GCF of 11/935, 46/935, 413/756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/935, 46/935, 413/756 i.e 1/706860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/935, 46/935, 413/756.
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 11/935,46/935,413/756?
Given fractions are 11/935,46/935,413/756
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 11/935,46/935,413/756, numerators are 11,46,413
Denominators are 935,935,756
The GCF of 11,46,413 is 1 .
LCM of 935,935,756 is 706860.
The greatest common factor of 11/935,46/935,413/756 = [GCF of 11,46,413]/[LCM of 935,935,756]= 1/706860
Therefore, the GCF of 11/935,46/935,413/756 is 1/706860.
To find the highest common factor of 11,46,413, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 46 are 1, 2, 23, 46
The factors of 413 are 1, 7, 59, 413
The HCF of 11,46,413 is 1.
Lets's calculate GCF of 11,46,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,46,413 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 413
:1,7,59,413
Greatest Common Factor
We found the factors 11,46,413 . The biggest common factor number is the GCF number.
So the greatest common factor 11,46,413 is 1.
Lets's calculate LCM of 935,935,756
| 5 | 935, 935, 756 |
| 11 | 187, 187, 756 |
| 17 | 17, 17, 756 |
| 1, 1, 756 |
∴ So the LCM of the given numbers is 5 x 11 x 17 x 1 x 1 x 756 = 706860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706860
Therefore, the GCF of Fractions 11/935,46/935,413/756 is 1/706860
Least Common Multiple of 935,935,756 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 935,935,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,935,756) = 1
common factors(in case of two or more numbers have common factors) = 935
GCF(935,935,756) x common factors =1 x 935 = 935
LCM(935,935,756) = ( 935 × 935 × 756 ) / 935
LCM(935,935,756) = 660914100 / 935
LCM(935,935,756) = 706860
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FAQs on GCF of Fractions of 11/935, 46/935, 413/756
1. What is the HCF of 11,46,413?
The HCF of 11,46,413 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 11/935, 46/935, 413/756?
Answer: GCF of Numerators as per given numbers 11/935, 46/935, 413/756 is
GCF of Numerators i.e. for 11,46,413 is 1
LCM of denominators i.e. for 935,935,756 is 706860.
Thus, GCF of Fractions is 1/706860.Finally, GCF of Fractions for 11/935, 46/935, 413/756 is 1/706860.