GCF of 8484/241, 1451/3639
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8484/241, 1451/3639 i.e 1/876999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8484/241, 1451/3639.
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 8484/241,1451/3639?
Given fractions are 8484/241,1451/3639
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 8484/241,1451/3639, numerators are 8484,1451
Denominators are 241,3639
The GCF of 8484,1451 is 1 .
LCM of 241,3639 is 876999.
The greatest common factor of 8484/241,1451/3639 = [GCF of 8484,1451]/[LCM of 241,3639]= 1/876999
Therefore, the GCF of 8484/241,1451/3639 is 1/876999.
To find the highest common factor of 8484,1451, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1451 are 1, 1451
The HCF of 8484,1451 is 1.
Lets's calculate GCF of 8484,1451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8484,1451 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1451
:1,1451
Greatest Common Factor
We found the factors 8484,1451 . The biggest common factor number is the GCF number.
So the greatest common factor 8484,1451 is 1.
Lets's calculate LCM of 241,3639
Given numbers has no common factors except 1. So, there LCM is their product i.e 876999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/876999
Therefore, the GCF of Fractions 8484/241,1451/3639 is 1/876999
Least Common Multiple of 241,3639 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 241,3639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,3639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,3639) x common factors =1 x 1 = 1
LCM(241,3639) = ( 241 × 3639 ) / 1
LCM(241,3639) = 876999 / 1
LCM(241,3639) = 876999
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FAQs on GCF of Fractions of 8484/241, 1451/3639
1. What is the HCF of 8484,1451?
The HCF of 8484,1451 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 8484/241, 1451/3639?
Answer: GCF of Numerators as per given numbers 8484/241, 1451/3639 is
GCF of Numerators i.e. for 8484,1451 is 1
LCM of denominators i.e. for 241,3639 is 876999.
Thus, GCF of Fractions is 1/876999.Finally, GCF of Fractions for 8484/241, 1451/3639 is 1/876999.