GCF of 3279/802, 9212/2569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3279/802, 9212/2569 i.e 1/2060338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3279/802, 9212/2569.
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 3279/802,9212/2569?
Given fractions are 3279/802,9212/2569
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 3279/802,9212/2569, numerators are 3279,9212
Denominators are 802,2569
The GCF of 3279,9212 is 1 .
LCM of 802,2569 is 2060338.
The greatest common factor of 3279/802,9212/2569 = [GCF of 3279,9212]/[LCM of 802,2569]= 1/2060338
Therefore, the GCF of 3279/802,9212/2569 is 1/2060338.
To find the highest common factor of 3279,9212, we have to find the factors of both numbers and list the highest common factor.
The factors of 3279 are 1, 3, 1093, 3279
The factors of 9212 are 1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212
The HCF of 3279,9212 is 1.
Lets's calculate GCF of 3279,9212
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3279,9212 By Matching Biggest Common Factor Method
Now, list down the factors of 3279
:1,3,1093,3279
Now, list down the factors of 9212
:1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212
Greatest Common Factor
We found the factors 3279,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 3279,9212 is 1.
Lets's calculate LCM of 802,2569
Given numbers has no common factors except 1. So, there LCM is their product i.e 2060338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2060338
Therefore, the GCF of Fractions 3279/802,9212/2569 is 1/2060338
Least Common Multiple of 802,2569 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 802,2569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,2569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,2569) x common factors =1 x 1 = 1
LCM(802,2569) = ( 802 × 2569 ) / 1
LCM(802,2569) = 2060338 / 1
LCM(802,2569) = 2060338
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FAQs on GCF of Fractions of 3279/802, 9212/2569
1. What is the HCF of 3279,9212?
The HCF of 3279,9212 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 3279/802, 9212/2569?
Answer: GCF of Numerators as per given numbers 3279/802, 9212/2569 is
GCF of Numerators i.e. for 3279,9212 is 1
LCM of denominators i.e. for 802,2569 is 2060338.
Thus, GCF of Fractions is 1/2060338.Finally, GCF of Fractions for 3279/802, 9212/2569 is 1/2060338.