Use our free GCF of Fractions Calculator tool to compute the GCF of 6854/757, 1988/1668 i.e 2/1262676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6854/757, 1988/1668.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6854/757,1988/1668
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 6854/757,1988/1668, numerators are 6854,1988
Denominators are 757,1668
The GCF of 6854,1988 is 2 .
LCM of 757,1668 is 1262676.
The greatest common factor of 6854/757,1988/1668 = [GCF of 6854,1988]/[LCM of 757,1668]= 2/1262676
Therefore, the GCF of 6854/757,1988/1668 is 2/1262676.
To find the highest common factor of 6854,1988, we have to find the factors of both numbers and list the highest common factor.
The factors of 6854 are 1, 2, 23, 46, 149, 298, 3427, 6854
The factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988
The HCF of 6854,1988 is 2.
Lets's calculate GCF of 6854,1988
2 | 6854, 1988 |
3427, 994 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6854
:1,2,23,46,149,298,3427,6854
Now, list down the factors of 1988
:1,2,4,7,14,28,71,142,284,497,994,1988
Greatest Common Factor
We found the factors 6854,1988 . The biggest common factor number is the GCF number.
So the greatest common factor 6854,1988 is 2.
Lets's calculate LCM of 757,1668
Given numbers has no common factors except 1. So, there LCM is their product i.e 1262676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1262676
Therefore, the GCF of Fractions 6854/757,1988/1668 is 2/1262676
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 757,1668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,1668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,1668) x common factors =1 x 1 = 1
LCM(757,1668) = ( 757 × 1668 ) / 1
LCM(757,1668) = 1262676 / 1
LCM(757,1668) = 1262676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6854,1988?
The HCF of 6854,1988 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 6854/757, 1988/1668?
Answer: GCF of Numerators as per given numbers 6854/757, 1988/1668 is
GCF of Numerators i.e. for 6854,1988 is 2
LCM of denominators i.e. for 757,1668 is 1262676.
Thus, GCF of Fractions is 2/1262676.Finally, GCF of Fractions for 6854/757, 1988/1668 is 2/1262676.