GCF of 1988/256, 3286/2786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1988/256, 3286/2786 i.e 2/356608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1988/256, 3286/2786.
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 1988/256,3286/2786?
Given fractions are 1988/256,3286/2786
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 1988/256,3286/2786, numerators are 1988,3286
Denominators are 256,2786
The GCF of 1988,3286 is 2 .
LCM of 256,2786 is 356608.
The greatest common factor of 1988/256,3286/2786 = [GCF of 1988,3286]/[LCM of 256,2786]= 2/356608
Therefore, the GCF of 1988/256,3286/2786 is 2/356608.
To find the highest common factor of 1988,3286, we have to find the factors of both numbers and list the highest common factor.
The factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988
The factors of 3286 are 1, 2, 31, 53, 62, 106, 1643, 3286
The HCF of 1988,3286 is 2.
Lets's calculate GCF of 1988,3286
| 2 | 1988, 3286 |
| 994, 1643 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1988,3286 By Matching Biggest Common Factor Method
Now, list down the factors of 1988
:1,2,4,7,14,28,71,142,284,497,994,1988
Now, list down the factors of 3286
:1,2,31,53,62,106,1643,3286
Greatest Common Factor
We found the factors 1988,3286 . The biggest common factor number is the GCF number.
So the greatest common factor 1988,3286 is 2.
Lets's calculate LCM of 256,2786
| 2 | 256, 2786 |
| 128, 1393 |
∴ So the LCM of the given numbers is 2 x 128 x 1393 = 356608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/356608
Therefore, the GCF of Fractions 1988/256,3286/2786 is 2/356608
Least Common Multiple of 256,2786 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 256,2786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,2786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,2786) x common factors =2 x 1 = 2
LCM(256,2786) = ( 256 × 2786 ) / 2
LCM(256,2786) = 713216 / 2
LCM(256,2786) = 356608
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FAQs on GCF of Fractions of 1988/256, 3286/2786
1. What is the HCF of 1988,3286?
The HCF of 1988,3286 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 1988/256, 3286/2786?
Answer: GCF of Numerators as per given numbers 1988/256, 3286/2786 is
GCF of Numerators i.e. for 1988,3286 is 2
LCM of denominators i.e. for 256,2786 is 356608.
Thus, GCF of Fractions is 2/356608.Finally, GCF of Fractions for 1988/256, 3286/2786 is 2/356608.