GCF of 3416/416, 2817/6869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3416/416, 2817/6869 i.e 1/2857504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3416/416, 2817/6869.
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 3416/416,2817/6869?
Given fractions are 3416/416,2817/6869
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 3416/416,2817/6869, numerators are 3416,2817
Denominators are 416,6869
The GCF of 3416,2817 is 1 .
LCM of 416,6869 is 2857504.
The greatest common factor of 3416/416,2817/6869 = [GCF of 3416,2817]/[LCM of 416,6869]= 1/2857504
Therefore, the GCF of 3416/416,2817/6869 is 1/2857504.
To find the highest common factor of 3416,2817, we have to find the factors of both numbers and list the highest common factor.
The factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416
The factors of 2817 are 1, 3, 9, 313, 939, 2817
The HCF of 3416,2817 is 1.
Lets's calculate GCF of 3416,2817
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3416,2817 By Matching Biggest Common Factor Method
Now, list down the factors of 3416
:1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416
Now, list down the factors of 2817
:1,3,9,313,939,2817
Greatest Common Factor
We found the factors 3416,2817 . The biggest common factor number is the GCF number.
So the greatest common factor 3416,2817 is 1.
Lets's calculate LCM of 416,6869
Given numbers has no common factors except 1. So, there LCM is their product i.e 2857504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2857504
Therefore, the GCF of Fractions 3416/416,2817/6869 is 1/2857504
Least Common Multiple of 416,6869 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 416,6869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,6869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(416,6869) x common factors =1 x 1 = 1
LCM(416,6869) = ( 416 × 6869 ) / 1
LCM(416,6869) = 2857504 / 1
LCM(416,6869) = 2857504
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FAQs on GCF of Fractions of 3416/416, 2817/6869
1. What is the HCF of 3416,2817?
The HCF of 3416,2817 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 3416/416, 2817/6869?
Answer: GCF of Numerators as per given numbers 3416/416, 2817/6869 is
GCF of Numerators i.e. for 3416,2817 is 1
LCM of denominators i.e. for 416,6869 is 2857504.
Thus, GCF of Fractions is 1/2857504.Finally, GCF of Fractions for 3416/416, 2817/6869 is 1/2857504.