Use our free GCF of Fractions Calculator tool to compute the GCF of 35/456, 87/921, 546/463 i.e 1/64816296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/456, 87/921, 546/463.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/456,87/921,546/463
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 35/456,87/921,546/463, numerators are 35,87,546
Denominators are 456,921,463
The GCF of 35,87,546 is 1 .
LCM of 456,921,463 is 64816296.
The greatest common factor of 35/456,87/921,546/463 = [GCF of 35,87,546]/[LCM of 456,921,463]= 1/64816296
Therefore, the GCF of 35/456,87/921,546/463 is 1/64816296.
To find the highest common factor of 35,87,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 87 are 1, 3, 29, 87
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 35,87,546 is 1.
Lets's calculate GCF of 35,87,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 87
:1,3,29,87
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 35,87,546 . The biggest common factor number is the GCF number.
So the greatest common factor 35,87,546 is 1.
Lets's calculate LCM of 456,921,463
3 | 456, 921, 463 |
152, 307, 463 |
∴ So the LCM of the given numbers is 3 x 152 x 307 x 463 = 64816296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64816296
Therefore, the GCF of Fractions 35/456,87/921,546/463 is 1/64816296
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 456,921,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,921,463) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(456,921,463) x common factors =1 x 3 = 3
LCM(456,921,463) = ( 456 × 921 × 463 ) / 3
LCM(456,921,463) = 194448888 / 3
LCM(456,921,463) = 64816296
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,87,546?
The HCF of 35,87,546 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 35/456, 87/921, 546/463?
Answer: GCF of Numerators as per given numbers 35/456, 87/921, 546/463 is
GCF of Numerators i.e. for 35,87,546 is 1
LCM of denominators i.e. for 456,921,463 is 64816296.
Thus, GCF of Fractions is 1/64816296.Finally, GCF of Fractions for 35/456, 87/921, 546/463 is 1/64816296.