GCF of 2990/298, 6259/4840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2990/298, 6259/4840 i.e 1/721160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2990/298, 6259/4840.
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 2990/298,6259/4840?
Given fractions are 2990/298,6259/4840
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 2990/298,6259/4840, numerators are 2990,6259
Denominators are 298,4840
The GCF of 2990,6259 is 1 .
LCM of 298,4840 is 721160.
The greatest common factor of 2990/298,6259/4840 = [GCF of 2990,6259]/[LCM of 298,4840]= 1/721160
Therefore, the GCF of 2990/298,6259/4840 is 1/721160.
To find the highest common factor of 2990,6259, we have to find the factors of both numbers and list the highest common factor.
The factors of 2990 are 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990
The factors of 6259 are 1, 11, 569, 6259
The HCF of 2990,6259 is 1.
Lets's calculate GCF of 2990,6259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2990,6259 By Matching Biggest Common Factor Method
Now, list down the factors of 2990
:1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990
Now, list down the factors of 6259
:1,11,569,6259
Greatest Common Factor
We found the factors 2990,6259 . The biggest common factor number is the GCF number.
So the greatest common factor 2990,6259 is 1.
Lets's calculate LCM of 298,4840
| 2 | 298, 4840 |
| 149, 2420 |
∴ So the LCM of the given numbers is 2 x 149 x 2420 = 721160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/721160
Therefore, the GCF of Fractions 2990/298,6259/4840 is 1/721160
Least Common Multiple of 298,4840 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 298,4840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,4840) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,4840) x common factors =2 x 1 = 2
LCM(298,4840) = ( 298 × 4840 ) / 2
LCM(298,4840) = 1442320 / 2
LCM(298,4840) = 721160
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FAQs on GCF of Fractions of 2990/298, 6259/4840
1. What is the HCF of 2990,6259?
The HCF of 2990,6259 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 2990/298, 6259/4840?
Answer: GCF of Numerators as per given numbers 2990/298, 6259/4840 is
GCF of Numerators i.e. for 2990,6259 is 1
LCM of denominators i.e. for 298,4840 is 721160.
Thus, GCF of Fractions is 1/721160.Finally, GCF of Fractions for 2990/298, 6259/4840 is 1/721160.