GCF of 293/65, 736/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 293/65, 736/735 i.e 1/9555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 293/65, 736/735.
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 293/65,736/735?
Given fractions are 293/65,736/735
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 293/65,736/735, numerators are 293,736
Denominators are 65,735
The GCF of 293,736 is 1 .
LCM of 65,735 is 9555.
The greatest common factor of 293/65,736/735 = [GCF of 293,736]/[LCM of 65,735]= 1/9555
Therefore, the GCF of 293/65,736/735 is 1/9555.
To find the highest common factor of 293,736, we have to find the factors of both numbers and list the highest common factor.
The factors of 293 are 1, 293
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The HCF of 293,736 is 1.
Lets's calculate GCF of 293,736
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 293,736 By Matching Biggest Common Factor Method
Now, list down the factors of 293
:1,293
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors 293,736 . The biggest common factor number is the GCF number.
So the greatest common factor 293,736 is 1.
Lets's calculate LCM of 65,735
| 5 | 65, 735 |
| 13, 147 |
∴ So the LCM of the given numbers is 5 x 13 x 147 = 9555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9555
Therefore, the GCF of Fractions 293/65,736/735 is 1/9555
Least Common Multiple of 65,735 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 65,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,735) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(65,735) x common factors =5 x 1 = 5
LCM(65,735) = ( 65 × 735 ) / 5
LCM(65,735) = 47775 / 5
LCM(65,735) = 9555
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FAQs on GCF of Fractions of 293/65, 736/735
1. What is the HCF of 293,736?
The HCF of 293,736 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 293/65, 736/735?
Answer: GCF of Numerators as per given numbers 293/65, 736/735 is
GCF of Numerators i.e. for 293,736 is 1
LCM of denominators i.e. for 65,735 is 9555.
Thus, GCF of Fractions is 1/9555.Finally, GCF of Fractions for 293/65, 736/735 is 1/9555.