GCF of 437/875, 112/121, 960/986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 437/875, 112/121, 960/986 i.e 1/104392750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/875, 112/121, 960/986.
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 437/875,112/121,960/986?
Given fractions are 437/875,112/121,960/986
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 437/875,112/121,960/986, numerators are 437,112,960
Denominators are 875,121,986
The GCF of 437,112,960 is 1 .
LCM of 875,121,986 is 104392750.
The greatest common factor of 437/875,112/121,960/986 = [GCF of 437,112,960]/[LCM of 875,121,986]= 1/104392750
Therefore, the GCF of 437/875,112/121,960/986 is 1/104392750.
To find the highest common factor of 437,112,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 437 are 1, 19, 23, 437
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The HCF of 437,112,960 is 1.
Lets's calculate GCF of 437,112,960
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 437,112,960 By Matching Biggest Common Factor Method
Now, list down the factors of 437
:1,19,23,437
Now, list down the factors of 112
:1,2,4,7,8,14,16,28,56,112
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 437,112,960 . The biggest common factor number is the GCF number.
So the greatest common factor 437,112,960 is 1.
Lets's calculate LCM of 875,121,986
Given numbers has no common factors except 1. So, there LCM is their product i.e 104392750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104392750
Therefore, the GCF of Fractions 437/875,112/121,960/986 is 1/104392750
Least Common Multiple of 875,121,986 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 875,121,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,121,986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,121,986) x common factors =1 x 1 = 1
LCM(875,121,986) = ( 875 × 121 × 986 ) / 1
LCM(875,121,986) = 104392750 / 1
LCM(875,121,986) = 104392750
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FAQs on GCF of Fractions of 437/875, 112/121, 960/986
1. What is the HCF of 437,112,960?
The HCF of 437,112,960 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 437/875, 112/121, 960/986?
Answer: GCF of Numerators as per given numbers 437/875, 112/121, 960/986 is
GCF of Numerators i.e. for 437,112,960 is 1
LCM of denominators i.e. for 875,121,986 is 104392750.
Thus, GCF of Fractions is 1/104392750.Finally, GCF of Fractions for 437/875, 112/121, 960/986 is 1/104392750.