Use our free GCF of Fractions Calculator tool to compute the GCF of 73/98, 972/94, 412/149 i.e 1/686294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/98, 972/94, 412/149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/98,972/94,412/149
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 73/98,972/94,412/149, numerators are 73,972,412
Denominators are 98,94,149
The GCF of 73,972,412 is 1 .
LCM of 98,94,149 is 686294.
The greatest common factor of 73/98,972/94,412/149 = [GCF of 73,972,412]/[LCM of 98,94,149]= 1/686294
Therefore, the GCF of 73/98,972/94,412/149 is 1/686294.
To find the highest common factor of 73,972,412, we have to find the factors of both numbers and list the highest common factor.
The factors of 73 are 1, 73
The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
The factors of 412 are 1, 2, 4, 103, 206, 412
The HCF of 73,972,412 is 1.
Lets's calculate GCF of 73,972,412
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 73
:1,73
Now, list down the factors of 972
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Now, list down the factors of 412
:1,2,4,103,206,412
Greatest Common Factor
We found the factors 73,972,412 . The biggest common factor number is the GCF number.
So the greatest common factor 73,972,412 is 1.
Lets's calculate LCM of 98,94,149
2 | 98, 94, 149 |
49, 47, 149 |
∴ So the LCM of the given numbers is 2 x 49 x 47 x 149 = 686294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/686294
Therefore, the GCF of Fractions 73/98,972/94,412/149 is 1/686294
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 98,94,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,94,149) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,94,149) x common factors =1 x 2 = 2
LCM(98,94,149) = ( 98 × 94 × 149 ) / 2
LCM(98,94,149) = 1372588 / 2
LCM(98,94,149) = 686294
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 73,972,412?
The HCF of 73,972,412 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 73/98, 972/94, 412/149?
Answer: GCF of Numerators as per given numbers 73/98, 972/94, 412/149 is
GCF of Numerators i.e. for 73,972,412 is 1
LCM of denominators i.e. for 98,94,149 is 686294.
Thus, GCF of Fractions is 1/686294.Finally, GCF of Fractions for 73/98, 972/94, 412/149 is 1/686294.