GCF of 807/311, 2197/380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 807/311, 2197/380 i.e 1/118180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/311, 2197/380.
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 807/311,2197/380?
Given fractions are 807/311,2197/380
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 807/311,2197/380, numerators are 807,2197
Denominators are 311,380
The GCF of 807,2197 is 1 .
LCM of 311,380 is 118180.
The greatest common factor of 807/311,2197/380 = [GCF of 807,2197]/[LCM of 311,380]= 1/118180
Therefore, the GCF of 807/311,2197/380 is 1/118180.
To find the highest common factor of 807,2197, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 2197 are 1, 13, 169, 2197
The HCF of 807,2197 is 1.
Lets's calculate GCF of 807,2197
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 807,2197 By Matching Biggest Common Factor Method
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 2197
:1,13,169,2197
Greatest Common Factor
We found the factors 807,2197 . The biggest common factor number is the GCF number.
So the greatest common factor 807,2197 is 1.
Lets's calculate LCM of 311,380
Given numbers has no common factors except 1. So, there LCM is their product i.e 118180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118180
Therefore, the GCF of Fractions 807/311,2197/380 is 1/118180
Least Common Multiple of 311,380 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 311,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,380) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,380) x common factors =1 x 1 = 1
LCM(311,380) = ( 311 × 380 ) / 1
LCM(311,380) = 118180 / 1
LCM(311,380) = 118180
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FAQs on GCF of Fractions of 807/311, 2197/380
1. What is the HCF of 807,2197?
The HCF of 807,2197 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 807/311, 2197/380?
Answer: GCF of Numerators as per given numbers 807/311, 2197/380 is
GCF of Numerators i.e. for 807,2197 is 1
LCM of denominators i.e. for 311,380 is 118180.
Thus, GCF of Fractions is 1/118180.Finally, GCF of Fractions for 807/311, 2197/380 is 1/118180.