GCF of 8398/172, 3400/6885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8398/172, 3400/6885 i.e 34/1184220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8398/172, 3400/6885.
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 8398/172,3400/6885?
Given fractions are 8398/172,3400/6885
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 8398/172,3400/6885, numerators are 8398,3400
Denominators are 172,6885
The GCF of 8398,3400 is 34 .
LCM of 172,6885 is 1184220.
The greatest common factor of 8398/172,3400/6885 = [GCF of 8398,3400]/[LCM of 172,6885]= 34/1184220
Therefore, the GCF of 8398/172,3400/6885 is 34/1184220.
To find the highest common factor of 8398,3400, we have to find the factors of both numbers and list the highest common factor.
The factors of 8398 are 1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398
The factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400
The HCF of 8398,3400 is 34.
Lets's calculate GCF of 8398,3400
| 2 | 8398, 3400 |
| 17 | 4199, 1700 |
| 247, 100 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 8398,3400 By Matching Biggest Common Factor Method
Now, list down the factors of 8398
:1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398
Now, list down the factors of 3400
:1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Greatest Common Factor
We found the factors 8398,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 8398,3400 is 34.
Lets's calculate LCM of 172,6885
Given numbers has no common factors except 1. So, there LCM is their product i.e 1184220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1184220
Therefore, the GCF of Fractions 8398/172,3400/6885 is 34/1184220
Least Common Multiple of 172,6885 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 172,6885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,6885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,6885) x common factors =1 x 1 = 1
LCM(172,6885) = ( 172 × 6885 ) / 1
LCM(172,6885) = 1184220 / 1
LCM(172,6885) = 1184220
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FAQs on GCF of Fractions of 8398/172, 3400/6885
1. What is the HCF of 8398,3400?
The HCF of 8398,3400 is 34
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 8398/172, 3400/6885?
Answer: GCF of Numerators as per given numbers 8398/172, 3400/6885 is
GCF of Numerators i.e. for 8398,3400 is 34
LCM of denominators i.e. for 172,6885 is 1184220.
Thus, GCF of Fractions is 34/1184220.Finally, GCF of Fractions for 8398/172, 3400/6885 is 34/1184220.