GCF of 3160/372, 8398/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3160/372, 8398/916 i.e 2/85188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3160/372, 8398/916.
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 3160/372,8398/916?
Given fractions are 3160/372,8398/916
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 3160/372,8398/916, numerators are 3160,8398
Denominators are 372,916
The GCF of 3160,8398 is 2 .
LCM of 372,916 is 85188.
The greatest common factor of 3160/372,8398/916 = [GCF of 3160,8398]/[LCM of 372,916]= 2/85188
Therefore, the GCF of 3160/372,8398/916 is 2/85188.
To find the highest common factor of 3160,8398, we have to find the factors of both numbers and list the highest common factor.
The factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160
The factors of 8398 are 1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398
The HCF of 3160,8398 is 2.
Lets's calculate GCF of 3160,8398
| 2 | 3160, 8398 |
| 1580, 4199 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3160,8398 By Matching Biggest Common Factor Method
Now, list down the factors of 3160
:1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Now, list down the factors of 8398
:1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398
Greatest Common Factor
We found the factors 3160,8398 . The biggest common factor number is the GCF number.
So the greatest common factor 3160,8398 is 2.
Lets's calculate LCM of 372,916
| 2 | 372, 916 |
| 2 | 186, 458 |
| 93, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 93 x 229 = 85188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85188
Therefore, the GCF of Fractions 3160/372,8398/916 is 2/85188
Least Common Multiple of 372,916 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 372,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(372,916) x common factors =4 x 1 = 4
LCM(372,916) = ( 372 × 916 ) / 4
LCM(372,916) = 340752 / 4
LCM(372,916) = 85188
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FAQs on GCF of Fractions of 3160/372, 8398/916
1. What is the HCF of 3160,8398?
The HCF of 3160,8398 is 2
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 3160/372, 8398/916?
Answer: GCF of Numerators as per given numbers 3160/372, 8398/916 is
GCF of Numerators i.e. for 3160,8398 is 2
LCM of denominators i.e. for 372,916 is 85188.
Thus, GCF of Fractions is 2/85188.Finally, GCF of Fractions for 3160/372, 8398/916 is 2/85188.