GCF of 8227/207, 1027/5671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8227/207, 1027/5671 i.e 1/1173897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8227/207, 1027/5671.
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 8227/207,1027/5671?
Given fractions are 8227/207,1027/5671
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 8227/207,1027/5671, numerators are 8227,1027
Denominators are 207,5671
The GCF of 8227,1027 is 1 .
LCM of 207,5671 is 1173897.
The greatest common factor of 8227/207,1027/5671 = [GCF of 8227,1027]/[LCM of 207,5671]= 1/1173897
Therefore, the GCF of 8227/207,1027/5671 is 1/1173897.
To find the highest common factor of 8227,1027, we have to find the factors of both numbers and list the highest common factor.
The factors of 8227 are 1, 19, 433, 8227
The factors of 1027 are 1, 13, 79, 1027
The HCF of 8227,1027 is 1.
Lets's calculate GCF of 8227,1027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8227,1027 By Matching Biggest Common Factor Method
Now, list down the factors of 8227
:1,19,433,8227
Now, list down the factors of 1027
:1,13,79,1027
Greatest Common Factor
We found the factors 8227,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 8227,1027 is 1.
Lets's calculate LCM of 207,5671
Given numbers has no common factors except 1. So, there LCM is their product i.e 1173897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1173897
Therefore, the GCF of Fractions 8227/207,1027/5671 is 1/1173897
Least Common Multiple of 207,5671 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 207,5671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,5671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,5671) x common factors =1 x 1 = 1
LCM(207,5671) = ( 207 × 5671 ) / 1
LCM(207,5671) = 1173897 / 1
LCM(207,5671) = 1173897
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FAQs on GCF of Fractions of 8227/207, 1027/5671
1. What is the HCF of 8227,1027?
The HCF of 8227,1027 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 8227/207, 1027/5671?
Answer: GCF of Numerators as per given numbers 8227/207, 1027/5671 is
GCF of Numerators i.e. for 8227,1027 is 1
LCM of denominators i.e. for 207,5671 is 1173897.
Thus, GCF of Fractions is 1/1173897.Finally, GCF of Fractions for 8227/207, 1027/5671 is 1/1173897.