GCF of 5402/585, 9785/2709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5402/585, 9785/2709 i.e 1/176085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5402/585, 9785/2709.
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 5402/585,9785/2709?
Given fractions are 5402/585,9785/2709
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 5402/585,9785/2709, numerators are 5402,9785
Denominators are 585,2709
The GCF of 5402,9785 is 1 .
LCM of 585,2709 is 176085.
The greatest common factor of 5402/585,9785/2709 = [GCF of 5402,9785]/[LCM of 585,2709]= 1/176085
Therefore, the GCF of 5402/585,9785/2709 is 1/176085.
To find the highest common factor of 5402,9785, we have to find the factors of both numbers and list the highest common factor.
The factors of 5402 are 1, 2, 37, 73, 74, 146, 2701, 5402
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 5402,9785 is 1.
Lets's calculate GCF of 5402,9785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5402,9785 By Matching Biggest Common Factor Method
Now, list down the factors of 5402
:1,2,37,73,74,146,2701,5402
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 5402,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 5402,9785 is 1.
Lets's calculate LCM of 585,2709
| 3 | 585, 2709 |
| 3 | 195, 903 |
| 65, 301 |
∴ So the LCM of the given numbers is 3 x 3 x 65 x 301 = 176085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176085
Therefore, the GCF of Fractions 5402/585,9785/2709 is 1/176085
Least Common Multiple of 585,2709 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 585,2709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,2709) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(585,2709) x common factors =9 x 1 = 9
LCM(585,2709) = ( 585 × 2709 ) / 9
LCM(585,2709) = 1584765 / 9
LCM(585,2709) = 176085
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FAQs on GCF of Fractions of 5402/585, 9785/2709
1. What is the HCF of 5402,9785?
The HCF of 5402,9785 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 5402/585, 9785/2709?
Answer: GCF of Numerators as per given numbers 5402/585, 9785/2709 is
GCF of Numerators i.e. for 5402,9785 is 1
LCM of denominators i.e. for 585,2709 is 176085.
Thus, GCF of Fractions is 1/176085.Finally, GCF of Fractions for 5402/585, 9785/2709 is 1/176085.