GCF of 5370/495, 6090/1579
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5370/495, 6090/1579 i.e 30/781605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5370/495, 6090/1579.
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 5370/495,6090/1579?
Given fractions are 5370/495,6090/1579
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 5370/495,6090/1579, numerators are 5370,6090
Denominators are 495,1579
The GCF of 5370,6090 is 30 .
LCM of 495,1579 is 781605.
The greatest common factor of 5370/495,6090/1579 = [GCF of 5370,6090]/[LCM of 495,1579]= 30/781605
Therefore, the GCF of 5370/495,6090/1579 is 30/781605.
To find the highest common factor of 5370,6090, we have to find the factors of both numbers and list the highest common factor.
The factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370
The factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090
The HCF of 5370,6090 is 30.
Lets's calculate GCF of 5370,6090
| 2 | 5370, 6090 |
| 3 | 2685, 3045 |
| 5 | 895, 1015 |
| 179, 203 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 5370,6090 By Matching Biggest Common Factor Method
Now, list down the factors of 5370
:1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370
Now, list down the factors of 6090
:1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090
Greatest Common Factor
We found the factors 5370,6090 . The biggest common factor number is the GCF number.
So the greatest common factor 5370,6090 is 30.
Lets's calculate LCM of 495,1579
Given numbers has no common factors except 1. So, there LCM is their product i.e 781605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/781605
Therefore, the GCF of Fractions 5370/495,6090/1579 is 30/781605
Least Common Multiple of 495,1579 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 495,1579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,1579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,1579) x common factors =1 x 1 = 1
LCM(495,1579) = ( 495 × 1579 ) / 1
LCM(495,1579) = 781605 / 1
LCM(495,1579) = 781605
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FAQs on GCF of Fractions of 5370/495, 6090/1579
1. What is the HCF of 5370,6090?
The HCF of 5370,6090 is 30
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 5370/495, 6090/1579?
Answer: GCF of Numerators as per given numbers 5370/495, 6090/1579 is
GCF of Numerators i.e. for 5370,6090 is 30
LCM of denominators i.e. for 495,1579 is 781605.
Thus, GCF of Fractions is 30/781605.Finally, GCF of Fractions for 5370/495, 6090/1579 is 30/781605.