GCF of 1187/459, 3592/9098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1187/459, 3592/9098 i.e 1/4175982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1187/459, 3592/9098.
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 1187/459,3592/9098?
Given fractions are 1187/459,3592/9098
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 1187/459,3592/9098, numerators are 1187,3592
Denominators are 459,9098
The GCF of 1187,3592 is 1 .
LCM of 459,9098 is 4175982.
The greatest common factor of 1187/459,3592/9098 = [GCF of 1187,3592]/[LCM of 459,9098]= 1/4175982
Therefore, the GCF of 1187/459,3592/9098 is 1/4175982.
To find the highest common factor of 1187,3592, we have to find the factors of both numbers and list the highest common factor.
The factors of 1187 are 1, 1187
The factors of 3592 are 1, 2, 4, 8, 449, 898, 1796, 3592
The HCF of 1187,3592 is 1.
Lets's calculate GCF of 1187,3592
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1187,3592 By Matching Biggest Common Factor Method
Now, list down the factors of 1187
:1,1187
Now, list down the factors of 3592
:1,2,4,8,449,898,1796,3592
Greatest Common Factor
We found the factors 1187,3592 . The biggest common factor number is the GCF number.
So the greatest common factor 1187,3592 is 1.
Lets's calculate LCM of 459,9098
Given numbers has no common factors except 1. So, there LCM is their product i.e 4175982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4175982
Therefore, the GCF of Fractions 1187/459,3592/9098 is 1/4175982
Least Common Multiple of 459,9098 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 459,9098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,9098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,9098) x common factors =1 x 1 = 1
LCM(459,9098) = ( 459 × 9098 ) / 1
LCM(459,9098) = 4175982 / 1
LCM(459,9098) = 4175982
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FAQs on GCF of Fractions of 1187/459, 3592/9098
1. What is the HCF of 1187,3592?
The HCF of 1187,3592 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 1187/459, 3592/9098?
Answer: GCF of Numerators as per given numbers 1187/459, 3592/9098 is
GCF of Numerators i.e. for 1187,3592 is 1
LCM of denominators i.e. for 459,9098 is 4175982.
Thus, GCF of Fractions is 1/4175982.Finally, GCF of Fractions for 1187/459, 3592/9098 is 1/4175982.