GCF of 9692/259, 7051/812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9692/259, 7051/812 i.e 1/30044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9692/259, 7051/812.
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 9692/259,7051/812?
Given fractions are 9692/259,7051/812
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 9692/259,7051/812, numerators are 9692,7051
Denominators are 259,812
The GCF of 9692,7051 is 1 .
LCM of 259,812 is 30044.
The greatest common factor of 9692/259,7051/812 = [GCF of 9692,7051]/[LCM of 259,812]= 1/30044
Therefore, the GCF of 9692/259,7051/812 is 1/30044.
To find the highest common factor of 9692,7051, we have to find the factors of both numbers and list the highest common factor.
The factors of 9692 are 1, 2, 4, 2423, 4846, 9692
The factors of 7051 are 1, 11, 641, 7051
The HCF of 9692,7051 is 1.
Lets's calculate GCF of 9692,7051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9692,7051 By Matching Biggest Common Factor Method
Now, list down the factors of 9692
:1,2,4,2423,4846,9692
Now, list down the factors of 7051
:1,11,641,7051
Greatest Common Factor
We found the factors 9692,7051 . The biggest common factor number is the GCF number.
So the greatest common factor 9692,7051 is 1.
Lets's calculate LCM of 259,812
| 7 | 259, 812 |
| 37, 116 |
∴ So the LCM of the given numbers is 7 x 37 x 116 = 30044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30044
Therefore, the GCF of Fractions 9692/259,7051/812 is 1/30044
Least Common Multiple of 259,812 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 259,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,812) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(259,812) x common factors =7 x 1 = 7
LCM(259,812) = ( 259 × 812 ) / 7
LCM(259,812) = 210308 / 7
LCM(259,812) = 30044
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FAQs on GCF of Fractions of 9692/259, 7051/812
1. What is the HCF of 9692,7051?
The HCF of 9692,7051 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 9692/259, 7051/812?
Answer: GCF of Numerators as per given numbers 9692/259, 7051/812 is
GCF of Numerators i.e. for 9692,7051 is 1
LCM of denominators i.e. for 259,812 is 30044.
Thus, GCF of Fractions is 1/30044.Finally, GCF of Fractions for 9692/259, 7051/812 is 1/30044.