GCF of 2300/802, 1981/245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2300/802, 1981/245 i.e 1/196490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2300/802, 1981/245.
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 2300/802,1981/245?
Given fractions are 2300/802,1981/245
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 2300/802,1981/245, numerators are 2300,1981
Denominators are 802,245
The GCF of 2300,1981 is 1 .
LCM of 802,245 is 196490.
The greatest common factor of 2300/802,1981/245 = [GCF of 2300,1981]/[LCM of 802,245]= 1/196490
Therefore, the GCF of 2300/802,1981/245 is 1/196490.
To find the highest common factor of 2300,1981, we have to find the factors of both numbers and list the highest common factor.
The factors of 2300 are 1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300
The factors of 1981 are 1, 7, 283, 1981
The HCF of 2300,1981 is 1.
Lets's calculate GCF of 2300,1981
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2300,1981 By Matching Biggest Common Factor Method
Now, list down the factors of 2300
:1,2,4,5,10,20,23,25,46,50,92,100,115,230,460,575,1150,2300
Now, list down the factors of 1981
:1,7,283,1981
Greatest Common Factor
We found the factors 2300,1981 . The biggest common factor number is the GCF number.
So the greatest common factor 2300,1981 is 1.
Lets's calculate LCM of 802,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 196490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196490
Therefore, the GCF of Fractions 2300/802,1981/245 is 1/196490
Least Common Multiple of 802,245 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 802,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,245) x common factors =1 x 1 = 1
LCM(802,245) = ( 802 × 245 ) / 1
LCM(802,245) = 196490 / 1
LCM(802,245) = 196490
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FAQs on GCF of Fractions of 2300/802, 1981/245
1. What is the HCF of 2300,1981?
The HCF of 2300,1981 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 2300/802, 1981/245?
Answer: GCF of Numerators as per given numbers 2300/802, 1981/245 is
GCF of Numerators i.e. for 2300,1981 is 1
LCM of denominators i.e. for 802,245 is 196490.
Thus, GCF of Fractions is 1/196490.Finally, GCF of Fractions for 2300/802, 1981/245 is 1/196490.