GCF of 4888/188, 1999/1682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4888/188, 1999/1682 i.e 1/158108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4888/188, 1999/1682.
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 4888/188,1999/1682?
Given fractions are 4888/188,1999/1682
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 4888/188,1999/1682, numerators are 4888,1999
Denominators are 188,1682
The GCF of 4888,1999 is 1 .
LCM of 188,1682 is 158108.
The greatest common factor of 4888/188,1999/1682 = [GCF of 4888,1999]/[LCM of 188,1682]= 1/158108
Therefore, the GCF of 4888/188,1999/1682 is 1/158108.
To find the highest common factor of 4888,1999, we have to find the factors of both numbers and list the highest common factor.
The factors of 4888 are 1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888
The factors of 1999 are 1, 1999
The HCF of 4888,1999 is 1.
Lets's calculate GCF of 4888,1999
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4888,1999 By Matching Biggest Common Factor Method
Now, list down the factors of 4888
:1,2,4,8,13,26,47,52,94,104,188,376,611,1222,2444,4888
Now, list down the factors of 1999
:1,1999
Greatest Common Factor
We found the factors 4888,1999 . The biggest common factor number is the GCF number.
So the greatest common factor 4888,1999 is 1.
Lets's calculate LCM of 188,1682
| 2 | 188, 1682 |
| 94, 841 |
∴ So the LCM of the given numbers is 2 x 94 x 841 = 158108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158108
Therefore, the GCF of Fractions 4888/188,1999/1682 is 1/158108
Least Common Multiple of 188,1682 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 188,1682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,1682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(188,1682) x common factors =2 x 1 = 2
LCM(188,1682) = ( 188 × 1682 ) / 2
LCM(188,1682) = 316216 / 2
LCM(188,1682) = 158108
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FAQs on GCF of Fractions of 4888/188, 1999/1682
1. What is the HCF of 4888,1999?
The HCF of 4888,1999 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 4888/188, 1999/1682?
Answer: GCF of Numerators as per given numbers 4888/188, 1999/1682 is
GCF of Numerators i.e. for 4888,1999 is 1
LCM of denominators i.e. for 188,1682 is 158108.
Thus, GCF of Fractions is 1/158108.Finally, GCF of Fractions for 4888/188, 1999/1682 is 1/158108.