Use our free GCF of Fractions Calculator tool to compute the GCF of 48/540, 716/206, 678/692 i.e 2/9622260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/540, 716/206, 678/692.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/540,716/206,678/692
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 48/540,716/206,678/692, numerators are 48,716,678
Denominators are 540,206,692
The GCF of 48,716,678 is 2 .
LCM of 540,206,692 is 9622260.
The greatest common factor of 48/540,716/206,678/692 = [GCF of 48,716,678]/[LCM of 540,206,692]= 2/9622260
Therefore, the GCF of 48/540,716/206,678/692 is 2/9622260.
To find the highest common factor of 48,716,678, 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 716 are 1, 2, 4, 179, 358, 716
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 48,716,678 is 2.
Lets's calculate GCF of 48,716,678
2 | 48, 716, 678 |
24, 358, 339 |
∴ 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 716
:1,2,4,179,358,716
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 48,716,678 . The biggest common factor number is the GCF number.
So the greatest common factor 48,716,678 is 2.
Lets's calculate LCM of 540,206,692
2 | 540, 206, 692 |
2 | 270, 103, 346 |
135, 103, 173 |
∴ So the LCM of the given numbers is 2 x 2 x 135 x 103 x 173 = 9622260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9622260
Therefore, the GCF of Fractions 48/540,716/206,678/692 is 2/9622260
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 540,206,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,206,692) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(540,206,692) x common factors =2 x 4 = 8
LCM(540,206,692) = ( 540 × 206 × 692 ) / 8
LCM(540,206,692) = 76978080 / 8
LCM(540,206,692) = 9622260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,716,678?
The HCF of 48,716,678 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 48/540, 716/206, 678/692?
Answer: GCF of Numerators as per given numbers 48/540, 716/206, 678/692 is
GCF of Numerators i.e. for 48,716,678 is 2
LCM of denominators i.e. for 540,206,692 is 9622260.
Thus, GCF of Fractions is 2/9622260.Finally, GCF of Fractions for 48/540, 716/206, 678/692 is 2/9622260.