GCF of 7934/259, 2231/4418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7934/259, 2231/4418 i.e 1/1144262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7934/259, 2231/4418.
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 7934/259,2231/4418?
Given fractions are 7934/259,2231/4418
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 7934/259,2231/4418, numerators are 7934,2231
Denominators are 259,4418
The GCF of 7934,2231 is 1 .
LCM of 259,4418 is 1144262.
The greatest common factor of 7934/259,2231/4418 = [GCF of 7934,2231]/[LCM of 259,4418]= 1/1144262
Therefore, the GCF of 7934/259,2231/4418 is 1/1144262.
To find the highest common factor of 7934,2231, we have to find the factors of both numbers and list the highest common factor.
The factors of 7934 are 1, 2, 3967, 7934
The factors of 2231 are 1, 23, 97, 2231
The HCF of 7934,2231 is 1.
Lets's calculate GCF of 7934,2231
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7934,2231 By Matching Biggest Common Factor Method
Now, list down the factors of 7934
:1,2,3967,7934
Now, list down the factors of 2231
:1,23,97,2231
Greatest Common Factor
We found the factors 7934,2231 . The biggest common factor number is the GCF number.
So the greatest common factor 7934,2231 is 1.
Lets's calculate LCM of 259,4418
Given numbers has no common factors except 1. So, there LCM is their product i.e 1144262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1144262
Therefore, the GCF of Fractions 7934/259,2231/4418 is 1/1144262
Least Common Multiple of 259,4418 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 259,4418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,4418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,4418) x common factors =1 x 1 = 1
LCM(259,4418) = ( 259 × 4418 ) / 1
LCM(259,4418) = 1144262 / 1
LCM(259,4418) = 1144262
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FAQs on GCF of Fractions of 7934/259, 2231/4418
1. What is the HCF of 7934,2231?
The HCF of 7934,2231 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 7934/259, 2231/4418?
Answer: GCF of Numerators as per given numbers 7934/259, 2231/4418 is
GCF of Numerators i.e. for 7934,2231 is 1
LCM of denominators i.e. for 259,4418 is 1144262.
Thus, GCF of Fractions is 1/1144262.Finally, GCF of Fractions for 7934/259, 2231/4418 is 1/1144262.