GCF of 9/48, 64/20, 43/674, 771/180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9/48, 64/20, 43/674, 771/180 i.e 1/242640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/48, 64/20, 43/674, 771/180.
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 9/48,64/20,43/674,771/180?
Given fractions are 9/48,64/20,43/674,771/180
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 9/48,64/20,43/674,771/180, numerators are 9,64,43,771
Denominators are 48,20,674,180
The GCF of 9,64,43,771 is 1 .
LCM of 48,20,674,180 is 242640.
The greatest common factor of 9/48,64/20,43/674,771/180 = [GCF of 9,64,43,771]/[LCM of 48,20,674,180]= 1/242640
Therefore, the GCF of 9/48,64/20,43/674,771/180 is 1/242640.
To find the highest common factor of 9,64,43,771, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 43 are 1, 43
The factors of 771 are 1, 3, 257, 771
The HCF of 9,64,43,771 is 1.
Lets's calculate GCF of 9,64,43,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9,64,43,771 By Matching Biggest Common Factor Method
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 43
:1,43
Now, list down the factors of 771
:1,3,257,771
Greatest Common Factor
We found the factors 9,64,43,771 . The biggest common factor number is the GCF number.
So the greatest common factor 9,64,43,771 is 1.
Lets's calculate LCM of 48,20,674,180
| 2 | 48, 20, 674, 180 |
| 2 | 24, 10, 337, 90 |
| 3 | 12, 5, 337, 45 |
| 5 | 4, 5, 337, 15 |
| 4, 1, 337, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 4 x 1 x 337 x 3 = 242640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242640
Therefore, the GCF of Fractions 9/48,64/20,43/674,771/180 is 1/242640
Least Common Multiple of 48,20,674,180 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 48,20,674,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,20,674,180) = 2
common factors(in case of two or more numbers have common factors) = 240
GCF(48,20,674,180) x common factors =2 x 240 = 480
LCM(48,20,674,180) = ( 48 × 20 × 674 × 180 ) / 480
LCM(48,20,674,180) = 116467200 / 480
LCM(48,20,674,180) = 242640
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FAQs on GCF of Fractions of 9/48, 64/20, 43/674, 771/180
1. What is the HCF of 9,64,43,771?
The HCF of 9,64,43,771 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 9/48, 64/20, 43/674, 771/180?
Answer: GCF of Numerators as per given numbers 9/48, 64/20, 43/674, 771/180 is
GCF of Numerators i.e. for 9,64,43,771 is 1
LCM of denominators i.e. for 48,20,674,180 is 242640.
Thus, GCF of Fractions is 1/242640.Finally, GCF of Fractions for 9/48, 64/20, 43/674, 771/180 is 1/242640.