GCF of 3375/981, 9402/3123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3375/981, 9402/3123 i.e 3/340407 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3375/981, 9402/3123.
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 3375/981,9402/3123?
Given fractions are 3375/981,9402/3123
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 3375/981,9402/3123, numerators are 3375,9402
Denominators are 981,3123
The GCF of 3375,9402 is 3 .
LCM of 981,3123 is 340407.
The greatest common factor of 3375/981,9402/3123 = [GCF of 3375,9402]/[LCM of 981,3123]= 3/340407
Therefore, the GCF of 3375/981,9402/3123 is 3/340407.
To find the highest common factor of 3375,9402, we have to find the factors of both numbers and list the highest common factor.
The factors of 3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375
The factors of 9402 are 1, 2, 3, 6, 1567, 3134, 4701, 9402
The HCF of 3375,9402 is 3.
Lets's calculate GCF of 3375,9402
| 3 | 3375, 9402 |
| 1125, 3134 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3375,9402 By Matching Biggest Common Factor Method
Now, list down the factors of 3375
:1,3,5,9,15,25,27,45,75,125,135,225,375,675,1125,3375
Now, list down the factors of 9402
:1,2,3,6,1567,3134,4701,9402
Greatest Common Factor
We found the factors 3375,9402 . The biggest common factor number is the GCF number.
So the greatest common factor 3375,9402 is 3.
Lets's calculate LCM of 981,3123
| 3 | 981, 3123 |
| 3 | 327, 1041 |
| 109, 347 |
∴ So the LCM of the given numbers is 3 x 3 x 109 x 347 = 340407
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/340407
Therefore, the GCF of Fractions 3375/981,9402/3123 is 3/340407
Least Common Multiple of 981,3123 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 981,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,3123) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(981,3123) x common factors =9 x 1 = 9
LCM(981,3123) = ( 981 × 3123 ) / 9
LCM(981,3123) = 3063663 / 9
LCM(981,3123) = 340407
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FAQs on GCF of Fractions of 3375/981, 9402/3123
1. What is the HCF of 3375,9402?
The HCF of 3375,9402 is 3
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 3375/981, 9402/3123?
Answer: GCF of Numerators as per given numbers 3375/981, 9402/3123 is
GCF of Numerators i.e. for 3375,9402 is 3
LCM of denominators i.e. for 981,3123 is 340407.
Thus, GCF of Fractions is 3/340407.Finally, GCF of Fractions for 3375/981, 9402/3123 is 3/340407.