GCF of 7787/978, 5163/6845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7787/978, 5163/6845 i.e 1/6694410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7787/978, 5163/6845.
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 7787/978,5163/6845?
Given fractions are 7787/978,5163/6845
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 7787/978,5163/6845, numerators are 7787,5163
Denominators are 978,6845
The GCF of 7787,5163 is 1 .
LCM of 978,6845 is 6694410.
The greatest common factor of 7787/978,5163/6845 = [GCF of 7787,5163]/[LCM of 978,6845]= 1/6694410
Therefore, the GCF of 7787/978,5163/6845 is 1/6694410.
To find the highest common factor of 7787,5163, we have to find the factors of both numbers and list the highest common factor.
The factors of 7787 are 1, 13, 599, 7787
The factors of 5163 are 1, 3, 1721, 5163
The HCF of 7787,5163 is 1.
Lets's calculate GCF of 7787,5163
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7787,5163 By Matching Biggest Common Factor Method
Now, list down the factors of 7787
:1,13,599,7787
Now, list down the factors of 5163
:1,3,1721,5163
Greatest Common Factor
We found the factors 7787,5163 . The biggest common factor number is the GCF number.
So the greatest common factor 7787,5163 is 1.
Lets's calculate LCM of 978,6845
Given numbers has no common factors except 1. So, there LCM is their product i.e 6694410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6694410
Therefore, the GCF of Fractions 7787/978,5163/6845 is 1/6694410
Least Common Multiple of 978,6845 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 978,6845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,6845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,6845) x common factors =1 x 1 = 1
LCM(978,6845) = ( 978 × 6845 ) / 1
LCM(978,6845) = 6694410 / 1
LCM(978,6845) = 6694410
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7787/978, 5163/6845
1. What is the HCF of 7787,5163?
The HCF of 7787,5163 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 7787/978, 5163/6845?
Answer: GCF of Numerators as per given numbers 7787/978, 5163/6845 is
GCF of Numerators i.e. for 7787,5163 is 1
LCM of denominators i.e. for 978,6845 is 6694410.
Thus, GCF of Fractions is 1/6694410.Finally, GCF of Fractions for 7787/978, 5163/6845 is 1/6694410.