GCF of 730/168, 3659/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 730/168, 3659/782 i.e 1/65688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 730/168, 3659/782.
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 730/168,3659/782?
Given fractions are 730/168,3659/782
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 730/168,3659/782, numerators are 730,3659
Denominators are 168,782
The GCF of 730,3659 is 1 .
LCM of 168,782 is 65688.
The greatest common factor of 730/168,3659/782 = [GCF of 730,3659]/[LCM of 168,782]= 1/65688
Therefore, the GCF of 730/168,3659/782 is 1/65688.
To find the highest common factor of 730,3659, we have to find the factors of both numbers and list the highest common factor.
The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730
The factors of 3659 are 1, 3659
The HCF of 730,3659 is 1.
Lets's calculate GCF of 730,3659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 730,3659 By Matching Biggest Common Factor Method
Now, list down the factors of 730
:1,2,5,10,73,146,365,730
Now, list down the factors of 3659
:1,3659
Greatest Common Factor
We found the factors 730,3659 . The biggest common factor number is the GCF number.
So the greatest common factor 730,3659 is 1.
Lets's calculate LCM of 168,782
| 2 | 168, 782 |
| 84, 391 |
∴ So the LCM of the given numbers is 2 x 84 x 391 = 65688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65688
Therefore, the GCF of Fractions 730/168,3659/782 is 1/65688
Least Common Multiple of 168,782 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 168,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,782) x common factors =2 x 1 = 2
LCM(168,782) = ( 168 × 782 ) / 2
LCM(168,782) = 131376 / 2
LCM(168,782) = 65688
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FAQs on GCF of Fractions of 730/168, 3659/782
1. What is the HCF of 730,3659?
The HCF of 730,3659 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 730/168, 3659/782?
Answer: GCF of Numerators as per given numbers 730/168, 3659/782 is
GCF of Numerators i.e. for 730,3659 is 1
LCM of denominators i.e. for 168,782 is 65688.
Thus, GCF of Fractions is 1/65688.Finally, GCF of Fractions for 730/168, 3659/782 is 1/65688.