GCF of 5720/289, 5458/6975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5720/289, 5458/6975 i.e 2/2015775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5720/289, 5458/6975.
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 5720/289,5458/6975?
Given fractions are 5720/289,5458/6975
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 5720/289,5458/6975, numerators are 5720,5458
Denominators are 289,6975
The GCF of 5720,5458 is 2 .
LCM of 289,6975 is 2015775.
The greatest common factor of 5720/289,5458/6975 = [GCF of 5720,5458]/[LCM of 289,6975]= 2/2015775
Therefore, the GCF of 5720/289,5458/6975 is 2/2015775.
To find the highest common factor of 5720,5458, we have to find the factors of both numbers and list the highest common factor.
The factors of 5720 are 1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720
The factors of 5458 are 1, 2, 2729, 5458
The HCF of 5720,5458 is 2.
Lets's calculate GCF of 5720,5458
| 2 | 5720, 5458 |
| 2860, 2729 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5720,5458 By Matching Biggest Common Factor Method
Now, list down the factors of 5720
:1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720
Now, list down the factors of 5458
:1,2,2729,5458
Greatest Common Factor
We found the factors 5720,5458 . The biggest common factor number is the GCF number.
So the greatest common factor 5720,5458 is 2.
Lets's calculate LCM of 289,6975
Given numbers has no common factors except 1. So, there LCM is their product i.e 2015775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2015775
Therefore, the GCF of Fractions 5720/289,5458/6975 is 2/2015775
Least Common Multiple of 289,6975 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 289,6975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,6975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,6975) x common factors =1 x 1 = 1
LCM(289,6975) = ( 289 × 6975 ) / 1
LCM(289,6975) = 2015775 / 1
LCM(289,6975) = 2015775
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FAQs on GCF of Fractions of 5720/289, 5458/6975
1. What is the HCF of 5720,5458?
The HCF of 5720,5458 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 5720/289, 5458/6975?
Answer: GCF of Numerators as per given numbers 5720/289, 5458/6975 is
GCF of Numerators i.e. for 5720,5458 is 2
LCM of denominators i.e. for 289,6975 is 2015775.
Thus, GCF of Fractions is 2/2015775.Finally, GCF of Fractions for 5720/289, 5458/6975 is 2/2015775.