GCF of 120/841, 912/471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 120/841, 912/471 i.e 24/396111 easily. The following is the detailed procedure to determine the greatest common factor of fractions 120/841, 912/471.
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 120/841,912/471?
Given fractions are 120/841,912/471
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 120/841,912/471, numerators are 120,912
Denominators are 841,471
The GCF of 120,912 is 24 .
LCM of 841,471 is 396111.
The greatest common factor of 120/841,912/471 = [GCF of 120,912]/[LCM of 841,471]= 24/396111
Therefore, the GCF of 120/841,912/471 is 24/396111.
To find the highest common factor of 120,912, we have to find the factors of both numbers and list the highest common factor.
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The HCF of 120,912 is 24.
Lets's calculate GCF of 120,912
| 2 | 120, 912 |
| 2 | 60, 456 |
| 2 | 30, 228 |
| 3 | 15, 114 |
| 5, 38 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 120,912 By Matching Biggest Common Factor Method
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 120,912 . The biggest common factor number is the GCF number.
So the greatest common factor 120,912 is 24.
Lets's calculate LCM of 841,471
Given numbers has no common factors except 1. So, there LCM is their product i.e 396111
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/396111
Therefore, the GCF of Fractions 120/841,912/471 is 24/396111
Least Common Multiple of 841,471 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 841,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,471) x common factors =1 x 1 = 1
LCM(841,471) = ( 841 × 471 ) / 1
LCM(841,471) = 396111 / 1
LCM(841,471) = 396111
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FAQs on GCF of Fractions of 120/841, 912/471
1. What is the HCF of 120,912?
The HCF of 120,912 is 24
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 120/841, 912/471?
Answer: GCF of Numerators as per given numbers 120/841, 912/471 is
GCF of Numerators i.e. for 120,912 is 24
LCM of denominators i.e. for 841,471 is 396111.
Thus, GCF of Fractions is 24/396111.Finally, GCF of Fractions for 120/841, 912/471 is 24/396111.