Use our free GCF of Fractions Calculator tool to compute the GCF of 311/657, 677/214, 745/668 i.e 1/46959732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/657, 677/214, 745/668.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 311/657,677/214,745/668
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 311/657,677/214,745/668, numerators are 311,677,745
Denominators are 657,214,668
The GCF of 311,677,745 is 1 .
LCM of 657,214,668 is 46959732.
The greatest common factor of 311/657,677/214,745/668 = [GCF of 311,677,745]/[LCM of 657,214,668]= 1/46959732
Therefore, the GCF of 311/657,677/214,745/668 is 1/46959732.
To find the highest common factor of 311,677,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 311 are 1, 311
The factors of 677 are 1, 677
The factors of 745 are 1, 5, 149, 745
The HCF of 311,677,745 is 1.
Lets's calculate GCF of 311,677,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 311
:1,311
Now, list down the factors of 677
:1,677
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 311,677,745 . The biggest common factor number is the GCF number.
So the greatest common factor 311,677,745 is 1.
Lets's calculate LCM of 657,214,668
2 | 657, 214, 668 |
657, 107, 334 |
∴ So the LCM of the given numbers is 2 x 657 x 107 x 334 = 46959732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46959732
Therefore, the GCF of Fractions 311/657,677/214,745/668 is 1/46959732
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 657,214,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,214,668) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(657,214,668) x common factors =1 x 2 = 2
LCM(657,214,668) = ( 657 × 214 × 668 ) / 2
LCM(657,214,668) = 93919464 / 2
LCM(657,214,668) = 46959732
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 311,677,745?
The HCF of 311,677,745 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 311/657, 677/214, 745/668?
Answer: GCF of Numerators as per given numbers 311/657, 677/214, 745/668 is
GCF of Numerators i.e. for 311,677,745 is 1
LCM of denominators i.e. for 657,214,668 is 46959732.
Thus, GCF of Fractions is 1/46959732.Finally, GCF of Fractions for 311/657, 677/214, 745/668 is 1/46959732.