Use our free GCF of Fractions Calculator tool to compute the GCF of 48/342, 744/557, 778/854 i.e 2/81340938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/342, 744/557, 778/854.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/342,744/557,778/854
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 48/342,744/557,778/854, numerators are 48,744,778
Denominators are 342,557,854
The GCF of 48,744,778 is 2 .
LCM of 342,557,854 is 81340938.
The greatest common factor of 48/342,744/557,778/854 = [GCF of 48,744,778]/[LCM of 342,557,854]= 2/81340938
Therefore, the GCF of 48/342,744/557,778/854 is 2/81340938.
To find the highest common factor of 48,744,778, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The factors of 778 are 1, 2, 389, 778
The HCF of 48,744,778 is 2.
Lets's calculate GCF of 48,744,778
2 | 48, 744, 778 |
24, 372, 389 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Now, list down the factors of 778
:1,2,389,778
Greatest Common Factor
We found the factors 48,744,778 . The biggest common factor number is the GCF number.
So the greatest common factor 48,744,778 is 2.
Lets's calculate LCM of 342,557,854
2 | 342, 557, 854 |
171, 557, 427 |
∴ So the LCM of the given numbers is 2 x 171 x 557 x 427 = 81340938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81340938
Therefore, the GCF of Fractions 48/342,744/557,778/854 is 2/81340938
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 342,557,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,557,854) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(342,557,854) x common factors =1 x 2 = 2
LCM(342,557,854) = ( 342 × 557 × 854 ) / 2
LCM(342,557,854) = 162681876 / 2
LCM(342,557,854) = 81340938
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,744,778?
The HCF of 48,744,778 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 48/342, 744/557, 778/854?
Answer: GCF of Numerators as per given numbers 48/342, 744/557, 778/854 is
GCF of Numerators i.e. for 48,744,778 is 2
LCM of denominators i.e. for 342,557,854 is 81340938.
Thus, GCF of Fractions is 2/81340938.Finally, GCF of Fractions for 48/342, 744/557, 778/854 is 2/81340938.