GCF of 2391/683, 4151/479
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2391/683, 4151/479 i.e 1/327157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2391/683, 4151/479.
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 2391/683,4151/479?
Given fractions are 2391/683,4151/479
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 2391/683,4151/479, numerators are 2391,4151
Denominators are 683,479
The GCF of 2391,4151 is 1 .
LCM of 683,479 is 327157.
The greatest common factor of 2391/683,4151/479 = [GCF of 2391,4151]/[LCM of 683,479]= 1/327157
Therefore, the GCF of 2391/683,4151/479 is 1/327157.
To find the highest common factor of 2391,4151, we have to find the factors of both numbers and list the highest common factor.
The factors of 2391 are 1, 3, 797, 2391
The factors of 4151 are 1, 7, 593, 4151
The HCF of 2391,4151 is 1.
Lets's calculate GCF of 2391,4151
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2391,4151 By Matching Biggest Common Factor Method
Now, list down the factors of 2391
:1,3,797,2391
Now, list down the factors of 4151
:1,7,593,4151
Greatest Common Factor
We found the factors 2391,4151 . The biggest common factor number is the GCF number.
So the greatest common factor 2391,4151 is 1.
Lets's calculate LCM of 683,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 327157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327157
Therefore, the GCF of Fractions 2391/683,4151/479 is 1/327157
Least Common Multiple of 683,479 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 683,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,479) x common factors =1 x 1 = 1
LCM(683,479) = ( 683 × 479 ) / 1
LCM(683,479) = 327157 / 1
LCM(683,479) = 327157
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FAQs on GCF of Fractions of 2391/683, 4151/479
1. What is the HCF of 2391,4151?
The HCF of 2391,4151 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 2391/683, 4151/479?
Answer: GCF of Numerators as per given numbers 2391/683, 4151/479 is
GCF of Numerators i.e. for 2391,4151 is 1
LCM of denominators i.e. for 683,479 is 327157.
Thus, GCF of Fractions is 1/327157.Finally, GCF of Fractions for 2391/683, 4151/479 is 1/327157.