GCF of 5692/318, 9726/9186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5692/318, 9726/9186 i.e 2/486858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5692/318, 9726/9186.
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 5692/318,9726/9186?
Given fractions are 5692/318,9726/9186
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 5692/318,9726/9186, numerators are 5692,9726
Denominators are 318,9186
The GCF of 5692,9726 is 2 .
LCM of 318,9186 is 486858.
The greatest common factor of 5692/318,9726/9186 = [GCF of 5692,9726]/[LCM of 318,9186]= 2/486858
Therefore, the GCF of 5692/318,9726/9186 is 2/486858.
To find the highest common factor of 5692,9726, we have to find the factors of both numbers and list the highest common factor.
The factors of 5692 are 1, 2, 4, 1423, 2846, 5692
The factors of 9726 are 1, 2, 3, 6, 1621, 3242, 4863, 9726
The HCF of 5692,9726 is 2.
Lets's calculate GCF of 5692,9726
| 2 | 5692, 9726 |
| 2846, 4863 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5692,9726 By Matching Biggest Common Factor Method
Now, list down the factors of 5692
:1,2,4,1423,2846,5692
Now, list down the factors of 9726
:1,2,3,6,1621,3242,4863,9726
Greatest Common Factor
We found the factors 5692,9726 . The biggest common factor number is the GCF number.
So the greatest common factor 5692,9726 is 2.
Lets's calculate LCM of 318,9186
| 2 | 318, 9186 |
| 3 | 159, 4593 |
| 53, 1531 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 1531 = 486858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/486858
Therefore, the GCF of Fractions 5692/318,9726/9186 is 2/486858
Least Common Multiple of 318,9186 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 318,9186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,9186) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(318,9186) x common factors =6 x 1 = 6
LCM(318,9186) = ( 318 × 9186 ) / 6
LCM(318,9186) = 2921148 / 6
LCM(318,9186) = 486858
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FAQs on GCF of Fractions of 5692/318, 9726/9186
1. What is the HCF of 5692,9726?
The HCF of 5692,9726 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 5692/318, 9726/9186?
Answer: GCF of Numerators as per given numbers 5692/318, 9726/9186 is
GCF of Numerators i.e. for 5692,9726 is 2
LCM of denominators i.e. for 318,9186 is 486858.
Thus, GCF of Fractions is 2/486858.Finally, GCF of Fractions for 5692/318, 9726/9186 is 2/486858.