GCF of 9470/381, 5970/8823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9470/381, 5970/8823 i.e 10/1120521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9470/381, 5970/8823.
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 9470/381,5970/8823?
Given fractions are 9470/381,5970/8823
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 9470/381,5970/8823, numerators are 9470,5970
Denominators are 381,8823
The GCF of 9470,5970 is 10 .
LCM of 381,8823 is 1120521.
The greatest common factor of 9470/381,5970/8823 = [GCF of 9470,5970]/[LCM of 381,8823]= 10/1120521
Therefore, the GCF of 9470/381,5970/8823 is 10/1120521.
To find the highest common factor of 9470,5970, we have to find the factors of both numbers and list the highest common factor.
The factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470
The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970
The HCF of 9470,5970 is 10.
Lets's calculate GCF of 9470,5970
| 2 | 9470, 5970 |
| 5 | 4735, 2985 |
| 947, 597 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9470,5970 By Matching Biggest Common Factor Method
Now, list down the factors of 9470
:1,2,5,10,947,1894,4735,9470
Now, list down the factors of 5970
:1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors 9470,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 9470,5970 is 10.
Lets's calculate LCM of 381,8823
| 3 | 381, 8823 |
| 127, 2941 |
∴ So the LCM of the given numbers is 3 x 127 x 2941 = 1120521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1120521
Therefore, the GCF of Fractions 9470/381,5970/8823 is 10/1120521
Least Common Multiple of 381,8823 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 381,8823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,8823) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,8823) x common factors =3 x 1 = 3
LCM(381,8823) = ( 381 × 8823 ) / 3
LCM(381,8823) = 3361563 / 3
LCM(381,8823) = 1120521
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FAQs on GCF of Fractions of 9470/381, 5970/8823
1. What is the HCF of 9470,5970?
The HCF of 9470,5970 is 10
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 9470/381, 5970/8823?
Answer: GCF of Numerators as per given numbers 9470/381, 5970/8823 is
GCF of Numerators i.e. for 9470,5970 is 10
LCM of denominators i.e. for 381,8823 is 1120521.
Thus, GCF of Fractions is 10/1120521.Finally, GCF of Fractions for 9470/381, 5970/8823 is 10/1120521.