Use our free GCF of Fractions Calculator tool to compute the GCF of 2/63, 73/96, 78/280, 456/673 i.e 1/6783840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/63, 73/96, 78/280, 456/673.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/63,73/96,78/280,456/673
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 2/63,73/96,78/280,456/673, numerators are 2,73,78,456
Denominators are 63,96,280,673
The GCF of 2,73,78,456 is 1 .
LCM of 63,96,280,673 is 6783840.
The greatest common factor of 2/63,73/96,78/280,456/673 = [GCF of 2,73,78,456]/[LCM of 63,96,280,673]= 1/6783840
Therefore, the GCF of 2/63,73/96,78/280,456/673 is 1/6783840.
To find the highest common factor of 2,73,78,456, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 73 are 1, 73
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
The HCF of 2,73,78,456 is 1.
Lets's calculate GCF of 2,73,78,456
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2
:1,2
Now, list down the factors of 73
:1,73
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 456
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 2,73,78,456 . The biggest common factor number is the GCF number.
So the greatest common factor 2,73,78,456 is 1.
Lets's calculate LCM of 63,96,280,673
2 | 63, 96, 280, 673 |
2 | 63, 48, 140, 673 |
2 | 63, 24, 70, 673 |
3 | 63, 12, 35, 673 |
7 | 21, 4, 35, 673 |
3, 4, 5, 673 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 3 x 4 x 5 x 673 = 6783840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6783840
Therefore, the GCF of Fractions 2/63,73/96,78/280,456/673 is 1/6783840
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 63,96,280,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,96,280,673) = 1
common factors(in case of two or more numbers have common factors) = 168
GCF(63,96,280,673) x common factors =1 x 168 = 168
LCM(63,96,280,673) = ( 63 × 96 × 280 × 673 ) / 168
LCM(63,96,280,673) = 1139685120 / 168
LCM(63,96,280,673) = 6783840
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2,73,78,456?
The HCF of 2,73,78,456 is 1
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 2/63, 73/96, 78/280, 456/673?
Answer: GCF of Numerators as per given numbers 2/63, 73/96, 78/280, 456/673 is
GCF of Numerators i.e. for 2,73,78,456 is 1
LCM of denominators i.e. for 63,96,280,673 is 6783840.
Thus, GCF of Fractions is 1/6783840.Finally, GCF of Fractions for 2/63, 73/96, 78/280, 456/673 is 1/6783840.