Use our free GCF of Fractions Calculator tool to compute the GCF of 2/56, 74/359, 62/644 i.e 2/462392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/56, 74/359, 62/644.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/56,74/359,62/644
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 2/56,74/359,62/644, numerators are 2,74,62
Denominators are 56,359,644
The GCF of 2,74,62 is 2 .
LCM of 56,359,644 is 462392.
The greatest common factor of 2/56,74/359,62/644 = [GCF of 2,74,62]/[LCM of 56,359,644]= 2/462392
Therefore, the GCF of 2/56,74/359,62/644 is 2/462392.
To find the highest common factor of 2,74,62, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 74 are 1, 2, 37, 74
The factors of 62 are 1, 2, 31, 62
The HCF of 2,74,62 is 2.
Lets's calculate GCF of 2,74,62
2 | 2, 74, 62 |
1, 37, 31 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 2
:1,2
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 62
:1,2,31,62
Greatest Common Factor
We found the factors 2,74,62 . The biggest common factor number is the GCF number.
So the greatest common factor 2,74,62 is 2.
Lets's calculate LCM of 56,359,644
2 | 56, 359, 644 |
2 | 28, 359, 322 |
7 | 14, 359, 161 |
2, 359, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 359 x 23 = 462392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/462392
Therefore, the GCF of Fractions 2/56,74/359,62/644 is 2/462392
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 56,359,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,359,644) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(56,359,644) x common factors =1 x 28 = 28
LCM(56,359,644) = ( 56 × 359 × 644 ) / 28
LCM(56,359,644) = 12946976 / 28
LCM(56,359,644) = 462392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2,74,62?
The HCF of 2,74,62 is 2
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 2/56, 74/359, 62/644?
Answer: GCF of Numerators as per given numbers 2/56, 74/359, 62/644 is
GCF of Numerators i.e. for 2,74,62 is 2
LCM of denominators i.e. for 56,359,644 is 462392.
Thus, GCF of Fractions is 2/462392.Finally, GCF of Fractions for 2/56, 74/359, 62/644 is 2/462392.