GCF of 5390/153, 1330/3019
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5390/153, 1330/3019 i.e 70/461907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5390/153, 1330/3019.
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 5390/153,1330/3019?
Given fractions are 5390/153,1330/3019
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 5390/153,1330/3019, numerators are 5390,1330
Denominators are 153,3019
The GCF of 5390,1330 is 70 .
LCM of 153,3019 is 461907.
The greatest common factor of 5390/153,1330/3019 = [GCF of 5390,1330]/[LCM of 153,3019]= 70/461907
Therefore, the GCF of 5390/153,1330/3019 is 70/461907.
To find the highest common factor of 5390,1330, we have to find the factors of both numbers and list the highest common factor.
The factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390
The factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
The HCF of 5390,1330 is 70.
Lets's calculate GCF of 5390,1330
| 2 | 5390, 1330 |
| 5 | 2695, 665 |
| 7 | 539, 133 |
| 77, 19 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Greatest Common Factor of 5390,1330 By Matching Biggest Common Factor Method
Now, list down the factors of 5390
:1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Now, list down the factors of 1330
:1,2,5,7,10,14,19,35,38,70,95,133,190,266,665,1330
Greatest Common Factor
We found the factors 5390,1330 . The biggest common factor number is the GCF number.
So the greatest common factor 5390,1330 is 70.
Lets's calculate LCM of 153,3019
Given numbers has no common factors except 1. So, there LCM is their product i.e 461907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/461907
Therefore, the GCF of Fractions 5390/153,1330/3019 is 70/461907
Least Common Multiple of 153,3019 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 153,3019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,3019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,3019) x common factors =1 x 1 = 1
LCM(153,3019) = ( 153 × 3019 ) / 1
LCM(153,3019) = 461907 / 1
LCM(153,3019) = 461907
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5390/153, 1330/3019
1. What is the HCF of 5390,1330?
The HCF of 5390,1330 is 70
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 5390/153, 1330/3019?
Answer: GCF of Numerators as per given numbers 5390/153, 1330/3019 is
GCF of Numerators i.e. for 5390,1330 is 70
LCM of denominators i.e. for 153,3019 is 461907.
Thus, GCF of Fractions is 70/461907.Finally, GCF of Fractions for 5390/153, 1330/3019 is 70/461907.