GCF of 3575/601, 1231/2944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3575/601, 1231/2944 i.e 1/1769344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3575/601, 1231/2944.
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 3575/601,1231/2944?
Given fractions are 3575/601,1231/2944
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 3575/601,1231/2944, numerators are 3575,1231
Denominators are 601,2944
The GCF of 3575,1231 is 1 .
LCM of 601,2944 is 1769344.
The greatest common factor of 3575/601,1231/2944 = [GCF of 3575,1231]/[LCM of 601,2944]= 1/1769344
Therefore, the GCF of 3575/601,1231/2944 is 1/1769344.
To find the highest common factor of 3575,1231, we have to find the factors of both numbers and list the highest common factor.
The factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575
The factors of 1231 are 1, 1231
The HCF of 3575,1231 is 1.
Lets's calculate GCF of 3575,1231
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3575,1231 By Matching Biggest Common Factor Method
Now, list down the factors of 3575
:1,5,11,13,25,55,65,143,275,325,715,3575
Now, list down the factors of 1231
:1,1231
Greatest Common Factor
We found the factors 3575,1231 . The biggest common factor number is the GCF number.
So the greatest common factor 3575,1231 is 1.
Lets's calculate LCM of 601,2944
Given numbers has no common factors except 1. So, there LCM is their product i.e 1769344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1769344
Therefore, the GCF of Fractions 3575/601,1231/2944 is 1/1769344
Least Common Multiple of 601,2944 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 601,2944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,2944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,2944) x common factors =1 x 1 = 1
LCM(601,2944) = ( 601 × 2944 ) / 1
LCM(601,2944) = 1769344 / 1
LCM(601,2944) = 1769344
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FAQs on GCF of Fractions of 3575/601, 1231/2944
1. What is the HCF of 3575,1231?
The HCF of 3575,1231 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 3575/601, 1231/2944?
Answer: GCF of Numerators as per given numbers 3575/601, 1231/2944 is
GCF of Numerators i.e. for 3575,1231 is 1
LCM of denominators i.e. for 601,2944 is 1769344.
Thus, GCF of Fractions is 1/1769344.Finally, GCF of Fractions for 3575/601, 1231/2944 is 1/1769344.