GCF of 9126/197, 7855/1123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9126/197, 7855/1123 i.e 1/221231 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9126/197, 7855/1123.
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 9126/197,7855/1123?
Given fractions are 9126/197,7855/1123
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 9126/197,7855/1123, numerators are 9126,7855
Denominators are 197,1123
The GCF of 9126,7855 is 1 .
LCM of 197,1123 is 221231.
The greatest common factor of 9126/197,7855/1123 = [GCF of 9126,7855]/[LCM of 197,1123]= 1/221231
Therefore, the GCF of 9126/197,7855/1123 is 1/221231.
To find the highest common factor of 9126,7855, we have to find the factors of both numbers and list the highest common factor.
The factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126
The factors of 7855 are 1, 5, 1571, 7855
The HCF of 9126,7855 is 1.
Lets's calculate GCF of 9126,7855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9126,7855 By Matching Biggest Common Factor Method
Now, list down the factors of 9126
:1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126
Now, list down the factors of 7855
:1,5,1571,7855
Greatest Common Factor
We found the factors 9126,7855 . The biggest common factor number is the GCF number.
So the greatest common factor 9126,7855 is 1.
Lets's calculate LCM of 197,1123
Given numbers has no common factors except 1. So, there LCM is their product i.e 221231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221231
Therefore, the GCF of Fractions 9126/197,7855/1123 is 1/221231
Least Common Multiple of 197,1123 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 197,1123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,1123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,1123) x common factors =1 x 1 = 1
LCM(197,1123) = ( 197 × 1123 ) / 1
LCM(197,1123) = 221231 / 1
LCM(197,1123) = 221231
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FAQs on GCF of Fractions of 9126/197, 7855/1123
1. What is the HCF of 9126,7855?
The HCF of 9126,7855 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 9126/197, 7855/1123?
Answer: GCF of Numerators as per given numbers 9126/197, 7855/1123 is
GCF of Numerators i.e. for 9126,7855 is 1
LCM of denominators i.e. for 197,1123 is 221231.
Thus, GCF of Fractions is 1/221231.Finally, GCF of Fractions for 9126/197, 7855/1123 is 1/221231.