GCF of 923/472, 8970/3000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 923/472, 8970/3000 i.e 13/177000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/472, 8970/3000.
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 923/472,8970/3000?
Given fractions are 923/472,8970/3000
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 923/472,8970/3000, numerators are 923,8970
Denominators are 472,3000
The GCF of 923,8970 is 13 .
LCM of 472,3000 is 177000.
The greatest common factor of 923/472,8970/3000 = [GCF of 923,8970]/[LCM of 472,3000]= 13/177000
Therefore, the GCF of 923/472,8970/3000 is 13/177000.
To find the highest common factor of 923,8970, we have to find the factors of both numbers and list the highest common factor.
The factors of 923 are 1, 13, 71, 923
The factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970
The HCF of 923,8970 is 13.
Lets's calculate GCF of 923,8970
| 13 | 923, 8970 |
| 71, 690 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 923,8970 By Matching Biggest Common Factor Method
Now, list down the factors of 923
:1,13,71,923
Now, list down the factors of 8970
:1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970
Greatest Common Factor
We found the factors 923,8970 . The biggest common factor number is the GCF number.
So the greatest common factor 923,8970 is 13.
Lets's calculate LCM of 472,3000
| 2 | 472, 3000 |
| 2 | 236, 1500 |
| 2 | 118, 750 |
| 59, 375 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 375 = 177000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/177000
Therefore, the GCF of Fractions 923/472,8970/3000 is 13/177000
Least Common Multiple of 472,3000 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 472,3000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,3000) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(472,3000) x common factors =8 x 1 = 8
LCM(472,3000) = ( 472 × 3000 ) / 8
LCM(472,3000) = 1416000 / 8
LCM(472,3000) = 177000
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FAQs on GCF of Fractions of 923/472, 8970/3000
1. What is the HCF of 923,8970?
The HCF of 923,8970 is 13
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 923/472, 8970/3000?
Answer: GCF of Numerators as per given numbers 923/472, 8970/3000 is
GCF of Numerators i.e. for 923,8970 is 13
LCM of denominators i.e. for 472,3000 is 177000.
Thus, GCF of Fractions is 13/177000.Finally, GCF of Fractions for 923/472, 8970/3000 is 13/177000.