GCF of 5701/214, 5121/3197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5701/214, 5121/3197 i.e 1/684158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5701/214, 5121/3197.
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 5701/214,5121/3197?
Given fractions are 5701/214,5121/3197
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 5701/214,5121/3197, numerators are 5701,5121
Denominators are 214,3197
The GCF of 5701,5121 is 1 .
LCM of 214,3197 is 684158.
The greatest common factor of 5701/214,5121/3197 = [GCF of 5701,5121]/[LCM of 214,3197]= 1/684158
Therefore, the GCF of 5701/214,5121/3197 is 1/684158.
To find the highest common factor of 5701,5121, we have to find the factors of both numbers and list the highest common factor.
The factors of 5701 are 1, 5701
The factors of 5121 are 1, 3, 9, 569, 1707, 5121
The HCF of 5701,5121 is 1.
Lets's calculate GCF of 5701,5121
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5701,5121 By Matching Biggest Common Factor Method
Now, list down the factors of 5701
:1,5701
Now, list down the factors of 5121
:1,3,9,569,1707,5121
Greatest Common Factor
We found the factors 5701,5121 . The biggest common factor number is the GCF number.
So the greatest common factor 5701,5121 is 1.
Lets's calculate LCM of 214,3197
Given numbers has no common factors except 1. So, there LCM is their product i.e 684158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684158
Therefore, the GCF of Fractions 5701/214,5121/3197 is 1/684158
Least Common Multiple of 214,3197 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 214,3197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,3197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,3197) x common factors =1 x 1 = 1
LCM(214,3197) = ( 214 × 3197 ) / 1
LCM(214,3197) = 684158 / 1
LCM(214,3197) = 684158
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FAQs on GCF of Fractions of 5701/214, 5121/3197
1. What is the HCF of 5701,5121?
The HCF of 5701,5121 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 5701/214, 5121/3197?
Answer: GCF of Numerators as per given numbers 5701/214, 5121/3197 is
GCF of Numerators i.e. for 5701,5121 is 1
LCM of denominators i.e. for 214,3197 is 684158.
Thus, GCF of Fractions is 1/684158.Finally, GCF of Fractions for 5701/214, 5121/3197 is 1/684158.