GCF of 2986/296, 7418/1693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2986/296, 7418/1693 i.e 2/501128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2986/296, 7418/1693.
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 2986/296,7418/1693?
Given fractions are 2986/296,7418/1693
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 2986/296,7418/1693, numerators are 2986,7418
Denominators are 296,1693
The GCF of 2986,7418 is 2 .
LCM of 296,1693 is 501128.
The greatest common factor of 2986/296,7418/1693 = [GCF of 2986,7418]/[LCM of 296,1693]= 2/501128
Therefore, the GCF of 2986/296,7418/1693 is 2/501128.
To find the highest common factor of 2986,7418, we have to find the factors of both numbers and list the highest common factor.
The factors of 2986 are 1, 2, 1493, 2986
The factors of 7418 are 1, 2, 3709, 7418
The HCF of 2986,7418 is 2.
Lets's calculate GCF of 2986,7418
| 2 | 2986, 7418 |
| 1493, 3709 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2986,7418 By Matching Biggest Common Factor Method
Now, list down the factors of 2986
:1,2,1493,2986
Now, list down the factors of 7418
:1,2,3709,7418
Greatest Common Factor
We found the factors 2986,7418 . The biggest common factor number is the GCF number.
So the greatest common factor 2986,7418 is 2.
Lets's calculate LCM of 296,1693
Given numbers has no common factors except 1. So, there LCM is their product i.e 501128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/501128
Therefore, the GCF of Fractions 2986/296,7418/1693 is 2/501128
Least Common Multiple of 296,1693 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 296,1693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,1693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,1693) x common factors =1 x 1 = 1
LCM(296,1693) = ( 296 × 1693 ) / 1
LCM(296,1693) = 501128 / 1
LCM(296,1693) = 501128
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2986/296, 7418/1693
1. What is the HCF of 2986,7418?
The HCF of 2986,7418 is 2
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 2986/296, 7418/1693?
Answer: GCF of Numerators as per given numbers 2986/296, 7418/1693 is
GCF of Numerators i.e. for 2986,7418 is 2
LCM of denominators i.e. for 296,1693 is 501128.
Thus, GCF of Fractions is 2/501128.Finally, GCF of Fractions for 2986/296, 7418/1693 is 2/501128.