Use our free GCF of Fractions Calculator tool to compute the GCF of 66/62, 924/47, 473/597 i.e 11/1739658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/62, 924/47, 473/597.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/62,924/47,473/597
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 66/62,924/47,473/597, numerators are 66,924,473
Denominators are 62,47,597
The GCF of 66,924,473 is 11 .
LCM of 62,47,597 is 1739658.
The greatest common factor of 66/62,924/47,473/597 = [GCF of 66,924,473]/[LCM of 62,47,597]= 11/1739658
Therefore, the GCF of 66/62,924/47,473/597 is 11/1739658.
To find the highest common factor of 66,924,473, 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 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The factors of 473 are 1, 11, 43, 473
The HCF of 66,924,473 is 11.
Lets's calculate GCF of 66,924,473
11 | 66, 924, 473 |
6, 84, 43 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Now, list down the factors of 473
:1,11,43,473
Greatest Common Factor
We found the factors 66,924,473 . The biggest common factor number is the GCF number.
So the greatest common factor 66,924,473 is 11.
Lets's calculate LCM of 62,47,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 1739658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1739658
Therefore, the GCF of Fractions 66/62,924/47,473/597 is 11/1739658
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 62,47,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,47,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,47,597) x common factors =1 x 1 = 1
LCM(62,47,597) = ( 62 × 47 × 597 ) / 1
LCM(62,47,597) = 1739658 / 1
LCM(62,47,597) = 1739658
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 66,924,473?
The HCF of 66,924,473 is 11
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 66/62, 924/47, 473/597?
Answer: GCF of Numerators as per given numbers 66/62, 924/47, 473/597 is
GCF of Numerators i.e. for 66,924,473 is 11
LCM of denominators i.e. for 62,47,597 is 1739658.
Thus, GCF of Fractions is 11/1739658.Finally, GCF of Fractions for 66/62, 924/47, 473/597 is 11/1739658.