GCF of 983/78, 641/32, 513/77
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 983/78, 641/32, 513/77 i.e 1/96096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 983/78, 641/32, 513/77.
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 983/78,641/32,513/77?
Given fractions are 983/78,641/32,513/77
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 983/78,641/32,513/77, numerators are 983,641,513
Denominators are 78,32,77
The GCF of 983,641,513 is 1 .
LCM of 78,32,77 is 96096.
The greatest common factor of 983/78,641/32,513/77 = [GCF of 983,641,513]/[LCM of 78,32,77]= 1/96096
Therefore, the GCF of 983/78,641/32,513/77 is 1/96096.
To find the highest common factor of 983,641,513, we have to find the factors of both numbers and list the highest common factor.
The factors of 983 are 1, 983
The factors of 641 are 1, 641
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 983,641,513 is 1.
Lets's calculate GCF of 983,641,513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 983,641,513 By Matching Biggest Common Factor Method
Now, list down the factors of 983
:1,983
Now, list down the factors of 641
:1,641
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 983,641,513 . The biggest common factor number is the GCF number.
So the greatest common factor 983,641,513 is 1.
Lets's calculate LCM of 78,32,77
| 2 | 78, 32, 77 |
| 39, 16, 77 |
∴ So the LCM of the given numbers is 2 x 39 x 16 x 77 = 96096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96096
Therefore, the GCF of Fractions 983/78,641/32,513/77 is 1/96096
Least Common Multiple of 78,32,77 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 78,32,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,32,77) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(78,32,77) x common factors =1 x 2 = 2
LCM(78,32,77) = ( 78 × 32 × 77 ) / 2
LCM(78,32,77) = 192192 / 2
LCM(78,32,77) = 96096
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FAQs on GCF of Fractions of 983/78, 641/32, 513/77
1. What is the HCF of 983,641,513?
The HCF of 983,641,513 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 983/78, 641/32, 513/77?
Answer: GCF of Numerators as per given numbers 983/78, 641/32, 513/77 is
GCF of Numerators i.e. for 983,641,513 is 1
LCM of denominators i.e. for 78,32,77 is 96096.
Thus, GCF of Fractions is 1/96096.Finally, GCF of Fractions for 983/78, 641/32, 513/77 is 1/96096.