GCF of 8981/376, 8672/2621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8981/376, 8672/2621 i.e 1/985496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8981/376, 8672/2621.
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 8981/376,8672/2621?
Given fractions are 8981/376,8672/2621
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 8981/376,8672/2621, numerators are 8981,8672
Denominators are 376,2621
The GCF of 8981,8672 is 1 .
LCM of 376,2621 is 985496.
The greatest common factor of 8981/376,8672/2621 = [GCF of 8981,8672]/[LCM of 376,2621]= 1/985496
Therefore, the GCF of 8981/376,8672/2621 is 1/985496.
To find the highest common factor of 8981,8672, we have to find the factors of both numbers and list the highest common factor.
The factors of 8981 are 1, 7, 1283, 8981
The factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672
The HCF of 8981,8672 is 1.
Lets's calculate GCF of 8981,8672
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8981,8672 By Matching Biggest Common Factor Method
Now, list down the factors of 8981
:1,7,1283,8981
Now, list down the factors of 8672
:1,2,4,8,16,32,271,542,1084,2168,4336,8672
Greatest Common Factor
We found the factors 8981,8672 . The biggest common factor number is the GCF number.
So the greatest common factor 8981,8672 is 1.
Lets's calculate LCM of 376,2621
Given numbers has no common factors except 1. So, there LCM is their product i.e 985496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/985496
Therefore, the GCF of Fractions 8981/376,8672/2621 is 1/985496
Least Common Multiple of 376,2621 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 376,2621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,2621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,2621) x common factors =1 x 1 = 1
LCM(376,2621) = ( 376 × 2621 ) / 1
LCM(376,2621) = 985496 / 1
LCM(376,2621) = 985496
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8981/376, 8672/2621
1. What is the HCF of 8981,8672?
The HCF of 8981,8672 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 8981/376, 8672/2621?
Answer: GCF of Numerators as per given numbers 8981/376, 8672/2621 is
GCF of Numerators i.e. for 8981,8672 is 1
LCM of denominators i.e. for 376,2621 is 985496.
Thus, GCF of Fractions is 1/985496.Finally, GCF of Fractions for 8981/376, 8672/2621 is 1/985496.