GCF of 4321/911, 4082/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4321/911, 4082/742 i.e 1/675962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4321/911, 4082/742.
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 4321/911,4082/742?
Given fractions are 4321/911,4082/742
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 4321/911,4082/742, numerators are 4321,4082
Denominators are 911,742
The GCF of 4321,4082 is 1 .
LCM of 911,742 is 675962.
The greatest common factor of 4321/911,4082/742 = [GCF of 4321,4082]/[LCM of 911,742]= 1/675962
Therefore, the GCF of 4321/911,4082/742 is 1/675962.
To find the highest common factor of 4321,4082, we have to find the factors of both numbers and list the highest common factor.
The factors of 4321 are 1, 29, 149, 4321
The factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082
The HCF of 4321,4082 is 1.
Lets's calculate GCF of 4321,4082
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4321,4082 By Matching Biggest Common Factor Method
Now, list down the factors of 4321
:1,29,149,4321
Now, list down the factors of 4082
:1,2,13,26,157,314,2041,4082
Greatest Common Factor
We found the factors 4321,4082 . The biggest common factor number is the GCF number.
So the greatest common factor 4321,4082 is 1.
Lets's calculate LCM of 911,742
Given numbers has no common factors except 1. So, there LCM is their product i.e 675962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675962
Therefore, the GCF of Fractions 4321/911,4082/742 is 1/675962
Least Common Multiple of 911,742 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 911,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,742) x common factors =1 x 1 = 1
LCM(911,742) = ( 911 × 742 ) / 1
LCM(911,742) = 675962 / 1
LCM(911,742) = 675962
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FAQs on GCF of Fractions of 4321/911, 4082/742
1. What is the HCF of 4321,4082?
The HCF of 4321,4082 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 4321/911, 4082/742?
Answer: GCF of Numerators as per given numbers 4321/911, 4082/742 is
GCF of Numerators i.e. for 4321,4082 is 1
LCM of denominators i.e. for 911,742 is 675962.
Thus, GCF of Fractions is 1/675962.Finally, GCF of Fractions for 4321/911, 4082/742 is 1/675962.