GCF of 116/954, 200/657, 316/727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 116/954, 200/657, 316/727 i.e 4/50629734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 116/954, 200/657, 316/727.
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 116/954,200/657,316/727?
Given fractions are 116/954,200/657,316/727
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 116/954,200/657,316/727, numerators are 116,200,316
Denominators are 954,657,727
The GCF of 116,200,316 is 4 .
LCM of 954,657,727 is 50629734.
The greatest common factor of 116/954,200/657,316/727 = [GCF of 116,200,316]/[LCM of 954,657,727]= 4/50629734
Therefore, the GCF of 116/954,200/657,316/727 is 4/50629734.
To find the highest common factor of 116,200,316, we have to find the factors of both numbers and list the highest common factor.
The factors of 116 are 1, 2, 4, 29, 58, 116
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The factors of 316 are 1, 2, 4, 79, 158, 316
The HCF of 116,200,316 is 4.
Lets's calculate GCF of 116,200,316
| 2 | 116, 200, 316 |
| 2 | 58, 100, 158 |
| 29, 50, 79 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 116,200,316 By Matching Biggest Common Factor Method
Now, list down the factors of 116
:1,2,4,29,58,116
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Now, list down the factors of 316
:1,2,4,79,158,316
Greatest Common Factor
We found the factors 116,200,316 . The biggest common factor number is the GCF number.
So the greatest common factor 116,200,316 is 4.
Lets's calculate LCM of 954,657,727
| 3 | 954, 657, 727 |
| 3 | 318, 219, 727 |
| 106, 73, 727 |
∴ So the LCM of the given numbers is 3 x 3 x 106 x 73 x 727 = 50629734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/50629734
Therefore, the GCF of Fractions 116/954,200/657,316/727 is 4/50629734
Least Common Multiple of 954,657,727 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 954,657,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,657,727) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(954,657,727) x common factors =1 x 9 = 9
LCM(954,657,727) = ( 954 × 657 × 727 ) / 9
LCM(954,657,727) = 455667606 / 9
LCM(954,657,727) = 50629734
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FAQs on GCF of Fractions of 116/954, 200/657, 316/727
1. What is the HCF of 116,200,316?
The HCF of 116,200,316 is 4
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 116/954, 200/657, 316/727?
Answer: GCF of Numerators as per given numbers 116/954, 200/657, 316/727 is
GCF of Numerators i.e. for 116,200,316 is 4
LCM of denominators i.e. for 954,657,727 is 50629734.
Thus, GCF of Fractions is 4/50629734.Finally, GCF of Fractions for 116/954, 200/657, 316/727 is 4/50629734.