Use our free GCF of Fractions Calculator tool to compute the GCF of 535/966, 546/704 i.e 1/340032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 535/966, 546/704.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 535/966,546/704
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 535/966,546/704, numerators are 535,546
Denominators are 966,704
The GCF of 535,546 is 1 .
LCM of 966,704 is 340032.
The greatest common factor of 535/966,546/704 = [GCF of 535,546]/[LCM of 966,704]= 1/340032
Therefore, the GCF of 535/966,546/704 is 1/340032.
To find the highest common factor of 535,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 535 are 1, 5, 107, 535
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 535,546 is 1.
Lets's calculate GCF of 535,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 535
:1,5,107,535
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 535,546 . The biggest common factor number is the GCF number.
So the greatest common factor 535,546 is 1.
Lets's calculate LCM of 966,704
2 | 966, 704 |
483, 352 |
∴ So the LCM of the given numbers is 2 x 483 x 352 = 340032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340032
Therefore, the GCF of Fractions 535/966,546/704 is 1/340032
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 966,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,704) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,704) x common factors =2 x 1 = 2
LCM(966,704) = ( 966 × 704 ) / 2
LCM(966,704) = 680064 / 2
LCM(966,704) = 340032
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 535,546?
The HCF of 535,546 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 535/966, 546/704?
Answer: GCF of Numerators as per given numbers 535/966, 546/704 is
GCF of Numerators i.e. for 535,546 is 1
LCM of denominators i.e. for 966,704 is 340032.
Thus, GCF of Fractions is 1/340032.Finally, GCF of Fractions for 535/966, 546/704 is 1/340032.