Use our free GCF of Fractions Calculator tool to compute the GCF of 937/704, 354/256 i.e 1/2816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/704, 354/256.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/704,354/256
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 937/704,354/256, numerators are 937,354
Denominators are 704,256
The GCF of 937,354 is 1 .
LCM of 704,256 is 2816.
The greatest common factor of 937/704,354/256 = [GCF of 937,354]/[LCM of 704,256]= 1/2816
Therefore, the GCF of 937/704,354/256 is 1/2816.
To find the highest common factor of 937,354, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The HCF of 937,354 is 1.
Lets's calculate GCF of 937,354
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 937
:1,937
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 937,354 . The biggest common factor number is the GCF number.
So the greatest common factor 937,354 is 1.
Lets's calculate LCM of 704,256
2 | 704, 256 |
2 | 352, 128 |
2 | 176, 64 |
2 | 88, 32 |
2 | 44, 16 |
2 | 22, 8 |
11, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 11 x 4 = 2816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2816
Therefore, the GCF of Fractions 937/704,354/256 is 1/2816
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 704,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,256) = 64
common factors(in case of two or more numbers have common factors) = 1
GCF(704,256) x common factors =64 x 1 = 64
LCM(704,256) = ( 704 × 256 ) / 64
LCM(704,256) = 180224 / 64
LCM(704,256) = 2816
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 937,354?
The HCF of 937,354 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 937/704, 354/256?
Answer: GCF of Numerators as per given numbers 937/704, 354/256 is
GCF of Numerators i.e. for 937,354 is 1
LCM of denominators i.e. for 704,256 is 2816.
Thus, GCF of Fractions is 1/2816.Finally, GCF of Fractions for 937/704, 354/256 is 1/2816.