GCF of 835/392, 5910/8938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 835/392, 5910/8938 i.e 5/1751848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/392, 5910/8938.
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 835/392,5910/8938?
Given fractions are 835/392,5910/8938
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 835/392,5910/8938, numerators are 835,5910
Denominators are 392,8938
The GCF of 835,5910 is 5 .
LCM of 392,8938 is 1751848.
The greatest common factor of 835/392,5910/8938 = [GCF of 835,5910]/[LCM of 392,8938]= 5/1751848
Therefore, the GCF of 835/392,5910/8938 is 5/1751848.
To find the highest common factor of 835,5910, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 5910 are 1, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955, 5910
The HCF of 835,5910 is 5.
Lets's calculate GCF of 835,5910
| 5 | 835, 5910 |
| 167, 1182 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 835,5910 By Matching Biggest Common Factor Method
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 5910
:1,2,3,5,6,10,15,30,197,394,591,985,1182,1970,2955,5910
Greatest Common Factor
We found the factors 835,5910 . The biggest common factor number is the GCF number.
So the greatest common factor 835,5910 is 5.
Lets's calculate LCM of 392,8938
| 2 | 392, 8938 |
| 196, 4469 |
∴ So the LCM of the given numbers is 2 x 196 x 4469 = 1751848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1751848
Therefore, the GCF of Fractions 835/392,5910/8938 is 5/1751848
Least Common Multiple of 392,8938 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 392,8938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,8938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(392,8938) x common factors =2 x 1 = 2
LCM(392,8938) = ( 392 × 8938 ) / 2
LCM(392,8938) = 3503696 / 2
LCM(392,8938) = 1751848
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FAQs on GCF of Fractions of 835/392, 5910/8938
1. What is the HCF of 835,5910?
The HCF of 835,5910 is 5
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 835/392, 5910/8938?
Answer: GCF of Numerators as per given numbers 835/392, 5910/8938 is
GCF of Numerators i.e. for 835,5910 is 5
LCM of denominators i.e. for 392,8938 is 1751848.
Thus, GCF of Fractions is 5/1751848.Finally, GCF of Fractions for 835/392, 5910/8938 is 5/1751848.