GCF of 11/943, 379/829, 664/513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/943, 379/829, 664/513 i.e 1/401036211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/943, 379/829, 664/513.
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 11/943,379/829,664/513?
Given fractions are 11/943,379/829,664/513
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 11/943,379/829,664/513, numerators are 11,379,664
Denominators are 943,829,513
The GCF of 11,379,664 is 1 .
LCM of 943,829,513 is 401036211.
The greatest common factor of 11/943,379/829,664/513 = [GCF of 11,379,664]/[LCM of 943,829,513]= 1/401036211
Therefore, the GCF of 11/943,379/829,664/513 is 1/401036211.
To find the highest common factor of 11,379,664, 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 379 are 1, 379
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The HCF of 11,379,664 is 1.
Lets's calculate GCF of 11,379,664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,379,664 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 379
:1,379
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 11,379,664 . The biggest common factor number is the GCF number.
So the greatest common factor 11,379,664 is 1.
Lets's calculate LCM of 943,829,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 401036211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401036211
Therefore, the GCF of Fractions 11/943,379/829,664/513 is 1/401036211
Least Common Multiple of 943,829,513 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 943,829,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,829,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,829,513) x common factors =1 x 1 = 1
LCM(943,829,513) = ( 943 × 829 × 513 ) / 1
LCM(943,829,513) = 401036211 / 1
LCM(943,829,513) = 401036211
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FAQs on GCF of Fractions of 11/943, 379/829, 664/513
1. What is the HCF of 11,379,664?
The HCF of 11,379,664 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 11/943, 379/829, 664/513?
Answer: GCF of Numerators as per given numbers 11/943, 379/829, 664/513 is
GCF of Numerators i.e. for 11,379,664 is 1
LCM of denominators i.e. for 943,829,513 is 401036211.
Thus, GCF of Fractions is 1/401036211.Finally, GCF of Fractions for 11/943, 379/829, 664/513 is 1/401036211.