GCF of 2170/513, 9958/4490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2170/513, 9958/4490 i.e 2/2303370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2170/513, 9958/4490.
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 2170/513,9958/4490?
Given fractions are 2170/513,9958/4490
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 2170/513,9958/4490, numerators are 2170,9958
Denominators are 513,4490
The GCF of 2170,9958 is 2 .
LCM of 513,4490 is 2303370.
The greatest common factor of 2170/513,9958/4490 = [GCF of 2170,9958]/[LCM of 513,4490]= 2/2303370
Therefore, the GCF of 2170/513,9958/4490 is 2/2303370.
To find the highest common factor of 2170,9958, we have to find the factors of both numbers and list the highest common factor.
The factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170
The factors of 9958 are 1, 2, 13, 26, 383, 766, 4979, 9958
The HCF of 2170,9958 is 2.
Lets's calculate GCF of 2170,9958
| 2 | 2170, 9958 |
| 1085, 4979 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2170,9958 By Matching Biggest Common Factor Method
Now, list down the factors of 2170
:1,2,5,7,10,14,31,35,62,70,155,217,310,434,1085,2170
Now, list down the factors of 9958
:1,2,13,26,383,766,4979,9958
Greatest Common Factor
We found the factors 2170,9958 . The biggest common factor number is the GCF number.
So the greatest common factor 2170,9958 is 2.
Lets's calculate LCM of 513,4490
Given numbers has no common factors except 1. So, there LCM is their product i.e 2303370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2303370
Therefore, the GCF of Fractions 2170/513,9958/4490 is 2/2303370
Least Common Multiple of 513,4490 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 513,4490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,4490) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,4490) x common factors =1 x 1 = 1
LCM(513,4490) = ( 513 × 4490 ) / 1
LCM(513,4490) = 2303370 / 1
LCM(513,4490) = 2303370
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FAQs on GCF of Fractions of 2170/513, 9958/4490
1. What is the HCF of 2170,9958?
The HCF of 2170,9958 is 2
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 2170/513, 9958/4490?
Answer: GCF of Numerators as per given numbers 2170/513, 9958/4490 is
GCF of Numerators i.e. for 2170,9958 is 2
LCM of denominators i.e. for 513,4490 is 2303370.
Thus, GCF of Fractions is 2/2303370.Finally, GCF of Fractions for 2170/513, 9958/4490 is 2/2303370.