GCF of 3611/429, 6204/9684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3611/429, 6204/9684 i.e 1/1384812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3611/429, 6204/9684.
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 3611/429,6204/9684?
Given fractions are 3611/429,6204/9684
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 3611/429,6204/9684, numerators are 3611,6204
Denominators are 429,9684
The GCF of 3611,6204 is 1 .
LCM of 429,9684 is 1384812.
The greatest common factor of 3611/429,6204/9684 = [GCF of 3611,6204]/[LCM of 429,9684]= 1/1384812
Therefore, the GCF of 3611/429,6204/9684 is 1/1384812.
To find the highest common factor of 3611,6204, we have to find the factors of both numbers and list the highest common factor.
The factors of 3611 are 1, 23, 157, 3611
The factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204
The HCF of 3611,6204 is 1.
Lets's calculate GCF of 3611,6204
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3611,6204 By Matching Biggest Common Factor Method
Now, list down the factors of 3611
:1,23,157,3611
Now, list down the factors of 6204
:1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204
Greatest Common Factor
We found the factors 3611,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 3611,6204 is 1.
Lets's calculate LCM of 429,9684
| 3 | 429, 9684 |
| 143, 3228 |
∴ So the LCM of the given numbers is 3 x 143 x 3228 = 1384812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1384812
Therefore, the GCF of Fractions 3611/429,6204/9684 is 1/1384812
Least Common Multiple of 429,9684 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 429,9684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,9684) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,9684) x common factors =3 x 1 = 3
LCM(429,9684) = ( 429 × 9684 ) / 3
LCM(429,9684) = 4154436 / 3
LCM(429,9684) = 1384812
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3611/429, 6204/9684
1. What is the HCF of 3611,6204?
The HCF of 3611,6204 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 3611/429, 6204/9684?
Answer: GCF of Numerators as per given numbers 3611/429, 6204/9684 is
GCF of Numerators i.e. for 3611,6204 is 1
LCM of denominators i.e. for 429,9684 is 1384812.
Thus, GCF of Fractions is 1/1384812.Finally, GCF of Fractions for 3611/429, 6204/9684 is 1/1384812.