GCF of 8267/187, 2195/9122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8267/187, 2195/9122 i.e 1/1705814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8267/187, 2195/9122.
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 8267/187,2195/9122?
Given fractions are 8267/187,2195/9122
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 8267/187,2195/9122, numerators are 8267,2195
Denominators are 187,9122
The GCF of 8267,2195 is 1 .
LCM of 187,9122 is 1705814.
The greatest common factor of 8267/187,2195/9122 = [GCF of 8267,2195]/[LCM of 187,9122]= 1/1705814
Therefore, the GCF of 8267/187,2195/9122 is 1/1705814.
To find the highest common factor of 8267,2195, we have to find the factors of both numbers and list the highest common factor.
The factors of 8267 are 1, 7, 1181, 8267
The factors of 2195 are 1, 5, 439, 2195
The HCF of 8267,2195 is 1.
Lets's calculate GCF of 8267,2195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8267,2195 By Matching Biggest Common Factor Method
Now, list down the factors of 8267
:1,7,1181,8267
Now, list down the factors of 2195
:1,5,439,2195
Greatest Common Factor
We found the factors 8267,2195 . The biggest common factor number is the GCF number.
So the greatest common factor 8267,2195 is 1.
Lets's calculate LCM of 187,9122
Given numbers has no common factors except 1. So, there LCM is their product i.e 1705814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1705814
Therefore, the GCF of Fractions 8267/187,2195/9122 is 1/1705814
Least Common Multiple of 187,9122 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 187,9122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,9122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,9122) x common factors =1 x 1 = 1
LCM(187,9122) = ( 187 × 9122 ) / 1
LCM(187,9122) = 1705814 / 1
LCM(187,9122) = 1705814
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FAQs on GCF of Fractions of 8267/187, 2195/9122
1. What is the HCF of 8267,2195?
The HCF of 8267,2195 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 8267/187, 2195/9122?
Answer: GCF of Numerators as per given numbers 8267/187, 2195/9122 is
GCF of Numerators i.e. for 8267,2195 is 1
LCM of denominators i.e. for 187,9122 is 1705814.
Thus, GCF of Fractions is 1/1705814.Finally, GCF of Fractions for 8267/187, 2195/9122 is 1/1705814.