Use our free GCF of Fractions Calculator tool to compute the GCF of 3/692, 3/987 i.e 3/683004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/692, 3/987.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/692,3/987
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 3/692,3/987, numerators are 3,3
Denominators are 692,987
The GCF of 3,3 is 3 .
LCM of 692,987 is 683004.
The greatest common factor of 3/692,3/987 = [GCF of 3,3]/[LCM of 692,987]= 3/683004
Therefore, the GCF of 3/692,3/987 is 3/683004.
To find the highest common factor of 3,3, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 3 are 1, 3
The HCF of 3,3 is 3.
Lets's calculate GCF of 3,3
3 | 3, 3 |
1, 1 |
∴ So the GCF of the given numbers is 3 = 3
Lets's calculate LCM of 692,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 683004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/683004
Therefore, the GCF of Fractions 3/692,3/987 is 3/683004
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 692,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,987) x common factors =1 x 1 = 1
LCM(692,987) = ( 692 × 987 ) / 1
LCM(692,987) = 683004 / 1
LCM(692,987) = 683004
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,3?
The HCF of 3,3 is 3
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 3/692, 3/987?
Answer: GCF of Numerators as per given numbers 3/692, 3/987 is
GCF of Numerators i.e. for 3,3 is 3
LCM of denominators i.e. for 692,987 is 683004.
Thus, GCF of Fractions is 3/683004.Finally, GCF of Fractions for 3/692, 3/987 is 3/683004.