GCF of 3235/812, 8484/3461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3235/812, 8484/3461 i.e 1/2810332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3235/812, 8484/3461.
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 3235/812,8484/3461?
Given fractions are 3235/812,8484/3461
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 3235/812,8484/3461, numerators are 3235,8484
Denominators are 812,3461
The GCF of 3235,8484 is 1 .
LCM of 812,3461 is 2810332.
The greatest common factor of 3235/812,8484/3461 = [GCF of 3235,8484]/[LCM of 812,3461]= 1/2810332
Therefore, the GCF of 3235/812,8484/3461 is 1/2810332.
To find the highest common factor of 3235,8484, we have to find the factors of both numbers and list the highest common factor.
The factors of 3235 are 1, 5, 647, 3235
The factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484
The HCF of 3235,8484 is 1.
Lets's calculate GCF of 3235,8484
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3235,8484 By Matching Biggest Common Factor Method
Now, list down the factors of 3235
:1,5,647,3235
Now, list down the factors of 8484
:1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484
Greatest Common Factor
We found the factors 3235,8484 . The biggest common factor number is the GCF number.
So the greatest common factor 3235,8484 is 1.
Lets's calculate LCM of 812,3461
Given numbers has no common factors except 1. So, there LCM is their product i.e 2810332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2810332
Therefore, the GCF of Fractions 3235/812,8484/3461 is 1/2810332
Least Common Multiple of 812,3461 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 812,3461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,3461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,3461) x common factors =1 x 1 = 1
LCM(812,3461) = ( 812 × 3461 ) / 1
LCM(812,3461) = 2810332 / 1
LCM(812,3461) = 2810332
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FAQs on GCF of Fractions of 3235/812, 8484/3461
1. What is the HCF of 3235,8484?
The HCF of 3235,8484 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 3235/812, 8484/3461?
Answer: GCF of Numerators as per given numbers 3235/812, 8484/3461 is
GCF of Numerators i.e. for 3235,8484 is 1
LCM of denominators i.e. for 812,3461 is 2810332.
Thus, GCF of Fractions is 1/2810332.Finally, GCF of Fractions for 3235/812, 8484/3461 is 1/2810332.