GCF of 59/40, 133/61, 940/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 59/40, 133/61, 940/972 i.e 1/592920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/40, 133/61, 940/972.
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 59/40,133/61,940/972?
Given fractions are 59/40,133/61,940/972
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 59/40,133/61,940/972, numerators are 59,133,940
Denominators are 40,61,972
The GCF of 59,133,940 is 1 .
LCM of 40,61,972 is 592920.
The greatest common factor of 59/40,133/61,940/972 = [GCF of 59,133,940]/[LCM of 40,61,972]= 1/592920
Therefore, the GCF of 59/40,133/61,940/972 is 1/592920.
To find the highest common factor of 59,133,940, we have to find the factors of both numbers and list the highest common factor.
The factors of 59 are 1, 59
The factors of 133 are 1, 7, 19, 133
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The HCF of 59,133,940 is 1.
Lets's calculate GCF of 59,133,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 59,133,940 By Matching Biggest Common Factor Method
Now, list down the factors of 59
:1,59
Now, list down the factors of 133
:1,7,19,133
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 59,133,940 . The biggest common factor number is the GCF number.
So the greatest common factor 59,133,940 is 1.
Lets's calculate LCM of 40,61,972
| 2 | 40, 61, 972 |
| 2 | 20, 61, 486 |
| 10, 61, 243 |
∴ So the LCM of the given numbers is 2 x 2 x 10 x 61 x 243 = 592920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/592920
Therefore, the GCF of Fractions 59/40,133/61,940/972 is 1/592920
Least Common Multiple of 40,61,972 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 40,61,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,61,972) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(40,61,972) x common factors =1 x 4 = 4
LCM(40,61,972) = ( 40 × 61 × 972 ) / 4
LCM(40,61,972) = 2371680 / 4
LCM(40,61,972) = 592920
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FAQs on GCF of Fractions of 59/40, 133/61, 940/972
1. What is the HCF of 59,133,940?
The HCF of 59,133,940 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 59/40, 133/61, 940/972?
Answer: GCF of Numerators as per given numbers 59/40, 133/61, 940/972 is
GCF of Numerators i.e. for 59,133,940 is 1
LCM of denominators i.e. for 40,61,972 is 592920.
Thus, GCF of Fractions is 1/592920.Finally, GCF of Fractions for 59/40, 133/61, 940/972 is 1/592920.