GCF of 7379/244, 7923/7049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7379/244, 7923/7049 i.e 1/1719956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7379/244, 7923/7049.
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 7379/244,7923/7049?
Given fractions are 7379/244,7923/7049
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 7379/244,7923/7049, numerators are 7379,7923
Denominators are 244,7049
The GCF of 7379,7923 is 1 .
LCM of 244,7049 is 1719956.
The greatest common factor of 7379/244,7923/7049 = [GCF of 7379,7923]/[LCM of 244,7049]= 1/1719956
Therefore, the GCF of 7379/244,7923/7049 is 1/1719956.
To find the highest common factor of 7379,7923, we have to find the factors of both numbers and list the highest common factor.
The factors of 7379 are 1, 47, 157, 7379
The factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923
The HCF of 7379,7923 is 1.
Lets's calculate GCF of 7379,7923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7379,7923 By Matching Biggest Common Factor Method
Now, list down the factors of 7379
:1,47,157,7379
Now, list down the factors of 7923
:1,3,19,57,139,417,2641,7923
Greatest Common Factor
We found the factors 7379,7923 . The biggest common factor number is the GCF number.
So the greatest common factor 7379,7923 is 1.
Lets's calculate LCM of 244,7049
Given numbers has no common factors except 1. So, there LCM is their product i.e 1719956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1719956
Therefore, the GCF of Fractions 7379/244,7923/7049 is 1/1719956
Least Common Multiple of 244,7049 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 244,7049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,7049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(244,7049) x common factors =1 x 1 = 1
LCM(244,7049) = ( 244 × 7049 ) / 1
LCM(244,7049) = 1719956 / 1
LCM(244,7049) = 1719956
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FAQs on GCF of Fractions of 7379/244, 7923/7049
1. What is the HCF of 7379,7923?
The HCF of 7379,7923 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 7379/244, 7923/7049?
Answer: GCF of Numerators as per given numbers 7379/244, 7923/7049 is
GCF of Numerators i.e. for 7379,7923 is 1
LCM of denominators i.e. for 244,7049 is 1719956.
Thus, GCF of Fractions is 1/1719956.Finally, GCF of Fractions for 7379/244, 7923/7049 is 1/1719956.