GCF of 2046/101, 2888/1968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2046/101, 2888/1968 i.e 2/198768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2046/101, 2888/1968.
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 2046/101,2888/1968?
Given fractions are 2046/101,2888/1968
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 2046/101,2888/1968, numerators are 2046,2888
Denominators are 101,1968
The GCF of 2046,2888 is 2 .
LCM of 101,1968 is 198768.
The greatest common factor of 2046/101,2888/1968 = [GCF of 2046,2888]/[LCM of 101,1968]= 2/198768
Therefore, the GCF of 2046/101,2888/1968 is 2/198768.
To find the highest common factor of 2046,2888, we have to find the factors of both numbers and list the highest common factor.
The factors of 2046 are 1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023, 2046
The factors of 2888 are 1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888
The HCF of 2046,2888 is 2.
Lets's calculate GCF of 2046,2888
| 2 | 2046, 2888 |
| 1023, 1444 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2046,2888 By Matching Biggest Common Factor Method
Now, list down the factors of 2046
:1,2,3,6,11,22,31,33,62,66,93,186,341,682,1023,2046
Now, list down the factors of 2888
:1,2,4,8,19,38,76,152,361,722,1444,2888
Greatest Common Factor
We found the factors 2046,2888 . The biggest common factor number is the GCF number.
So the greatest common factor 2046,2888 is 2.
Lets's calculate LCM of 101,1968
Given numbers has no common factors except 1. So, there LCM is their product i.e 198768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198768
Therefore, the GCF of Fractions 2046/101,2888/1968 is 2/198768
Least Common Multiple of 101,1968 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 101,1968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,1968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,1968) x common factors =1 x 1 = 1
LCM(101,1968) = ( 101 × 1968 ) / 1
LCM(101,1968) = 198768 / 1
LCM(101,1968) = 198768
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FAQs on GCF of Fractions of 2046/101, 2888/1968
1. What is the HCF of 2046,2888?
The HCF of 2046,2888 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 2046/101, 2888/1968?
Answer: GCF of Numerators as per given numbers 2046/101, 2888/1968 is
GCF of Numerators i.e. for 2046,2888 is 2
LCM of denominators i.e. for 101,1968 is 198768.
Thus, GCF of Fractions is 2/198768.Finally, GCF of Fractions for 2046/101, 2888/1968 is 2/198768.