GCF of 5990/140, 2609/504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5990/140, 2609/504 i.e 1/2520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5990/140, 2609/504.
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 5990/140,2609/504?
Given fractions are 5990/140,2609/504
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 5990/140,2609/504, numerators are 5990,2609
Denominators are 140,504
The GCF of 5990,2609 is 1 .
LCM of 140,504 is 2520.
The greatest common factor of 5990/140,2609/504 = [GCF of 5990,2609]/[LCM of 140,504]= 1/2520
Therefore, the GCF of 5990/140,2609/504 is 1/2520.
To find the highest common factor of 5990,2609, we have to find the factors of both numbers and list the highest common factor.
The factors of 5990 are 1, 2, 5, 10, 599, 1198, 2995, 5990
The factors of 2609 are 1, 2609
The HCF of 5990,2609 is 1.
Lets's calculate GCF of 5990,2609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5990,2609 By Matching Biggest Common Factor Method
Now, list down the factors of 5990
:1,2,5,10,599,1198,2995,5990
Now, list down the factors of 2609
:1,2609
Greatest Common Factor
We found the factors 5990,2609 . The biggest common factor number is the GCF number.
So the greatest common factor 5990,2609 is 1.
Lets's calculate LCM of 140,504
| 2 | 140, 504 |
| 2 | 70, 252 |
| 7 | 35, 126 |
| 5, 18 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 5 x 18 = 2520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520
Therefore, the GCF of Fractions 5990/140,2609/504 is 1/2520
Least Common Multiple of 140,504 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 140,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,504) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(140,504) x common factors =28 x 1 = 28
LCM(140,504) = ( 140 × 504 ) / 28
LCM(140,504) = 70560 / 28
LCM(140,504) = 2520
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FAQs on GCF of Fractions of 5990/140, 2609/504
1. What is the HCF of 5990,2609?
The HCF of 5990,2609 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 5990/140, 2609/504?
Answer: GCF of Numerators as per given numbers 5990/140, 2609/504 is
GCF of Numerators i.e. for 5990,2609 is 1
LCM of denominators i.e. for 140,504 is 2520.
Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 5990/140, 2609/504 is 1/2520.