GCF of 2166/724, 5048/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2166/724, 5048/418 i.e 2/151316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2166/724, 5048/418.
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 2166/724,5048/418?
Given fractions are 2166/724,5048/418
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 2166/724,5048/418, numerators are 2166,5048
Denominators are 724,418
The GCF of 2166,5048 is 2 .
LCM of 724,418 is 151316.
The greatest common factor of 2166/724,5048/418 = [GCF of 2166,5048]/[LCM of 724,418]= 2/151316
Therefore, the GCF of 2166/724,5048/418 is 2/151316.
To find the highest common factor of 2166,5048, we have to find the factors of both numbers and list the highest common factor.
The factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166
The factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048
The HCF of 2166,5048 is 2.
Lets's calculate GCF of 2166,5048
| 2 | 2166, 5048 |
| 1083, 2524 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2166,5048 By Matching Biggest Common Factor Method
Now, list down the factors of 2166
:1,2,3,6,19,38,57,114,361,722,1083,2166
Now, list down the factors of 5048
:1,2,4,8,631,1262,2524,5048
Greatest Common Factor
We found the factors 2166,5048 . The biggest common factor number is the GCF number.
So the greatest common factor 2166,5048 is 2.
Lets's calculate LCM of 724,418
| 2 | 724, 418 |
| 362, 209 |
∴ So the LCM of the given numbers is 2 x 362 x 209 = 151316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/151316
Therefore, the GCF of Fractions 2166/724,5048/418 is 2/151316
Least Common Multiple of 724,418 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 724,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,418) x common factors =2 x 1 = 2
LCM(724,418) = ( 724 × 418 ) / 2
LCM(724,418) = 302632 / 2
LCM(724,418) = 151316
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FAQs on GCF of Fractions of 2166/724, 5048/418
1. What is the HCF of 2166,5048?
The HCF of 2166,5048 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 2166/724, 5048/418?
Answer: GCF of Numerators as per given numbers 2166/724, 5048/418 is
GCF of Numerators i.e. for 2166,5048 is 2
LCM of denominators i.e. for 724,418 is 151316.
Thus, GCF of Fractions is 2/151316.Finally, GCF of Fractions for 2166/724, 5048/418 is 2/151316.