GCF of 9370/938, 4117/3186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9370/938, 4117/3186 i.e 1/1494234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9370/938, 4117/3186.
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 9370/938,4117/3186?
Given fractions are 9370/938,4117/3186
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 9370/938,4117/3186, numerators are 9370,4117
Denominators are 938,3186
The GCF of 9370,4117 is 1 .
LCM of 938,3186 is 1494234.
The greatest common factor of 9370/938,4117/3186 = [GCF of 9370,4117]/[LCM of 938,3186]= 1/1494234
Therefore, the GCF of 9370/938,4117/3186 is 1/1494234.
To find the highest common factor of 9370,4117, we have to find the factors of both numbers and list the highest common factor.
The factors of 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370
The factors of 4117 are 1, 23, 179, 4117
The HCF of 9370,4117 is 1.
Lets's calculate GCF of 9370,4117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9370,4117 By Matching Biggest Common Factor Method
Now, list down the factors of 9370
:1,2,5,10,937,1874,4685,9370
Now, list down the factors of 4117
:1,23,179,4117
Greatest Common Factor
We found the factors 9370,4117 . The biggest common factor number is the GCF number.
So the greatest common factor 9370,4117 is 1.
Lets's calculate LCM of 938,3186
| 2 | 938, 3186 |
| 469, 1593 |
∴ So the LCM of the given numbers is 2 x 469 x 1593 = 1494234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1494234
Therefore, the GCF of Fractions 9370/938,4117/3186 is 1/1494234
Least Common Multiple of 938,3186 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 938,3186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,3186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,3186) x common factors =2 x 1 = 2
LCM(938,3186) = ( 938 × 3186 ) / 2
LCM(938,3186) = 2988468 / 2
LCM(938,3186) = 1494234
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FAQs on GCF of Fractions of 9370/938, 4117/3186
1. What is the HCF of 9370,4117?
The HCF of 9370,4117 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 9370/938, 4117/3186?
Answer: GCF of Numerators as per given numbers 9370/938, 4117/3186 is
GCF of Numerators i.e. for 9370,4117 is 1
LCM of denominators i.e. for 938,3186 is 1494234.
Thus, GCF of Fractions is 1/1494234.Finally, GCF of Fractions for 9370/938, 4117/3186 is 1/1494234.