GCF of 9473/750, 3954/9738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9473/750, 3954/9738 i.e 1/1217250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9473/750, 3954/9738.
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 9473/750,3954/9738?
Given fractions are 9473/750,3954/9738
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 9473/750,3954/9738, numerators are 9473,3954
Denominators are 750,9738
The GCF of 9473,3954 is 1 .
LCM of 750,9738 is 1217250.
The greatest common factor of 9473/750,3954/9738 = [GCF of 9473,3954]/[LCM of 750,9738]= 1/1217250
Therefore, the GCF of 9473/750,3954/9738 is 1/1217250.
To find the highest common factor of 9473,3954, we have to find the factors of both numbers and list the highest common factor.
The factors of 9473 are 1, 9473
The factors of 3954 are 1, 2, 3, 6, 659, 1318, 1977, 3954
The HCF of 9473,3954 is 1.
Lets's calculate GCF of 9473,3954
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9473,3954 By Matching Biggest Common Factor Method
Now, list down the factors of 9473
:1,9473
Now, list down the factors of 3954
:1,2,3,6,659,1318,1977,3954
Greatest Common Factor
We found the factors 9473,3954 . The biggest common factor number is the GCF number.
So the greatest common factor 9473,3954 is 1.
Lets's calculate LCM of 750,9738
| 2 | 750, 9738 |
| 3 | 375, 4869 |
| 125, 1623 |
∴ So the LCM of the given numbers is 2 x 3 x 125 x 1623 = 1217250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1217250
Therefore, the GCF of Fractions 9473/750,3954/9738 is 1/1217250
Least Common Multiple of 750,9738 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 750,9738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,9738) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(750,9738) x common factors =6 x 1 = 6
LCM(750,9738) = ( 750 × 9738 ) / 6
LCM(750,9738) = 7303500 / 6
LCM(750,9738) = 1217250
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FAQs on GCF of Fractions of 9473/750, 3954/9738
1. What is the HCF of 9473,3954?
The HCF of 9473,3954 is 1
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 9473/750, 3954/9738?
Answer: GCF of Numerators as per given numbers 9473/750, 3954/9738 is
GCF of Numerators i.e. for 9473,3954 is 1
LCM of denominators i.e. for 750,9738 is 1217250.
Thus, GCF of Fractions is 1/1217250.Finally, GCF of Fractions for 9473/750, 3954/9738 is 1/1217250.