GCF of 8840/189, 7437/2134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8840/189, 7437/2134 i.e 1/403326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8840/189, 7437/2134.
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 8840/189,7437/2134?
Given fractions are 8840/189,7437/2134
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 8840/189,7437/2134, numerators are 8840,7437
Denominators are 189,2134
The GCF of 8840,7437 is 1 .
LCM of 189,2134 is 403326.
The greatest common factor of 8840/189,7437/2134 = [GCF of 8840,7437]/[LCM of 189,2134]= 1/403326
Therefore, the GCF of 8840/189,7437/2134 is 1/403326.
To find the highest common factor of 8840,7437, we have to find the factors of both numbers and list the highest common factor.
The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840
The factors of 7437 are 1, 3, 37, 67, 111, 201, 2479, 7437
The HCF of 8840,7437 is 1.
Lets's calculate GCF of 8840,7437
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8840,7437 By Matching Biggest Common Factor Method
Now, list down the factors of 8840
:1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840
Now, list down the factors of 7437
:1,3,37,67,111,201,2479,7437
Greatest Common Factor
We found the factors 8840,7437 . The biggest common factor number is the GCF number.
So the greatest common factor 8840,7437 is 1.
Lets's calculate LCM of 189,2134
Given numbers has no common factors except 1. So, there LCM is their product i.e 403326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403326
Therefore, the GCF of Fractions 8840/189,7437/2134 is 1/403326
Least Common Multiple of 189,2134 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 189,2134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,2134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,2134) x common factors =1 x 1 = 1
LCM(189,2134) = ( 189 × 2134 ) / 1
LCM(189,2134) = 403326 / 1
LCM(189,2134) = 403326
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FAQs on GCF of Fractions of 8840/189, 7437/2134
1. What is the HCF of 8840,7437?
The HCF of 8840,7437 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 8840/189, 7437/2134?
Answer: GCF of Numerators as per given numbers 8840/189, 7437/2134 is
GCF of Numerators i.e. for 8840,7437 is 1
LCM of denominators i.e. for 189,2134 is 403326.
Thus, GCF of Fractions is 1/403326.Finally, GCF of Fractions for 8840/189, 7437/2134 is 1/403326.