Use our free GCF of Fractions Calculator tool to compute the GCF of 94/30, 657/52, 779/348 i.e 1/22620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/30, 657/52, 779/348.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/30,657/52,779/348
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 94/30,657/52,779/348, numerators are 94,657,779
Denominators are 30,52,348
The GCF of 94,657,779 is 1 .
LCM of 30,52,348 is 22620.
The greatest common factor of 94/30,657/52,779/348 = [GCF of 94,657,779]/[LCM of 30,52,348]= 1/22620
Therefore, the GCF of 94/30,657/52,779/348 is 1/22620.
To find the highest common factor of 94,657,779, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 657 are 1, 3, 9, 73, 219, 657
The factors of 779 are 1, 19, 41, 779
The HCF of 94,657,779 is 1.
Lets's calculate GCF of 94,657,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 657
:1,3,9,73,219,657
Now, list down the factors of 779
:1,19,41,779
Greatest Common Factor
We found the factors 94,657,779 . The biggest common factor number is the GCF number.
So the greatest common factor 94,657,779 is 1.
Lets's calculate LCM of 30,52,348
2 | 30, 52, 348 |
2 | 15, 26, 174 |
3 | 15, 13, 87 |
5, 13, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 29 = 22620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22620
Therefore, the GCF of Fractions 94/30,657/52,779/348 is 1/22620
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 30,52,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,52,348) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(30,52,348) x common factors =2 x 12 = 24
LCM(30,52,348) = ( 30 × 52 × 348 ) / 24
LCM(30,52,348) = 542880 / 24
LCM(30,52,348) = 22620
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,657,779?
The HCF of 94,657,779 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 94/30, 657/52, 779/348?
Answer: GCF of Numerators as per given numbers 94/30, 657/52, 779/348 is
GCF of Numerators i.e. for 94,657,779 is 1
LCM of denominators i.e. for 30,52,348 is 22620.
Thus, GCF of Fractions is 1/22620.Finally, GCF of Fractions for 94/30, 657/52, 779/348 is 1/22620.