GCF of 9263/786, 3160/4138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9263/786, 3160/4138 i.e 1/1626234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9263/786, 3160/4138.
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 9263/786,3160/4138?
Given fractions are 9263/786,3160/4138
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 9263/786,3160/4138, numerators are 9263,3160
Denominators are 786,4138
The GCF of 9263,3160 is 1 .
LCM of 786,4138 is 1626234.
The greatest common factor of 9263/786,3160/4138 = [GCF of 9263,3160]/[LCM of 786,4138]= 1/1626234
Therefore, the GCF of 9263/786,3160/4138 is 1/1626234.
To find the highest common factor of 9263,3160, we have to find the factors of both numbers and list the highest common factor.
The factors of 9263 are 1, 59, 157, 9263
The factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160
The HCF of 9263,3160 is 1.
Lets's calculate GCF of 9263,3160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9263,3160 By Matching Biggest Common Factor Method
Now, list down the factors of 9263
:1,59,157,9263
Now, list down the factors of 3160
:1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Greatest Common Factor
We found the factors 9263,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 9263,3160 is 1.
Lets's calculate LCM of 786,4138
| 2 | 786, 4138 |
| 393, 2069 |
∴ So the LCM of the given numbers is 2 x 393 x 2069 = 1626234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1626234
Therefore, the GCF of Fractions 9263/786,3160/4138 is 1/1626234
Least Common Multiple of 786,4138 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 786,4138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,4138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,4138) x common factors =2 x 1 = 2
LCM(786,4138) = ( 786 × 4138 ) / 2
LCM(786,4138) = 3252468 / 2
LCM(786,4138) = 1626234
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FAQs on GCF of Fractions of 9263/786, 3160/4138
1. What is the HCF of 9263,3160?
The HCF of 9263,3160 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 9263/786, 3160/4138?
Answer: GCF of Numerators as per given numbers 9263/786, 3160/4138 is
GCF of Numerators i.e. for 9263,3160 is 1
LCM of denominators i.e. for 786,4138 is 1626234.
Thus, GCF of Fractions is 1/1626234.Finally, GCF of Fractions for 9263/786, 3160/4138 is 1/1626234.