Use our free GCF of Fractions Calculator tool to compute the GCF of 357/977, 336/746 i.e 21/728842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 357/977, 336/746.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 357/977,336/746
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 357/977,336/746, numerators are 357,336
Denominators are 977,746
The GCF of 357,336 is 21 .
LCM of 977,746 is 728842.
The greatest common factor of 357/977,336/746 = [GCF of 357,336]/[LCM of 977,746]= 21/728842
Therefore, the GCF of 357/977,336/746 is 21/728842.
To find the highest common factor of 357,336, we have to find the factors of both numbers and list the highest common factor.
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The HCF of 357,336 is 21.
Lets's calculate GCF of 357,336
3 | 357, 336 |
7 | 119, 112 |
17, 16 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 357,336 . The biggest common factor number is the GCF number.
So the greatest common factor 357,336 is 21.
Lets's calculate LCM of 977,746
Given numbers has no common factors except 1. So, there LCM is their product i.e 728842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/728842
Therefore, the GCF of Fractions 357/977,336/746 is 21/728842
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 977,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,746) x common factors =1 x 1 = 1
LCM(977,746) = ( 977 × 746 ) / 1
LCM(977,746) = 728842 / 1
LCM(977,746) = 728842
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 357,336?
The HCF of 357,336 is 21
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 357/977, 336/746?
Answer: GCF of Numerators as per given numbers 357/977, 336/746 is
GCF of Numerators i.e. for 357,336 is 21
LCM of denominators i.e. for 977,746 is 728842.
Thus, GCF of Fractions is 21/728842.Finally, GCF of Fractions for 357/977, 336/746 is 21/728842.