GCF of 379/408, 617/787, 741/668
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 379/408, 617/787, 741/668 i.e 1/53623032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 379/408, 617/787, 741/668.
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 379/408,617/787,741/668?
Given fractions are 379/408,617/787,741/668
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 379/408,617/787,741/668, numerators are 379,617,741
Denominators are 408,787,668
The GCF of 379,617,741 is 1 .
LCM of 408,787,668 is 53623032.
The greatest common factor of 379/408,617/787,741/668 = [GCF of 379,617,741]/[LCM of 408,787,668]= 1/53623032
Therefore, the GCF of 379/408,617/787,741/668 is 1/53623032.
To find the highest common factor of 379,617,741, we have to find the factors of both numbers and list the highest common factor.
The factors of 379 are 1, 379
The factors of 617 are 1, 617
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The HCF of 379,617,741 is 1.
Lets's calculate GCF of 379,617,741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 379,617,741 By Matching Biggest Common Factor Method
Now, list down the factors of 379
:1,379
Now, list down the factors of 617
:1,617
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 379,617,741 . The biggest common factor number is the GCF number.
So the greatest common factor 379,617,741 is 1.
Lets's calculate LCM of 408,787,668
| 2 | 408, 787, 668 |
| 2 | 204, 787, 334 |
| 102, 787, 167 |
∴ So the LCM of the given numbers is 2 x 2 x 102 x 787 x 167 = 53623032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53623032
Therefore, the GCF of Fractions 379/408,617/787,741/668 is 1/53623032
Least Common Multiple of 408,787,668 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 408,787,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,787,668) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(408,787,668) x common factors =1 x 4 = 4
LCM(408,787,668) = ( 408 × 787 × 668 ) / 4
LCM(408,787,668) = 214492128 / 4
LCM(408,787,668) = 53623032
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FAQs on GCF of Fractions of 379/408, 617/787, 741/668
1. What is the HCF of 379,617,741?
The HCF of 379,617,741 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 379/408, 617/787, 741/668?
Answer: GCF of Numerators as per given numbers 379/408, 617/787, 741/668 is
GCF of Numerators i.e. for 379,617,741 is 1
LCM of denominators i.e. for 408,787,668 is 53623032.
Thus, GCF of Fractions is 1/53623032.Finally, GCF of Fractions for 379/408, 617/787, 741/668 is 1/53623032.