GCF of 2791/123, 1796/9613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2791/123, 1796/9613 i.e 1/1182399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2791/123, 1796/9613.
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 2791/123,1796/9613?
Given fractions are 2791/123,1796/9613
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 2791/123,1796/9613, numerators are 2791,1796
Denominators are 123,9613
The GCF of 2791,1796 is 1 .
LCM of 123,9613 is 1182399.
The greatest common factor of 2791/123,1796/9613 = [GCF of 2791,1796]/[LCM of 123,9613]= 1/1182399
Therefore, the GCF of 2791/123,1796/9613 is 1/1182399.
To find the highest common factor of 2791,1796, we have to find the factors of both numbers and list the highest common factor.
The factors of 2791 are 1, 2791
The factors of 1796 are 1, 2, 4, 449, 898, 1796
The HCF of 2791,1796 is 1.
Lets's calculate GCF of 2791,1796
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2791,1796 By Matching Biggest Common Factor Method
Now, list down the factors of 2791
:1,2791
Now, list down the factors of 1796
:1,2,4,449,898,1796
Greatest Common Factor
We found the factors 2791,1796 . The biggest common factor number is the GCF number.
So the greatest common factor 2791,1796 is 1.
Lets's calculate LCM of 123,9613
Given numbers has no common factors except 1. So, there LCM is their product i.e 1182399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1182399
Therefore, the GCF of Fractions 2791/123,1796/9613 is 1/1182399
Least Common Multiple of 123,9613 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 123,9613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,9613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,9613) x common factors =1 x 1 = 1
LCM(123,9613) = ( 123 × 9613 ) / 1
LCM(123,9613) = 1182399 / 1
LCM(123,9613) = 1182399
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FAQs on GCF of Fractions of 2791/123, 1796/9613
1. What is the HCF of 2791,1796?
The HCF of 2791,1796 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 2791/123, 1796/9613?
Answer: GCF of Numerators as per given numbers 2791/123, 1796/9613 is
GCF of Numerators i.e. for 2791,1796 is 1
LCM of denominators i.e. for 123,9613 is 1182399.
Thus, GCF of Fractions is 1/1182399.Finally, GCF of Fractions for 2791/123, 1796/9613 is 1/1182399.