Use our free GCF of Fractions Calculator tool to compute the GCF of 779/908, 695/320 i.e 1/72640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/908, 695/320.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/908,695/320
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 779/908,695/320, numerators are 779,695
Denominators are 908,320
The GCF of 779,695 is 1 .
LCM of 908,320 is 72640.
The greatest common factor of 779/908,695/320 = [GCF of 779,695]/[LCM of 908,320]= 1/72640
Therefore, the GCF of 779/908,695/320 is 1/72640.
To find the highest common factor of 779,695, we have to find the factors of both numbers and list the highest common factor.
The factors of 779 are 1, 19, 41, 779
The factors of 695 are 1, 5, 139, 695
The HCF of 779,695 is 1.
Lets's calculate GCF of 779,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 695
:1,5,139,695
Greatest Common Factor
We found the factors 779,695 . The biggest common factor number is the GCF number.
So the greatest common factor 779,695 is 1.
Lets's calculate LCM of 908,320
2 | 908, 320 |
2 | 454, 160 |
227, 80 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 80 = 72640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72640
Therefore, the GCF of Fractions 779/908,695/320 is 1/72640
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 908,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,320) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(908,320) x common factors =4 x 1 = 4
LCM(908,320) = ( 908 × 320 ) / 4
LCM(908,320) = 290560 / 4
LCM(908,320) = 72640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 779,695?
The HCF of 779,695 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 779/908, 695/320?
Answer: GCF of Numerators as per given numbers 779/908, 695/320 is
GCF of Numerators i.e. for 779,695 is 1
LCM of denominators i.e. for 908,320 is 72640.
Thus, GCF of Fractions is 1/72640.Finally, GCF of Fractions for 779/908, 695/320 is 1/72640.