GCF of 72/82, 140/41, 286/629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 72/82, 140/41, 286/629 i.e 2/51578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/82, 140/41, 286/629.
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 72/82,140/41,286/629?
Given fractions are 72/82,140/41,286/629
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 72/82,140/41,286/629, numerators are 72,140,286
Denominators are 82,41,629
The GCF of 72,140,286 is 2 .
LCM of 82,41,629 is 51578.
The greatest common factor of 72/82,140/41,286/629 = [GCF of 72,140,286]/[LCM of 82,41,629]= 2/51578
Therefore, the GCF of 72/82,140/41,286/629 is 2/51578.
To find the highest common factor of 72,140,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 72,140,286 is 2.
Lets's calculate GCF of 72,140,286
| 2 | 72, 140, 286 |
| 36, 70, 143 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 72,140,286 By Matching Biggest Common Factor Method
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 72,140,286 . The biggest common factor number is the GCF number.
So the greatest common factor 72,140,286 is 2.
Lets's calculate LCM of 82,41,629
| 41 | 82, 41, 629 |
| 2, 1, 629 |
∴ So the LCM of the given numbers is 41 x 2 x 1 x 629 = 51578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51578
Therefore, the GCF of Fractions 72/82,140/41,286/629 is 2/51578
Least Common Multiple of 82,41,629 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 82,41,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,41,629) = 1
common factors(in case of two or more numbers have common factors) = 41
GCF(82,41,629) x common factors =1 x 41 = 41
LCM(82,41,629) = ( 82 × 41 × 629 ) / 41
LCM(82,41,629) = 2114698 / 41
LCM(82,41,629) = 51578
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FAQs on GCF of Fractions of 72/82, 140/41, 286/629
1. What is the HCF of 72,140,286?
The HCF of 72,140,286 is 2
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 72/82, 140/41, 286/629?
Answer: GCF of Numerators as per given numbers 72/82, 140/41, 286/629 is
GCF of Numerators i.e. for 72,140,286 is 2
LCM of denominators i.e. for 82,41,629 is 51578.
Thus, GCF of Fractions is 2/51578.Finally, GCF of Fractions for 72/82, 140/41, 286/629 is 2/51578.