Use our free GCF of Fractions Calculator tool to compute the GCF of 35/784, 655/560, 396/456 i.e 1/223440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/784, 655/560, 396/456.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/784,655/560,396/456
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 35/784,655/560,396/456, numerators are 35,655,396
Denominators are 784,560,456
The GCF of 35,655,396 is 1 .
LCM of 784,560,456 is 223440.
The greatest common factor of 35/784,655/560,396/456 = [GCF of 35,655,396]/[LCM of 784,560,456]= 1/223440
Therefore, the GCF of 35/784,655/560,396/456 is 1/223440.
To find the highest common factor of 35,655,396, 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 655 are 1, 5, 131, 655
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
The HCF of 35,655,396 is 1.
Lets's calculate GCF of 35,655,396
∴ 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 655
:1,5,131,655
Now, list down the factors of 396
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 35,655,396 . The biggest common factor number is the GCF number.
So the greatest common factor 35,655,396 is 1.
Lets's calculate LCM of 784,560,456
2 | 784, 560, 456 |
2 | 392, 280, 228 |
2 | 196, 140, 114 |
2 | 98, 70, 57 |
7 | 49, 35, 57 |
7, 5, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 7 x 5 x 57 = 223440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223440
Therefore, the GCF of Fractions 35/784,655/560,396/456 is 1/223440
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 784,560,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,560,456) = 8
common factors(in case of two or more numbers have common factors) = 112
GCF(784,560,456) x common factors =8 x 112 = 896
LCM(784,560,456) = ( 784 × 560 × 456 ) / 896
LCM(784,560,456) = 200202240 / 896
LCM(784,560,456) = 223440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,655,396?
The HCF of 35,655,396 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 35/784, 655/560, 396/456?
Answer: GCF of Numerators as per given numbers 35/784, 655/560, 396/456 is
GCF of Numerators i.e. for 35,655,396 is 1
LCM of denominators i.e. for 784,560,456 is 223440.
Thus, GCF of Fractions is 1/223440.Finally, GCF of Fractions for 35/784, 655/560, 396/456 is 1/223440.