GCF of 1299/873, 9112/9697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1299/873, 9112/9697 i.e 1/8465481 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1299/873, 9112/9697.
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 1299/873,9112/9697?
Given fractions are 1299/873,9112/9697
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 1299/873,9112/9697, numerators are 1299,9112
Denominators are 873,9697
The GCF of 1299,9112 is 1 .
LCM of 873,9697 is 8465481.
The greatest common factor of 1299/873,9112/9697 = [GCF of 1299,9112]/[LCM of 873,9697]= 1/8465481
Therefore, the GCF of 1299/873,9112/9697 is 1/8465481.
To find the highest common factor of 1299,9112, we have to find the factors of both numbers and list the highest common factor.
The factors of 1299 are 1, 3, 433, 1299
The factors of 9112 are 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112
The HCF of 1299,9112 is 1.
Lets's calculate GCF of 1299,9112
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1299,9112 By Matching Biggest Common Factor Method
Now, list down the factors of 1299
:1,3,433,1299
Now, list down the factors of 9112
:1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112
Greatest Common Factor
We found the factors 1299,9112 . The biggest common factor number is the GCF number.
So the greatest common factor 1299,9112 is 1.
Lets's calculate LCM of 873,9697
Given numbers has no common factors except 1. So, there LCM is their product i.e 8465481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8465481
Therefore, the GCF of Fractions 1299/873,9112/9697 is 1/8465481
Least Common Multiple of 873,9697 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 873,9697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,9697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,9697) x common factors =1 x 1 = 1
LCM(873,9697) = ( 873 × 9697 ) / 1
LCM(873,9697) = 8465481 / 1
LCM(873,9697) = 8465481
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FAQs on GCF of Fractions of 1299/873, 9112/9697
1. What is the HCF of 1299,9112?
The HCF of 1299,9112 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 1299/873, 9112/9697?
Answer: GCF of Numerators as per given numbers 1299/873, 9112/9697 is
GCF of Numerators i.e. for 1299,9112 is 1
LCM of denominators i.e. for 873,9697 is 8465481.
Thus, GCF of Fractions is 1/8465481.Finally, GCF of Fractions for 1299/873, 9112/9697 is 1/8465481.