GCF of 140/12, 580/7458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 140/12, 580/7458 i.e 20/14916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 140/12, 580/7458.
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 140/12,580/7458?
Given fractions are 140/12,580/7458
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 140/12,580/7458, numerators are 140,580
Denominators are 12,7458
The GCF of 140,580 is 20 .
LCM of 12,7458 is 14916.
The greatest common factor of 140/12,580/7458 = [GCF of 140,580]/[LCM of 12,7458]= 20/14916
Therefore, the GCF of 140/12,580/7458 is 20/14916.
To find the highest common factor of 140,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 140,580 is 20.
Lets's calculate GCF of 140,580
| 2 | 140, 580 |
| 2 | 70, 290 |
| 5 | 35, 145 |
| 7, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 140,580 By Matching Biggest Common Factor Method
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 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 140,580 . The biggest common factor number is the GCF number.
So the greatest common factor 140,580 is 20.
Lets's calculate LCM of 12,7458
| 2 | 12, 7458 |
| 3 | 6, 3729 |
| 2, 1243 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 1243 = 14916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/14916
Therefore, the GCF of Fractions 140/12,580/7458 is 20/14916
Least Common Multiple of 12,7458 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 12,7458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,7458) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(12,7458) x common factors =6 x 1 = 6
LCM(12,7458) = ( 12 × 7458 ) / 6
LCM(12,7458) = 89496 / 6
LCM(12,7458) = 14916
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 140/12, 580/7458
1. What is the HCF of 140,580?
The HCF of 140,580 is 20
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 140/12, 580/7458?
Answer: GCF of Numerators as per given numbers 140/12, 580/7458 is
GCF of Numerators i.e. for 140,580 is 20
LCM of denominators i.e. for 12,7458 is 14916.
Thus, GCF of Fractions is 20/14916.Finally, GCF of Fractions for 140/12, 580/7458 is 20/14916.