Use our free GCF of Fractions Calculator tool to compute the GCF of 66/962, 748/584, 439/533 i.e 1/11517064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/962, 748/584, 439/533.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/962,748/584,439/533
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 66/962,748/584,439/533, numerators are 66,748,439
Denominators are 962,584,533
The GCF of 66,748,439 is 1 .
LCM of 962,584,533 is 11517064.
The greatest common factor of 66/962,748/584,439/533 = [GCF of 66,748,439]/[LCM of 962,584,533]= 1/11517064
Therefore, the GCF of 66/962,748/584,439/533 is 1/11517064.
To find the highest common factor of 66,748,439, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
The factors of 439 are 1, 439
The HCF of 66,748,439 is 1.
Lets's calculate GCF of 66,748,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 748
:1,2,4,11,17,22,34,44,68,187,374,748
Now, list down the factors of 439
:1,439
Greatest Common Factor
We found the factors 66,748,439 . The biggest common factor number is the GCF number.
So the greatest common factor 66,748,439 is 1.
Lets's calculate LCM of 962,584,533
2 | 962, 584, 533 |
13 | 481, 292, 533 |
37, 292, 41 |
∴ So the LCM of the given numbers is 2 x 13 x 37 x 292 x 41 = 11517064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11517064
Therefore, the GCF of Fractions 66/962,748/584,439/533 is 1/11517064
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 962,584,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,584,533) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(962,584,533) x common factors =1 x 26 = 26
LCM(962,584,533) = ( 962 × 584 × 533 ) / 26
LCM(962,584,533) = 299443664 / 26
LCM(962,584,533) = 11517064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 66,748,439?
The HCF of 66,748,439 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 66/962, 748/584, 439/533?
Answer: GCF of Numerators as per given numbers 66/962, 748/584, 439/533 is
GCF of Numerators i.e. for 66,748,439 is 1
LCM of denominators i.e. for 962,584,533 is 11517064.
Thus, GCF of Fractions is 1/11517064.Finally, GCF of Fractions for 66/962, 748/584, 439/533 is 1/11517064.