GCF of 4240/172, 2680/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4240/172, 2680/978 i.e 40/84108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4240/172, 2680/978.
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 4240/172,2680/978?
Given fractions are 4240/172,2680/978
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 4240/172,2680/978, numerators are 4240,2680
Denominators are 172,978
The GCF of 4240,2680 is 40 .
LCM of 172,978 is 84108.
The greatest common factor of 4240/172,2680/978 = [GCF of 4240,2680]/[LCM of 172,978]= 40/84108
Therefore, the GCF of 4240/172,2680/978 is 40/84108.
To find the highest common factor of 4240,2680, we have to find the factors of both numbers and list the highest common factor.
The factors of 4240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240
The factors of 2680 are 1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340, 2680
The HCF of 4240,2680 is 40.
Lets's calculate GCF of 4240,2680
| 2 | 4240, 2680 |
| 2 | 2120, 1340 |
| 2 | 1060, 670 |
| 5 | 530, 335 |
| 106, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 4240,2680 By Matching Biggest Common Factor Method
Now, list down the factors of 4240
:1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240
Now, list down the factors of 2680
:1,2,4,5,8,10,20,40,67,134,268,335,536,670,1340,2680
Greatest Common Factor
We found the factors 4240,2680 . The biggest common factor number is the GCF number.
So the greatest common factor 4240,2680 is 40.
Lets's calculate LCM of 172,978
| 2 | 172, 978 |
| 86, 489 |
∴ So the LCM of the given numbers is 2 x 86 x 489 = 84108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/84108
Therefore, the GCF of Fractions 4240/172,2680/978 is 40/84108
Least Common Multiple of 172,978 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 172,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,978) x common factors =2 x 1 = 2
LCM(172,978) = ( 172 × 978 ) / 2
LCM(172,978) = 168216 / 2
LCM(172,978) = 84108
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4240/172, 2680/978
1. What is the HCF of 4240,2680?
The HCF of 4240,2680 is 40
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 4240/172, 2680/978?
Answer: GCF of Numerators as per given numbers 4240/172, 2680/978 is
GCF of Numerators i.e. for 4240,2680 is 40
LCM of denominators i.e. for 172,978 is 84108.
Thus, GCF of Fractions is 40/84108.Finally, GCF of Fractions for 4240/172, 2680/978 is 40/84108.