GCF of 8910/740, 7101/3254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8910/740, 7101/3254 i.e 27/1203980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8910/740, 7101/3254.
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 8910/740,7101/3254?
Given fractions are 8910/740,7101/3254
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 8910/740,7101/3254, numerators are 8910,7101
Denominators are 740,3254
The GCF of 8910,7101 is 27 .
LCM of 740,3254 is 1203980.
The greatest common factor of 8910/740,7101/3254 = [GCF of 8910,7101]/[LCM of 740,3254]= 27/1203980
Therefore, the GCF of 8910/740,7101/3254 is 27/1203980.
To find the highest common factor of 8910,7101, we have to find the factors of both numbers and list the highest common factor.
The factors of 8910 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 135, 162, 165, 198, 270, 297, 330, 405, 495, 594, 810, 891, 990, 1485, 1782, 2970, 4455, 8910
The factors of 7101 are 1, 3, 9, 27, 263, 789, 2367, 7101
The HCF of 8910,7101 is 27.
Lets's calculate GCF of 8910,7101
| 3 | 8910, 7101 |
| 3 | 2970, 2367 |
| 3 | 990, 789 |
| 330, 263 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 8910,7101 By Matching Biggest Common Factor Method
Now, list down the factors of 8910
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910
Now, list down the factors of 7101
:1,3,9,27,263,789,2367,7101
Greatest Common Factor
We found the factors 8910,7101 . The biggest common factor number is the GCF number.
So the greatest common factor 8910,7101 is 27.
Lets's calculate LCM of 740,3254
| 2 | 740, 3254 |
| 370, 1627 |
∴ So the LCM of the given numbers is 2 x 370 x 1627 = 1203980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1203980
Therefore, the GCF of Fractions 8910/740,7101/3254 is 27/1203980
Least Common Multiple of 740,3254 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 740,3254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,3254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(740,3254) x common factors =2 x 1 = 2
LCM(740,3254) = ( 740 × 3254 ) / 2
LCM(740,3254) = 2407960 / 2
LCM(740,3254) = 1203980
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FAQs on GCF of Fractions of 8910/740, 7101/3254
1. What is the HCF of 8910,7101?
The HCF of 8910,7101 is 27
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 8910/740, 7101/3254?
Answer: GCF of Numerators as per given numbers 8910/740, 7101/3254 is
GCF of Numerators i.e. for 8910,7101 is 27
LCM of denominators i.e. for 740,3254 is 1203980.
Thus, GCF of Fractions is 27/1203980.Finally, GCF of Fractions for 8910/740, 7101/3254 is 27/1203980.