GCF of 2113/494, 1168/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2113/494, 1168/719 i.e 1/355186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2113/494, 1168/719.
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 2113/494,1168/719?
Given fractions are 2113/494,1168/719
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 2113/494,1168/719, numerators are 2113,1168
Denominators are 494,719
The GCF of 2113,1168 is 1 .
LCM of 494,719 is 355186.
The greatest common factor of 2113/494,1168/719 = [GCF of 2113,1168]/[LCM of 494,719]= 1/355186
Therefore, the GCF of 2113/494,1168/719 is 1/355186.
To find the highest common factor of 2113,1168, we have to find the factors of both numbers and list the highest common factor.
The factors of 2113 are 1, 2113
The factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168
The HCF of 2113,1168 is 1.
Lets's calculate GCF of 2113,1168
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2113,1168 By Matching Biggest Common Factor Method
Now, list down the factors of 2113
:1,2113
Now, list down the factors of 1168
:1,2,4,8,16,73,146,292,584,1168
Greatest Common Factor
We found the factors 2113,1168 . The biggest common factor number is the GCF number.
So the greatest common factor 2113,1168 is 1.
Lets's calculate LCM of 494,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 355186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355186
Therefore, the GCF of Fractions 2113/494,1168/719 is 1/355186
Least Common Multiple of 494,719 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 494,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(494,719) x common factors =1 x 1 = 1
LCM(494,719) = ( 494 × 719 ) / 1
LCM(494,719) = 355186 / 1
LCM(494,719) = 355186
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FAQs on GCF of Fractions of 2113/494, 1168/719
1. What is the HCF of 2113,1168?
The HCF of 2113,1168 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 2113/494, 1168/719?
Answer: GCF of Numerators as per given numbers 2113/494, 1168/719 is
GCF of Numerators i.e. for 2113,1168 is 1
LCM of denominators i.e. for 494,719 is 355186.
Thus, GCF of Fractions is 1/355186.Finally, GCF of Fractions for 2113/494, 1168/719 is 1/355186.