GCF of 940/40, 690/71, 880/36
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 940/40, 690/71, 880/36 i.e 10/25560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/40, 690/71, 880/36.
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 940/40,690/71,880/36?
Given fractions are 940/40,690/71,880/36
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 940/40,690/71,880/36, numerators are 940,690,880
Denominators are 40,71,36
The GCF of 940,690,880 is 10 .
LCM of 40,71,36 is 25560.
The greatest common factor of 940/40,690/71,880/36 = [GCF of 940,690,880]/[LCM of 40,71,36]= 10/25560
Therefore, the GCF of 940/40,690/71,880/36 is 10/25560.
To find the highest common factor of 940,690,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 940,690,880 is 10.
Lets's calculate GCF of 940,690,880
| 2 | 940, 690, 880 |
| 5 | 470, 345, 440 |
| 94, 69, 88 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 940,690,880 By Matching Biggest Common Factor Method
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Now, list down the factors of 690
:1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 940,690,880 . The biggest common factor number is the GCF number.
So the greatest common factor 940,690,880 is 10.
Lets's calculate LCM of 40,71,36
| 2 | 40, 71, 36 |
| 2 | 20, 71, 18 |
| 10, 71, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 10 x 71 x 9 = 25560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/25560
Therefore, the GCF of Fractions 940/40,690/71,880/36 is 10/25560
Least Common Multiple of 40,71,36 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 40,71,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,71,36) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(40,71,36) x common factors =1 x 4 = 4
LCM(40,71,36) = ( 40 × 71 × 36 ) / 4
LCM(40,71,36) = 102240 / 4
LCM(40,71,36) = 25560
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 940/40, 690/71, 880/36
1. What is the HCF of 940,690,880?
The HCF of 940,690,880 is 10
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 940/40, 690/71, 880/36?
Answer: GCF of Numerators as per given numbers 940/40, 690/71, 880/36 is
GCF of Numerators i.e. for 940,690,880 is 10
LCM of denominators i.e. for 40,71,36 is 25560.
Thus, GCF of Fractions is 10/25560.Finally, GCF of Fractions for 940/40, 690/71, 880/36 is 10/25560.