GCF of 7239/978, 8845/1357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7239/978, 8845/1357 i.e 1/1327146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7239/978, 8845/1357.
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 7239/978,8845/1357?
Given fractions are 7239/978,8845/1357
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 7239/978,8845/1357, numerators are 7239,8845
Denominators are 978,1357
The GCF of 7239,8845 is 1 .
LCM of 978,1357 is 1327146.
The greatest common factor of 7239/978,8845/1357 = [GCF of 7239,8845]/[LCM of 978,1357]= 1/1327146
Therefore, the GCF of 7239/978,8845/1357 is 1/1327146.
To find the highest common factor of 7239,8845, we have to find the factors of both numbers and list the highest common factor.
The factors of 7239 are 1, 3, 19, 57, 127, 381, 2413, 7239
The factors of 8845 are 1, 5, 29, 61, 145, 305, 1769, 8845
The HCF of 7239,8845 is 1.
Lets's calculate GCF of 7239,8845
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7239,8845 By Matching Biggest Common Factor Method
Now, list down the factors of 7239
:1,3,19,57,127,381,2413,7239
Now, list down the factors of 8845
:1,5,29,61,145,305,1769,8845
Greatest Common Factor
We found the factors 7239,8845 . The biggest common factor number is the GCF number.
So the greatest common factor 7239,8845 is 1.
Lets's calculate LCM of 978,1357
Given numbers has no common factors except 1. So, there LCM is their product i.e 1327146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1327146
Therefore, the GCF of Fractions 7239/978,8845/1357 is 1/1327146
Least Common Multiple of 978,1357 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 978,1357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,1357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,1357) x common factors =1 x 1 = 1
LCM(978,1357) = ( 978 × 1357 ) / 1
LCM(978,1357) = 1327146 / 1
LCM(978,1357) = 1327146
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7239/978, 8845/1357
1. What is the HCF of 7239,8845?
The HCF of 7239,8845 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 7239/978, 8845/1357?
Answer: GCF of Numerators as per given numbers 7239/978, 8845/1357 is
GCF of Numerators i.e. for 7239,8845 is 1
LCM of denominators i.e. for 978,1357 is 1327146.
Thus, GCF of Fractions is 1/1327146.Finally, GCF of Fractions for 7239/978, 8845/1357 is 1/1327146.