GCF of 2969/586, 2210/4616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2969/586, 2210/4616 i.e 1/1352488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2969/586, 2210/4616.
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 2969/586,2210/4616?
Given fractions are 2969/586,2210/4616
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 2969/586,2210/4616, numerators are 2969,2210
Denominators are 586,4616
The GCF of 2969,2210 is 1 .
LCM of 586,4616 is 1352488.
The greatest common factor of 2969/586,2210/4616 = [GCF of 2969,2210]/[LCM of 586,4616]= 1/1352488
Therefore, the GCF of 2969/586,2210/4616 is 1/1352488.
To find the highest common factor of 2969,2210, we have to find the factors of both numbers and list the highest common factor.
The factors of 2969 are 1, 2969
The factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210
The HCF of 2969,2210 is 1.
Lets's calculate GCF of 2969,2210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2969,2210 By Matching Biggest Common Factor Method
Now, list down the factors of 2969
:1,2969
Now, list down the factors of 2210
:1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210
Greatest Common Factor
We found the factors 2969,2210 . The biggest common factor number is the GCF number.
So the greatest common factor 2969,2210 is 1.
Lets's calculate LCM of 586,4616
| 2 | 586, 4616 |
| 293, 2308 |
∴ So the LCM of the given numbers is 2 x 293 x 2308 = 1352488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1352488
Therefore, the GCF of Fractions 2969/586,2210/4616 is 1/1352488
Least Common Multiple of 586,4616 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 586,4616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,4616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,4616) x common factors =2 x 1 = 2
LCM(586,4616) = ( 586 × 4616 ) / 2
LCM(586,4616) = 2704976 / 2
LCM(586,4616) = 1352488
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FAQs on GCF of Fractions of 2969/586, 2210/4616
1. What is the HCF of 2969,2210?
The HCF of 2969,2210 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 2969/586, 2210/4616?
Answer: GCF of Numerators as per given numbers 2969/586, 2210/4616 is
GCF of Numerators i.e. for 2969,2210 is 1
LCM of denominators i.e. for 586,4616 is 1352488.
Thus, GCF of Fractions is 1/1352488.Finally, GCF of Fractions for 2969/586, 2210/4616 is 1/1352488.