GCF of 8703/768, 2578/8825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8703/768, 2578/8825 i.e 1/6777600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8703/768, 2578/8825.
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 8703/768,2578/8825?
Given fractions are 8703/768,2578/8825
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 8703/768,2578/8825, numerators are 8703,2578
Denominators are 768,8825
The GCF of 8703,2578 is 1 .
LCM of 768,8825 is 6777600.
The greatest common factor of 8703/768,2578/8825 = [GCF of 8703,2578]/[LCM of 768,8825]= 1/6777600
Therefore, the GCF of 8703/768,2578/8825 is 1/6777600.
To find the highest common factor of 8703,2578, we have to find the factors of both numbers and list the highest common factor.
The factors of 8703 are 1, 3, 9, 967, 2901, 8703
The factors of 2578 are 1, 2, 1289, 2578
The HCF of 8703,2578 is 1.
Lets's calculate GCF of 8703,2578
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8703,2578 By Matching Biggest Common Factor Method
Now, list down the factors of 8703
:1,3,9,967,2901,8703
Now, list down the factors of 2578
:1,2,1289,2578
Greatest Common Factor
We found the factors 8703,2578 . The biggest common factor number is the GCF number.
So the greatest common factor 8703,2578 is 1.
Lets's calculate LCM of 768,8825
Given numbers has no common factors except 1. So, there LCM is their product i.e 6777600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6777600
Therefore, the GCF of Fractions 8703/768,2578/8825 is 1/6777600
Least Common Multiple of 768,8825 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 768,8825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,8825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,8825) x common factors =1 x 1 = 1
LCM(768,8825) = ( 768 × 8825 ) / 1
LCM(768,8825) = 6777600 / 1
LCM(768,8825) = 6777600
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FAQs on GCF of Fractions of 8703/768, 2578/8825
1. What is the HCF of 8703,2578?
The HCF of 8703,2578 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 8703/768, 2578/8825?
Answer: GCF of Numerators as per given numbers 8703/768, 2578/8825 is
GCF of Numerators i.e. for 8703,2578 is 1
LCM of denominators i.e. for 768,8825 is 6777600.
Thus, GCF of Fractions is 1/6777600.Finally, GCF of Fractions for 8703/768, 2578/8825 is 1/6777600.