GCF of 2786/598, 1397/4143
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2786/598, 1397/4143 i.e 1/2477514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2786/598, 1397/4143.
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 2786/598,1397/4143?
Given fractions are 2786/598,1397/4143
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 2786/598,1397/4143, numerators are 2786,1397
Denominators are 598,4143
The GCF of 2786,1397 is 1 .
LCM of 598,4143 is 2477514.
The greatest common factor of 2786/598,1397/4143 = [GCF of 2786,1397]/[LCM of 598,4143]= 1/2477514
Therefore, the GCF of 2786/598,1397/4143 is 1/2477514.
To find the highest common factor of 2786,1397, we have to find the factors of both numbers and list the highest common factor.
The factors of 2786 are 1, 2, 7, 14, 199, 398, 1393, 2786
The factors of 1397 are 1, 11, 127, 1397
The HCF of 2786,1397 is 1.
Lets's calculate GCF of 2786,1397
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2786,1397 By Matching Biggest Common Factor Method
Now, list down the factors of 2786
:1,2,7,14,199,398,1393,2786
Now, list down the factors of 1397
:1,11,127,1397
Greatest Common Factor
We found the factors 2786,1397 . The biggest common factor number is the GCF number.
So the greatest common factor 2786,1397 is 1.
Lets's calculate LCM of 598,4143
Given numbers has no common factors except 1. So, there LCM is their product i.e 2477514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2477514
Therefore, the GCF of Fractions 2786/598,1397/4143 is 1/2477514
Least Common Multiple of 598,4143 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 598,4143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,4143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,4143) x common factors =1 x 1 = 1
LCM(598,4143) = ( 598 × 4143 ) / 1
LCM(598,4143) = 2477514 / 1
LCM(598,4143) = 2477514
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FAQs on GCF of Fractions of 2786/598, 1397/4143
1. What is the HCF of 2786,1397?
The HCF of 2786,1397 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 2786/598, 1397/4143?
Answer: GCF of Numerators as per given numbers 2786/598, 1397/4143 is
GCF of Numerators i.e. for 2786,1397 is 1
LCM of denominators i.e. for 598,4143 is 2477514.
Thus, GCF of Fractions is 1/2477514.Finally, GCF of Fractions for 2786/598, 1397/4143 is 1/2477514.