest Common Factor Method
Now, list down the factors of 4756
:1,2,4,29,41,58,82,116,164,1189,2378,4756
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 4756,1566 . The biggest common factor number is the GCF number.
So the greatest common factor 4756,1566 is 58.
Lets's calculate LCM of 218,7844
| 2 | 218, 7844 |
| 109, 3922 |
∴ So the LCM of the given numbers is 2 x 109 x 3922 = 854996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/854996
Therefore, the GCF of Fractions 4756/218,1566/7844 is 58/854996
Least Common Multiple of 218,7844 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 218,7844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,7844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,7844) x common factors =2 x 1 = 2
LCM(218,7844) = ( 218 × 7844 ) / 2
LCM(218,7844) = 1709992 / 2
LCM(218,7844) = 854996
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FAQs on GCF of Fractions of 4756/218, 1566/7844
1. What is the HCF of 4756,1566?
The HCF of 4756,1566 is 58
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 4756/218, 1566/7844?
Answer: GCF of Numerators as per given numbers 4756/218, 1566/7844 is
GCF of Numerators i.e. for 4756,1566 is 58
LCM of denominators i.e. for 218,7844 is 854996.
Thus, GCF of Fractions is 58/854996.Finally, GCF of Fractions for 4756/218, 1566/7844 is 58/854996.