GCF of 2384/631, 7037/1676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2384/631, 7037/1676 i.e 1/1057556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2384/631, 7037/1676.
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 2384/631,7037/1676?
Given fractions are 2384/631,7037/1676
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 2384/631,7037/1676, numerators are 2384,7037
Denominators are 631,1676
The GCF of 2384,7037 is 1 .
LCM of 631,1676 is 1057556.
The greatest common factor of 2384/631,7037/1676 = [GCF of 2384,7037]/[LCM of 631,1676]= 1/1057556
Therefore, the GCF of 2384/631,7037/1676 is 1/1057556.
To find the highest common factor of 2384,7037, we have to find the factors of both numbers and list the highest common factor.
The factors of 2384 are 1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384
The factors of 7037 are 1, 31, 227, 7037
The HCF of 2384,7037 is 1.
Lets's calculate GCF of 2384,7037
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2384,7037 By Matching Biggest Common Factor Method
Now, list down the factors of 2384
:1,2,4,8,16,149,298,596,1192,2384
Now, list down the factors of 7037
:1,31,227,7037
Greatest Common Factor
We found the factors 2384,7037 . The biggest common factor number is the GCF number.
So the greatest common factor 2384,7037 is 1.
Lets's calculate LCM of 631,1676
Given numbers has no common factors except 1. So, there LCM is their product i.e 1057556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1057556
Therefore, the GCF of Fractions 2384/631,7037/1676 is 1/1057556
Least Common Multiple of 631,1676 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 631,1676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,1676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,1676) x common factors =1 x 1 = 1
LCM(631,1676) = ( 631 × 1676 ) / 1
LCM(631,1676) = 1057556 / 1
LCM(631,1676) = 1057556
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FAQs on GCF of Fractions of 2384/631, 7037/1676
1. What is the HCF of 2384,7037?
The HCF of 2384,7037 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 2384/631, 7037/1676?
Answer: GCF of Numerators as per given numbers 2384/631, 7037/1676 is
GCF of Numerators i.e. for 2384,7037 is 1
LCM of denominators i.e. for 631,1676 is 1057556.
Thus, GCF of Fractions is 1/1057556.Finally, GCF of Fractions for 2384/631, 7037/1676 is 1/1057556.