GCF of 2157/580, 1190/5384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2157/580, 1190/5384 i.e 1/780680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2157/580, 1190/5384.
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 2157/580,1190/5384?
Given fractions are 2157/580,1190/5384
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 2157/580,1190/5384, numerators are 2157,1190
Denominators are 580,5384
The GCF of 2157,1190 is 1 .
LCM of 580,5384 is 780680.
The greatest common factor of 2157/580,1190/5384 = [GCF of 2157,1190]/[LCM of 580,5384]= 1/780680
Therefore, the GCF of 2157/580,1190/5384 is 1/780680.
To find the highest common factor of 2157,1190, we have to find the factors of both numbers and list the highest common factor.
The factors of 2157 are 1, 3, 719, 2157
The factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190
The HCF of 2157,1190 is 1.
Lets's calculate GCF of 2157,1190
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2157,1190 By Matching Biggest Common Factor Method
Now, list down the factors of 2157
:1,3,719,2157
Now, list down the factors of 1190
:1,2,5,7,10,14,17,34,35,70,85,119,170,238,595,1190
Greatest Common Factor
We found the factors 2157,1190 . The biggest common factor number is the GCF number.
So the greatest common factor 2157,1190 is 1.
Lets's calculate LCM of 580,5384
| 2 | 580, 5384 |
| 2 | 290, 2692 |
| 145, 1346 |
∴ So the LCM of the given numbers is 2 x 2 x 145 x 1346 = 780680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780680
Therefore, the GCF of Fractions 2157/580,1190/5384 is 1/780680
Least Common Multiple of 580,5384 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 580,5384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,5384) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(580,5384) x common factors =4 x 1 = 4
LCM(580,5384) = ( 580 × 5384 ) / 4
LCM(580,5384) = 3122720 / 4
LCM(580,5384) = 780680
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FAQs on GCF of Fractions of 2157/580, 1190/5384
1. What is the HCF of 2157,1190?
The HCF of 2157,1190 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 2157/580, 1190/5384?
Answer: GCF of Numerators as per given numbers 2157/580, 1190/5384 is
GCF of Numerators i.e. for 2157,1190 is 1
LCM of denominators i.e. for 580,5384 is 780680.
Thus, GCF of Fractions is 1/780680.Finally, GCF of Fractions for 2157/580, 1190/5384 is 1/780680.