GCF of 1269/510, 9602/8234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1269/510, 9602/8234 i.e 1/2099670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1269/510, 9602/8234.
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 1269/510,9602/8234?
Given fractions are 1269/510,9602/8234
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 1269/510,9602/8234, numerators are 1269,9602
Denominators are 510,8234
The GCF of 1269,9602 is 1 .
LCM of 510,8234 is 2099670.
The greatest common factor of 1269/510,9602/8234 = [GCF of 1269,9602]/[LCM of 510,8234]= 1/2099670
Therefore, the GCF of 1269/510,9602/8234 is 1/2099670.
To find the highest common factor of 1269,9602, we have to find the factors of both numbers and list the highest common factor.
The factors of 1269 are 1, 3, 9, 27, 47, 141, 423, 1269
The factors of 9602 are 1, 2, 4801, 9602
The HCF of 1269,9602 is 1.
Lets's calculate GCF of 1269,9602
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1269,9602 By Matching Biggest Common Factor Method
Now, list down the factors of 1269
:1,3,9,27,47,141,423,1269
Now, list down the factors of 9602
:1,2,4801,9602
Greatest Common Factor
We found the factors 1269,9602 . The biggest common factor number is the GCF number.
So the greatest common factor 1269,9602 is 1.
Lets's calculate LCM of 510,8234
| 2 | 510, 8234 |
| 255, 4117 |
∴ So the LCM of the given numbers is 2 x 255 x 4117 = 2099670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2099670
Therefore, the GCF of Fractions 1269/510,9602/8234 is 1/2099670
Least Common Multiple of 510,8234 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 510,8234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,8234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,8234) x common factors =2 x 1 = 2
LCM(510,8234) = ( 510 × 8234 ) / 2
LCM(510,8234) = 4199340 / 2
LCM(510,8234) = 2099670
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FAQs on GCF of Fractions of 1269/510, 9602/8234
1. What is the HCF of 1269,9602?
The HCF of 1269,9602 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 1269/510, 9602/8234?
Answer: GCF of Numerators as per given numbers 1269/510, 9602/8234 is
GCF of Numerators i.e. for 1269,9602 is 1
LCM of denominators i.e. for 510,8234 is 2099670.
Thus, GCF of Fractions is 1/2099670.Finally, GCF of Fractions for 1269/510, 9602/8234 is 1/2099670.