GCF of 2831/598, 3584/3327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2831/598, 3584/3327 i.e 1/1989546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2831/598, 3584/3327.
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 2831/598,3584/3327?
Given fractions are 2831/598,3584/3327
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 2831/598,3584/3327, numerators are 2831,3584
Denominators are 598,3327
The GCF of 2831,3584 is 1 .
LCM of 598,3327 is 1989546.
The greatest common factor of 2831/598,3584/3327 = [GCF of 2831,3584]/[LCM of 598,3327]= 1/1989546
Therefore, the GCF of 2831/598,3584/3327 is 1/1989546.
To find the highest common factor of 2831,3584, we have to find the factors of both numbers and list the highest common factor.
The factors of 2831 are 1, 19, 149, 2831
The factors of 3584 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584
The HCF of 2831,3584 is 1.
Lets's calculate GCF of 2831,3584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2831,3584 By Matching Biggest Common Factor Method
Now, list down the factors of 2831
:1,19,149,2831
Now, list down the factors of 3584
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584
Greatest Common Factor
We found the factors 2831,3584 . The biggest common factor number is the GCF number.
So the greatest common factor 2831,3584 is 1.
Lets's calculate LCM of 598,3327
Given numbers has no common factors except 1. So, there LCM is their product i.e 1989546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1989546
Therefore, the GCF of Fractions 2831/598,3584/3327 is 1/1989546
Least Common Multiple of 598,3327 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 598,3327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,3327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,3327) x common factors =1 x 1 = 1
LCM(598,3327) = ( 598 × 3327 ) / 1
LCM(598,3327) = 1989546 / 1
LCM(598,3327) = 1989546
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FAQs on GCF of Fractions of 2831/598, 3584/3327
1. What is the HCF of 2831,3584?
The HCF of 2831,3584 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 2831/598, 3584/3327?
Answer: GCF of Numerators as per given numbers 2831/598, 3584/3327 is
GCF of Numerators i.e. for 2831,3584 is 1
LCM of denominators i.e. for 598,3327 is 1989546.
Thus, GCF of Fractions is 1/1989546.Finally, GCF of Fractions for 2831/598, 3584/3327 is 1/1989546.