GCF of 736/202, 1785/288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 736/202, 1785/288 i.e 1/29088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 736/202, 1785/288.
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 736/202,1785/288?
Given fractions are 736/202,1785/288
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 736/202,1785/288, numerators are 736,1785
Denominators are 202,288
The GCF of 736,1785 is 1 .
LCM of 202,288 is 29088.
The greatest common factor of 736/202,1785/288 = [GCF of 736,1785]/[LCM of 202,288]= 1/29088
Therefore, the GCF of 736/202,1785/288 is 1/29088.
To find the highest common factor of 736,1785, we have to find the factors of both numbers and list the highest common factor.
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785
The HCF of 736,1785 is 1.
Lets's calculate GCF of 736,1785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 736,1785 By Matching Biggest Common Factor Method
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Now, list down the factors of 1785
:1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Greatest Common Factor
We found the factors 736,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 736,1785 is 1.
Lets's calculate LCM of 202,288
| 2 | 202, 288 |
| 101, 144 |
∴ So the LCM of the given numbers is 2 x 101 x 144 = 29088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29088
Therefore, the GCF of Fractions 736/202,1785/288 is 1/29088
Least Common Multiple of 202,288 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 202,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,288) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,288) x common factors =2 x 1 = 2
LCM(202,288) = ( 202 × 288 ) / 2
LCM(202,288) = 58176 / 2
LCM(202,288) = 29088
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FAQs on GCF of Fractions of 736/202, 1785/288
1. What is the HCF of 736,1785?
The HCF of 736,1785 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 736/202, 1785/288?
Answer: GCF of Numerators as per given numbers 736/202, 1785/288 is
GCF of Numerators i.e. for 736,1785 is 1
LCM of denominators i.e. for 202,288 is 29088.
Thus, GCF of Fractions is 1/29088.Finally, GCF of Fractions for 736/202, 1785/288 is 1/29088.