Use our free GCF of Fractions Calculator tool to compute the GCF of 62/43, 771/40, 779/852 i.e 1/366360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/43, 771/40, 779/852.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/43,771/40,779/852
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 62/43,771/40,779/852, numerators are 62,771,779
Denominators are 43,40,852
The GCF of 62,771,779 is 1 .
LCM of 43,40,852 is 366360.
The greatest common factor of 62/43,771/40,779/852 = [GCF of 62,771,779]/[LCM of 43,40,852]= 1/366360
Therefore, the GCF of 62/43,771/40,779/852 is 1/366360.
To find the highest common factor of 62,771,779, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 771 are 1, 3, 257, 771
The factors of 779 are 1, 19, 41, 779
The HCF of 62,771,779 is 1.
Lets's calculate GCF of 62,771,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 771
:1,3,257,771
Now, list down the factors of 779
:1,19,41,779
Greatest Common Factor
We found the factors 62,771,779 . The biggest common factor number is the GCF number.
So the greatest common factor 62,771,779 is 1.
Lets's calculate LCM of 43,40,852
2 | 43, 40, 852 |
2 | 43, 20, 426 |
43, 10, 213 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 10 x 213 = 366360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366360
Therefore, the GCF of Fractions 62/43,771/40,779/852 is 1/366360
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 43,40,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,40,852) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(43,40,852) x common factors =1 x 4 = 4
LCM(43,40,852) = ( 43 × 40 × 852 ) / 4
LCM(43,40,852) = 1465440 / 4
LCM(43,40,852) = 366360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 62,771,779?
The HCF of 62,771,779 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 62/43, 771/40, 779/852?
Answer: GCF of Numerators as per given numbers 62/43, 771/40, 779/852 is
GCF of Numerators i.e. for 62,771,779 is 1
LCM of denominators i.e. for 43,40,852 is 366360.
Thus, GCF of Fractions is 1/366360.Finally, GCF of Fractions for 62/43, 771/40, 779/852 is 1/366360.