GCF of 8960/464, 4141/2675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8960/464, 4141/2675 i.e 1/1241200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8960/464, 4141/2675.
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 8960/464,4141/2675?
Given fractions are 8960/464,4141/2675
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 8960/464,4141/2675, numerators are 8960,4141
Denominators are 464,2675
The GCF of 8960,4141 is 1 .
LCM of 464,2675 is 1241200.
The greatest common factor of 8960/464,4141/2675 = [GCF of 8960,4141]/[LCM of 464,2675]= 1/1241200
Therefore, the GCF of 8960/464,4141/2675 is 1/1241200.
To find the highest common factor of 8960,4141, we have to find the factors of both numbers and list the highest common factor.
The factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960
The factors of 4141 are 1, 41, 101, 4141
The HCF of 8960,4141 is 1.
Lets's calculate GCF of 8960,4141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8960,4141 By Matching Biggest Common Factor Method
Now, list down the factors of 8960
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960
Now, list down the factors of 4141
:1,41,101,4141
Greatest Common Factor
We found the factors 8960,4141 . The biggest common factor number is the GCF number.
So the greatest common factor 8960,4141 is 1.
Lets's calculate LCM of 464,2675
Given numbers has no common factors except 1. So, there LCM is their product i.e 1241200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1241200
Therefore, the GCF of Fractions 8960/464,4141/2675 is 1/1241200
Least Common Multiple of 464,2675 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 464,2675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,2675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,2675) x common factors =1 x 1 = 1
LCM(464,2675) = ( 464 × 2675 ) / 1
LCM(464,2675) = 1241200 / 1
LCM(464,2675) = 1241200
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FAQs on GCF of Fractions of 8960/464, 4141/2675
1. What is the HCF of 8960,4141?
The HCF of 8960,4141 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 8960/464, 4141/2675?
Answer: GCF of Numerators as per given numbers 8960/464, 4141/2675 is
GCF of Numerators i.e. for 8960,4141 is 1
LCM of denominators i.e. for 464,2675 is 1241200.
Thus, GCF of Fractions is 1/1241200.Finally, GCF of Fractions for 8960/464, 4141/2675 is 1/1241200.