GCF of 2119/927, 3979/115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2119/927, 3979/115 i.e 1/106605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2119/927, 3979/115.
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 2119/927,3979/115?
Given fractions are 2119/927,3979/115
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 2119/927,3979/115, numerators are 2119,3979
Denominators are 927,115
The GCF of 2119,3979 is 1 .
LCM of 927,115 is 106605.
The greatest common factor of 2119/927,3979/115 = [GCF of 2119,3979]/[LCM of 927,115]= 1/106605
Therefore, the GCF of 2119/927,3979/115 is 1/106605.
To find the highest common factor of 2119,3979, 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 3979 are 1, 23, 173, 3979
The HCF of 2119,3979 is 1.
Lets's calculate GCF of 2119,3979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2119,3979 By Matching Biggest Common Factor Method
Now, list down the factors of 2119
:1,13,163,2119
Now, list down the factors of 3979
:1,23,173,3979
Greatest Common Factor
We found the factors 2119,3979 . The biggest common factor number is the GCF number.
So the greatest common factor 2119,3979 is 1.
Lets's calculate LCM of 927,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 106605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106605
Therefore, the GCF of Fractions 2119/927,3979/115 is 1/106605
Least Common Multiple of 927,115 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 927,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,115) x common factors =1 x 1 = 1
LCM(927,115) = ( 927 × 115 ) / 1
LCM(927,115) = 106605 / 1
LCM(927,115) = 106605
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FAQs on GCF of Fractions of 2119/927, 3979/115
1. What is the HCF of 2119,3979?
The HCF of 2119,3979 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 2119/927, 3979/115?
Answer: GCF of Numerators as per given numbers 2119/927, 3979/115 is
GCF of Numerators i.e. for 2119,3979 is 1
LCM of denominators i.e. for 927,115 is 106605.
Thus, GCF of Fractions is 1/106605.Finally, GCF of Fractions for 2119/927, 3979/115 is 1/106605.