GCF of 581/709, 968/348, 584/848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 581/709, 968/348, 584/848 i.e 1/52307184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 581/709, 968/348, 584/848.
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 581/709,968/348,584/848?
Given fractions are 581/709,968/348,584/848
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 581/709,968/348,584/848, numerators are 581,968,584
Denominators are 709,348,848
The GCF of 581,968,584 is 1 .
LCM of 709,348,848 is 52307184.
The greatest common factor of 581/709,968/348,584/848 = [GCF of 581,968,584]/[LCM of 709,348,848]= 1/52307184
Therefore, the GCF of 581/709,968/348,584/848 is 1/52307184.
To find the highest common factor of 581,968,584, we have to find the factors of both numbers and list the highest common factor.
The factors of 581 are 1, 7, 83, 581
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 581,968,584 is 1.
Lets's calculate GCF of 581,968,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 581,968,584 By Matching Biggest Common Factor Method
Now, list down the factors of 581
:1,7,83,581
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 581,968,584 . The biggest common factor number is the GCF number.
So the greatest common factor 581,968,584 is 1.
Lets's calculate LCM of 709,348,848
| 2 | 709, 348, 848 |
| 2 | 709, 174, 424 |
| 709, 87, 212 |
∴ So the LCM of the given numbers is 2 x 2 x 709 x 87 x 212 = 52307184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52307184
Therefore, the GCF of Fractions 581/709,968/348,584/848 is 1/52307184
Least Common Multiple of 709,348,848 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 709,348,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,348,848) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(709,348,848) x common factors =1 x 4 = 4
LCM(709,348,848) = ( 709 × 348 × 848 ) / 4
LCM(709,348,848) = 209228736 / 4
LCM(709,348,848) = 52307184
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 581/709, 968/348, 584/848
1. What is the HCF of 581,968,584?
The HCF of 581,968,584 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 581/709, 968/348, 584/848?
Answer: GCF of Numerators as per given numbers 581/709, 968/348, 584/848 is
GCF of Numerators i.e. for 581,968,584 is 1
LCM of denominators i.e. for 709,348,848 is 52307184.
Thus, GCF of Fractions is 1/52307184.Finally, GCF of Fractions for 581/709, 968/348, 584/848 is 1/52307184.