GCF of 935/756, 779/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 935/756, 779/309 i.e 1/77868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/756, 779/309.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 935/756,779/309?
Given fractions are 935/756,779/309
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 935/756,779/309, numerators are 935,779
Denominators are 756,309
The GCF of 935,779 is 1 .
LCM of 756,309 is 77868.
The greatest common factor of 935/756,779/309 = [GCF of 935,779]/[LCM of 756,309]= 1/77868
Therefore, the GCF of 935/756,779/309 is 1/77868.
To find the highest common factor of 935,779, we have to find the factors of both numbers and list the highest common factor.
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The factors of 779 are 1, 19, 41, 779
The HCF of 935,779 is 1.
Lets's calculate GCF of 935,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 935,779 By Matching Biggest Common Factor Method
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Now, list down the factors of 779
:1,19,41,779
Greatest Common Factor
We found the factors 935,779 . The biggest common factor number is the GCF number.
So the greatest common factor 935,779 is 1.
Lets's calculate LCM of 756,309
| 3 | 756, 309 |
| 252, 103 |
∴ So the LCM of the given numbers is 3 x 252 x 103 = 77868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77868
Therefore, the GCF of Fractions 935/756,779/309 is 1/77868
Least Common Multiple of 756,309 with GCF Formula
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 756,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,309) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(756,309) x common factors =3 x 1 = 3
LCM(756,309) = ( 756 × 309 ) / 3
LCM(756,309) = 233604 / 3
LCM(756,309) = 77868
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FAQs on GCF of Fractions of 935/756, 779/309
1. What is the HCF of 935,779?
The HCF of 935,779 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 935/756, 779/309?
Answer: GCF of Numerators as per given numbers 935/756, 779/309 is
GCF of Numerators i.e. for 935,779 is 1
LCM of denominators i.e. for 756,309 is 77868.
Thus, GCF of Fractions is 1/77868.Finally, GCF of Fractions for 935/756, 779/309 is 1/77868.