GCF of 9436/139, 2451/7828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9436/139, 2451/7828 i.e 1/1088092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9436/139, 2451/7828.
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 9436/139,2451/7828?
Given fractions are 9436/139,2451/7828
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 9436/139,2451/7828, numerators are 9436,2451
Denominators are 139,7828
The GCF of 9436,2451 is 1 .
LCM of 139,7828 is 1088092.
The greatest common factor of 9436/139,2451/7828 = [GCF of 9436,2451]/[LCM of 139,7828]= 1/1088092
Therefore, the GCF of 9436/139,2451/7828 is 1/1088092.
To find the highest common factor of 9436,2451, we have to find the factors of both numbers and list the highest common factor.
The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436
The factors of 2451 are 1, 3, 19, 43, 57, 129, 817, 2451
The HCF of 9436,2451 is 1.
Lets's calculate GCF of 9436,2451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9436,2451 By Matching Biggest Common Factor Method
Now, list down the factors of 9436
:1,2,4,7,14,28,337,674,1348,2359,4718,9436
Now, list down the factors of 2451
:1,3,19,43,57,129,817,2451
Greatest Common Factor
We found the factors 9436,2451 . The biggest common factor number is the GCF number.
So the greatest common factor 9436,2451 is 1.
Lets's calculate LCM of 139,7828
Given numbers has no common factors except 1. So, there LCM is their product i.e 1088092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1088092
Therefore, the GCF of Fractions 9436/139,2451/7828 is 1/1088092
Least Common Multiple of 139,7828 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 139,7828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,7828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,7828) x common factors =1 x 1 = 1
LCM(139,7828) = ( 139 × 7828 ) / 1
LCM(139,7828) = 1088092 / 1
LCM(139,7828) = 1088092
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FAQs on GCF of Fractions of 9436/139, 2451/7828
1. What is the HCF of 9436,2451?
The HCF of 9436,2451 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 9436/139, 2451/7828?
Answer: GCF of Numerators as per given numbers 9436/139, 2451/7828 is
GCF of Numerators i.e. for 9436,2451 is 1
LCM of denominators i.e. for 139,7828 is 1088092.
Thus, GCF of Fractions is 1/1088092.Finally, GCF of Fractions for 9436/139, 2451/7828 is 1/1088092.