GCF of 377/60, 645/56, 768/85
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 377/60, 645/56, 768/85 i.e 1/14280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 377/60, 645/56, 768/85.
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 377/60,645/56,768/85?
Given fractions are 377/60,645/56,768/85
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 377/60,645/56,768/85, numerators are 377,645,768
Denominators are 60,56,85
The GCF of 377,645,768 is 1 .
LCM of 60,56,85 is 14280.
The greatest common factor of 377/60,645/56,768/85 = [GCF of 377,645,768]/[LCM of 60,56,85]= 1/14280
Therefore, the GCF of 377/60,645/56,768/85 is 1/14280.
To find the highest common factor of 377,645,768, we have to find the factors of both numbers and list the highest common factor.
The factors of 377 are 1, 13, 29, 377
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The HCF of 377,645,768 is 1.
Lets's calculate GCF of 377,645,768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 377,645,768 By Matching Biggest Common Factor Method
Now, list down the factors of 377
:1,13,29,377
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 377,645,768 . The biggest common factor number is the GCF number.
So the greatest common factor 377,645,768 is 1.
Lets's calculate LCM of 60,56,85
| 2 | 60, 56, 85 |
| 2 | 30, 28, 85 |
| 5 | 15, 14, 85 |
| 3, 14, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 14 x 17 = 14280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14280
Therefore, the GCF of Fractions 377/60,645/56,768/85 is 1/14280
Least Common Multiple of 60,56,85 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 60,56,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,56,85) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(60,56,85) x common factors =1 x 20 = 20
LCM(60,56,85) = ( 60 × 56 × 85 ) / 20
LCM(60,56,85) = 285600 / 20
LCM(60,56,85) = 14280
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FAQs on GCF of Fractions of 377/60, 645/56, 768/85
1. What is the HCF of 377,645,768?
The HCF of 377,645,768 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 377/60, 645/56, 768/85?
Answer: GCF of Numerators as per given numbers 377/60, 645/56, 768/85 is
GCF of Numerators i.e. for 377,645,768 is 1
LCM of denominators i.e. for 60,56,85 is 14280.
Thus, GCF of Fractions is 1/14280.Finally, GCF of Fractions for 377/60, 645/56, 768/85 is 1/14280.