GCF of 7423/751, 5195/7649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7423/751, 5195/7649 i.e 1/5744399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7423/751, 5195/7649.
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 7423/751,5195/7649?
Given fractions are 7423/751,5195/7649
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 7423/751,5195/7649, numerators are 7423,5195
Denominators are 751,7649
The GCF of 7423,5195 is 1 .
LCM of 751,7649 is 5744399.
The greatest common factor of 7423/751,5195/7649 = [GCF of 7423,5195]/[LCM of 751,7649]= 1/5744399
Therefore, the GCF of 7423/751,5195/7649 is 1/5744399.
To find the highest common factor of 7423,5195, we have to find the factors of both numbers and list the highest common factor.
The factors of 7423 are 1, 13, 571, 7423
The factors of 5195 are 1, 5, 1039, 5195
The HCF of 7423,5195 is 1.
Lets's calculate GCF of 7423,5195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7423,5195 By Matching Biggest Common Factor Method
Now, list down the factors of 7423
:1,13,571,7423
Now, list down the factors of 5195
:1,5,1039,5195
Greatest Common Factor
We found the factors 7423,5195 . The biggest common factor number is the GCF number.
So the greatest common factor 7423,5195 is 1.
Lets's calculate LCM of 751,7649
Given numbers has no common factors except 1. So, there LCM is their product i.e 5744399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5744399
Therefore, the GCF of Fractions 7423/751,5195/7649 is 1/5744399
Least Common Multiple of 751,7649 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 751,7649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,7649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,7649) x common factors =1 x 1 = 1
LCM(751,7649) = ( 751 × 7649 ) / 1
LCM(751,7649) = 5744399 / 1
LCM(751,7649) = 5744399
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FAQs on GCF of Fractions of 7423/751, 5195/7649
1. What is the HCF of 7423,5195?
The HCF of 7423,5195 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 7423/751, 5195/7649?
Answer: GCF of Numerators as per given numbers 7423/751, 5195/7649 is
GCF of Numerators i.e. for 7423,5195 is 1
LCM of denominators i.e. for 751,7649 is 5744399.
Thus, GCF of Fractions is 1/5744399.Finally, GCF of Fractions for 7423/751, 5195/7649 is 1/5744399.