GCF of 8190/974, 6682/9272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8190/974, 6682/9272 i.e 26/4515464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8190/974, 6682/9272.
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 8190/974,6682/9272?
Given fractions are 8190/974,6682/9272
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 8190/974,6682/9272, numerators are 8190,6682
Denominators are 974,9272
The GCF of 8190,6682 is 26 .
LCM of 974,9272 is 4515464.
The greatest common factor of 8190/974,6682/9272 = [GCF of 8190,6682]/[LCM of 974,9272]= 26/4515464
Therefore, the GCF of 8190/974,6682/9272 is 26/4515464.
To find the highest common factor of 8190,6682, we have to find the factors of both numbers and list the highest common factor.
The factors of 8190 are 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190
The factors of 6682 are 1, 2, 13, 26, 257, 514, 3341, 6682
The HCF of 8190,6682 is 26.
Lets's calculate GCF of 8190,6682
| 2 | 8190, 6682 |
| 13 | 4095, 3341 |
| 315, 257 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 8190,6682 By Matching Biggest Common Factor Method
Now, list down the factors of 8190
:1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190
Now, list down the factors of 6682
:1,2,13,26,257,514,3341,6682
Greatest Common Factor
We found the factors 8190,6682 . The biggest common factor number is the GCF number.
So the greatest common factor 8190,6682 is 26.
Lets's calculate LCM of 974,9272
| 2 | 974, 9272 |
| 487, 4636 |
∴ So the LCM of the given numbers is 2 x 487 x 4636 = 4515464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/4515464
Therefore, the GCF of Fractions 8190/974,6682/9272 is 26/4515464
Least Common Multiple of 974,9272 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 974,9272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,9272) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,9272) x common factors =2 x 1 = 2
LCM(974,9272) = ( 974 × 9272 ) / 2
LCM(974,9272) = 9030928 / 2
LCM(974,9272) = 4515464
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8190/974, 6682/9272
1. What is the HCF of 8190,6682?
The HCF of 8190,6682 is 26
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 8190/974, 6682/9272?
Answer: GCF of Numerators as per given numbers 8190/974, 6682/9272 is
GCF of Numerators i.e. for 8190,6682 is 26
LCM of denominators i.e. for 974,9272 is 4515464.
Thus, GCF of Fractions is 26/4515464.Finally, GCF of Fractions for 8190/974, 6682/9272 is 26/4515464.