Use our free GCF of Fractions Calculator tool to compute the GCF of 472/684, 942/377 i.e 2/257868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 472/684, 942/377.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 472/684,942/377
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 472/684,942/377, numerators are 472,942
Denominators are 684,377
The GCF of 472,942 is 2 .
LCM of 684,377 is 257868.
The greatest common factor of 472/684,942/377 = [GCF of 472,942]/[LCM of 684,377]= 2/257868
Therefore, the GCF of 472/684,942/377 is 2/257868.
To find the highest common factor of 472,942, we have to find the factors of both numbers and list the highest common factor.
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The HCF of 472,942 is 2.
Lets's calculate GCF of 472,942
2 | 472, 942 |
236, 471 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 472
:1,2,4,8,59,118,236,472
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 472,942 . The biggest common factor number is the GCF number.
So the greatest common factor 472,942 is 2.
Lets's calculate LCM of 684,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 257868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/257868
Therefore, the GCF of Fractions 472/684,942/377 is 2/257868
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 684,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,377) x common factors =1 x 1 = 1
LCM(684,377) = ( 684 × 377 ) / 1
LCM(684,377) = 257868 / 1
LCM(684,377) = 257868
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 472,942?
The HCF of 472,942 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 472/684, 942/377?
Answer: GCF of Numerators as per given numbers 472/684, 942/377 is
GCF of Numerators i.e. for 472,942 is 2
LCM of denominators i.e. for 684,377 is 257868.
Thus, GCF of Fractions is 2/257868.Finally, GCF of Fractions for 472/684, 942/377 is 2/257868.