GCF of 5470/586, 5963/5974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5470/586, 5963/5974 i.e 1/1750382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5470/586, 5963/5974.
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 5470/586,5963/5974?
Given fractions are 5470/586,5963/5974
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 5470/586,5963/5974, numerators are 5470,5963
Denominators are 586,5974
The GCF of 5470,5963 is 1 .
LCM of 586,5974 is 1750382.
The greatest common factor of 5470/586,5963/5974 = [GCF of 5470,5963]/[LCM of 586,5974]= 1/1750382
Therefore, the GCF of 5470/586,5963/5974 is 1/1750382.
To find the highest common factor of 5470,5963, we have to find the factors of both numbers and list the highest common factor.
The factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470
The factors of 5963 are 1, 67, 89, 5963
The HCF of 5470,5963 is 1.
Lets's calculate GCF of 5470,5963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5470,5963 By Matching Biggest Common Factor Method
Now, list down the factors of 5470
:1,2,5,10,547,1094,2735,5470
Now, list down the factors of 5963
:1,67,89,5963
Greatest Common Factor
We found the factors 5470,5963 . The biggest common factor number is the GCF number.
So the greatest common factor 5470,5963 is 1.
Lets's calculate LCM of 586,5974
| 2 | 586, 5974 |
| 293, 2987 |
∴ So the LCM of the given numbers is 2 x 293 x 2987 = 1750382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1750382
Therefore, the GCF of Fractions 5470/586,5963/5974 is 1/1750382
Least Common Multiple of 586,5974 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 586,5974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,5974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,5974) x common factors =2 x 1 = 2
LCM(586,5974) = ( 586 × 5974 ) / 2
LCM(586,5974) = 3500764 / 2
LCM(586,5974) = 1750382
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FAQs on GCF of Fractions of 5470/586, 5963/5974
1. What is the HCF of 5470,5963?
The HCF of 5470,5963 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 5470/586, 5963/5974?
Answer: GCF of Numerators as per given numbers 5470/586, 5963/5974 is
GCF of Numerators i.e. for 5470,5963 is 1
LCM of denominators i.e. for 586,5974 is 1750382.
Thus, GCF of Fractions is 1/1750382.Finally, GCF of Fractions for 5470/586, 5963/5974 is 1/1750382.