GCF of 4236/521, 3619/8487
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4236/521, 3619/8487 i.e 1/4421727 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4236/521, 3619/8487.
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 4236/521,3619/8487?
Given fractions are 4236/521,3619/8487
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 4236/521,3619/8487, numerators are 4236,3619
Denominators are 521,8487
The GCF of 4236,3619 is 1 .
LCM of 521,8487 is 4421727.
The greatest common factor of 4236/521,3619/8487 = [GCF of 4236,3619]/[LCM of 521,8487]= 1/4421727
Therefore, the GCF of 4236/521,3619/8487 is 1/4421727.
To find the highest common factor of 4236,3619, we have to find the factors of both numbers and list the highest common factor.
The factors of 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236
The factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619
The HCF of 4236,3619 is 1.
Lets's calculate GCF of 4236,3619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4236,3619 By Matching Biggest Common Factor Method
Now, list down the factors of 4236
:1,2,3,4,6,12,353,706,1059,1412,2118,4236
Now, list down the factors of 3619
:1,7,11,47,77,329,517,3619
Greatest Common Factor
We found the factors 4236,3619 . The biggest common factor number is the GCF number.
So the greatest common factor 4236,3619 is 1.
Lets's calculate LCM of 521,8487
Given numbers has no common factors except 1. So, there LCM is their product i.e 4421727
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4421727
Therefore, the GCF of Fractions 4236/521,3619/8487 is 1/4421727
Least Common Multiple of 521,8487 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 521,8487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,8487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,8487) x common factors =1 x 1 = 1
LCM(521,8487) = ( 521 × 8487 ) / 1
LCM(521,8487) = 4421727 / 1
LCM(521,8487) = 4421727
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FAQs on GCF of Fractions of 4236/521, 3619/8487
1. What is the HCF of 4236,3619?
The HCF of 4236,3619 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 4236/521, 3619/8487?
Answer: GCF of Numerators as per given numbers 4236/521, 3619/8487 is
GCF of Numerators i.e. for 4236,3619 is 1
LCM of denominators i.e. for 521,8487 is 4421727.
Thus, GCF of Fractions is 1/4421727.Finally, GCF of Fractions for 4236/521, 3619/8487 is 1/4421727.