GCF of 3277/350, 2091/8319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3277/350, 2091/8319 i.e 1/2911650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3277/350, 2091/8319.
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 3277/350,2091/8319?
Given fractions are 3277/350,2091/8319
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 3277/350,2091/8319, numerators are 3277,2091
Denominators are 350,8319
The GCF of 3277,2091 is 1 .
LCM of 350,8319 is 2911650.
The greatest common factor of 3277/350,2091/8319 = [GCF of 3277,2091]/[LCM of 350,8319]= 1/2911650
Therefore, the GCF of 3277/350,2091/8319 is 1/2911650.
To find the highest common factor of 3277,2091, we have to find the factors of both numbers and list the highest common factor.
The factors of 3277 are 1, 29, 113, 3277
The factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091
The HCF of 3277,2091 is 1.
Lets's calculate GCF of 3277,2091
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3277,2091 By Matching Biggest Common Factor Method
Now, list down the factors of 3277
:1,29,113,3277
Now, list down the factors of 2091
:1,3,17,41,51,123,697,2091
Greatest Common Factor
We found the factors 3277,2091 . The biggest common factor number is the GCF number.
So the greatest common factor 3277,2091 is 1.
Lets's calculate LCM of 350,8319
Given numbers has no common factors except 1. So, there LCM is their product i.e 2911650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2911650
Therefore, the GCF of Fractions 3277/350,2091/8319 is 1/2911650
Least Common Multiple of 350,8319 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 350,8319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,8319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(350,8319) x common factors =1 x 1 = 1
LCM(350,8319) = ( 350 × 8319 ) / 1
LCM(350,8319) = 2911650 / 1
LCM(350,8319) = 2911650
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FAQs on GCF of Fractions of 3277/350, 2091/8319
1. What is the HCF of 3277,2091?
The HCF of 3277,2091 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 3277/350, 2091/8319?
Answer: GCF of Numerators as per given numbers 3277/350, 2091/8319 is
GCF of Numerators i.e. for 3277,2091 is 1
LCM of denominators i.e. for 350,8319 is 2911650.
Thus, GCF of Fractions is 1/2911650.Finally, GCF of Fractions for 3277/350, 2091/8319 is 1/2911650.