GCF of 2119/874, 8796/8939
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2119/874, 8796/8939 i.e 1/7812686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2119/874, 8796/8939.
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 2119/874,8796/8939?
Given fractions are 2119/874,8796/8939
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 2119/874,8796/8939, numerators are 2119,8796
Denominators are 874,8939
The GCF of 2119,8796 is 1 .
LCM of 874,8939 is 7812686.
The greatest common factor of 2119/874,8796/8939 = [GCF of 2119,8796]/[LCM of 874,8939]= 1/7812686
Therefore, the GCF of 2119/874,8796/8939 is 1/7812686.
To find the highest common factor of 2119,8796, we have to find the factors of both numbers and list the highest common factor.
The factors of 2119 are 1, 13, 163, 2119
The factors of 8796 are 1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796
The HCF of 2119,8796 is 1.
Lets's calculate GCF of 2119,8796
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2119,8796 By Matching Biggest Common Factor Method
Now, list down the factors of 2119
:1,13,163,2119
Now, list down the factors of 8796
:1,2,3,4,6,12,733,1466,2199,2932,4398,8796
Greatest Common Factor
We found the factors 2119,8796 . The biggest common factor number is the GCF number.
So the greatest common factor 2119,8796 is 1.
Lets's calculate LCM of 874,8939
Given numbers has no common factors except 1. So, there LCM is their product i.e 7812686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7812686
Therefore, the GCF of Fractions 2119/874,8796/8939 is 1/7812686
Least Common Multiple of 874,8939 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 874,8939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,8939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,8939) x common factors =1 x 1 = 1
LCM(874,8939) = ( 874 × 8939 ) / 1
LCM(874,8939) = 7812686 / 1
LCM(874,8939) = 7812686
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FAQs on GCF of Fractions of 2119/874, 8796/8939
1. What is the HCF of 2119,8796?
The HCF of 2119,8796 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 2119/874, 8796/8939?
Answer: GCF of Numerators as per given numbers 2119/874, 8796/8939 is
GCF of Numerators i.e. for 2119,8796 is 1
LCM of denominators i.e. for 874,8939 is 7812686.
Thus, GCF of Fractions is 1/7812686.Finally, GCF of Fractions for 2119/874, 8796/8939 is 1/7812686.