GCF of 3197/720, 4021/4211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3197/720, 4021/4211 i.e 1/3031920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3197/720, 4021/4211.
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 3197/720,4021/4211?
Given fractions are 3197/720,4021/4211
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 3197/720,4021/4211, numerators are 3197,4021
Denominators are 720,4211
The GCF of 3197,4021 is 1 .
LCM of 720,4211 is 3031920.
The greatest common factor of 3197/720,4021/4211 = [GCF of 3197,4021]/[LCM of 720,4211]= 1/3031920
Therefore, the GCF of 3197/720,4021/4211 is 1/3031920.
To find the highest common factor of 3197,4021, we have to find the factors of both numbers and list the highest common factor.
The factors of 3197 are 1, 23, 139, 3197
The factors of 4021 are 1, 4021
The HCF of 3197,4021 is 1.
Lets's calculate GCF of 3197,4021
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3197,4021 By Matching Biggest Common Factor Method
Now, list down the factors of 3197
:1,23,139,3197
Now, list down the factors of 4021
:1,4021
Greatest Common Factor
We found the factors 3197,4021 . The biggest common factor number is the GCF number.
So the greatest common factor 3197,4021 is 1.
Lets's calculate LCM of 720,4211
Given numbers has no common factors except 1. So, there LCM is their product i.e 3031920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3031920
Therefore, the GCF of Fractions 3197/720,4021/4211 is 1/3031920
Least Common Multiple of 720,4211 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 720,4211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,4211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(720,4211) x common factors =1 x 1 = 1
LCM(720,4211) = ( 720 × 4211 ) / 1
LCM(720,4211) = 3031920 / 1
LCM(720,4211) = 3031920
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FAQs on GCF of Fractions of 3197/720, 4021/4211
1. What is the HCF of 3197,4021?
The HCF of 3197,4021 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 3197/720, 4021/4211?
Answer: GCF of Numerators as per given numbers 3197/720, 4021/4211 is
GCF of Numerators i.e. for 3197,4021 is 1
LCM of denominators i.e. for 720,4211 is 3031920.
Thus, GCF of Fractions is 1/3031920.Finally, GCF of Fractions for 3197/720, 4021/4211 is 1/3031920.