GCF of 8970/164, 3678/6798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8970/164, 3678/6798 i.e 6/557436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8970/164, 3678/6798.
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 8970/164,3678/6798?
Given fractions are 8970/164,3678/6798
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 8970/164,3678/6798, numerators are 8970,3678
Denominators are 164,6798
The GCF of 8970,3678 is 6 .
LCM of 164,6798 is 557436.
The greatest common factor of 8970/164,3678/6798 = [GCF of 8970,3678]/[LCM of 164,6798]= 6/557436
Therefore, the GCF of 8970/164,3678/6798 is 6/557436.
To find the highest common factor of 8970,3678, we have to find the factors of both numbers and list the highest common factor.
The factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970
The factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678
The HCF of 8970,3678 is 6.
Lets's calculate GCF of 8970,3678
| 2 | 8970, 3678 |
| 3 | 4485, 1839 |
| 1495, 613 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8970,3678 By Matching Biggest Common Factor Method
Now, list down the factors of 8970
:1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970
Now, list down the factors of 3678
:1,2,3,6,613,1226,1839,3678
Greatest Common Factor
We found the factors 8970,3678 . The biggest common factor number is the GCF number.
So the greatest common factor 8970,3678 is 6.
Lets's calculate LCM of 164,6798
| 2 | 164, 6798 |
| 82, 3399 |
∴ So the LCM of the given numbers is 2 x 82 x 3399 = 557436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/557436
Therefore, the GCF of Fractions 8970/164,3678/6798 is 6/557436
Least Common Multiple of 164,6798 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 164,6798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,6798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,6798) x common factors =2 x 1 = 2
LCM(164,6798) = ( 164 × 6798 ) / 2
LCM(164,6798) = 1114872 / 2
LCM(164,6798) = 557436
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FAQs on GCF of Fractions of 8970/164, 3678/6798
1. What is the HCF of 8970,3678?
The HCF of 8970,3678 is 6
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 8970/164, 3678/6798?
Answer: GCF of Numerators as per given numbers 8970/164, 3678/6798 is
GCF of Numerators i.e. for 8970,3678 is 6
LCM of denominators i.e. for 164,6798 is 557436.
Thus, GCF of Fractions is 6/557436.Finally, GCF of Fractions for 8970/164, 3678/6798 is 6/557436.