GCF of 9874/596, 6947/2701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9874/596, 6947/2701 i.e 1/1609796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9874/596, 6947/2701.
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 9874/596,6947/2701?
Given fractions are 9874/596,6947/2701
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 9874/596,6947/2701, numerators are 9874,6947
Denominators are 596,2701
The GCF of 9874,6947 is 1 .
LCM of 596,2701 is 1609796.
The greatest common factor of 9874/596,6947/2701 = [GCF of 9874,6947]/[LCM of 596,2701]= 1/1609796
Therefore, the GCF of 9874/596,6947/2701 is 1/1609796.
To find the highest common factor of 9874,6947, we have to find the factors of both numbers and list the highest common factor.
The factors of 9874 are 1, 2, 4937, 9874
The factors of 6947 are 1, 6947
The HCF of 9874,6947 is 1.
Lets's calculate GCF of 9874,6947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9874,6947 By Matching Biggest Common Factor Method
Now, list down the factors of 9874
:1,2,4937,9874
Now, list down the factors of 6947
:1,6947
Greatest Common Factor
We found the factors 9874,6947 . The biggest common factor number is the GCF number.
So the greatest common factor 9874,6947 is 1.
Lets's calculate LCM of 596,2701
Given numbers has no common factors except 1. So, there LCM is their product i.e 1609796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1609796
Therefore, the GCF of Fractions 9874/596,6947/2701 is 1/1609796
Least Common Multiple of 596,2701 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 596,2701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,2701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,2701) x common factors =1 x 1 = 1
LCM(596,2701) = ( 596 × 2701 ) / 1
LCM(596,2701) = 1609796 / 1
LCM(596,2701) = 1609796
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FAQs on GCF of Fractions of 9874/596, 6947/2701
1. What is the HCF of 9874,6947?
The HCF of 9874,6947 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 9874/596, 6947/2701?
Answer: GCF of Numerators as per given numbers 9874/596, 6947/2701 is
GCF of Numerators i.e. for 9874,6947 is 1
LCM of denominators i.e. for 596,2701 is 1609796.
Thus, GCF of Fractions is 1/1609796.Finally, GCF of Fractions for 9874/596, 6947/2701 is 1/1609796.