GCF of 3068/715, 3117/8896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3068/715, 3117/8896 i.e 1/6360640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3068/715, 3117/8896.
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 3068/715,3117/8896?
Given fractions are 3068/715,3117/8896
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 3068/715,3117/8896, numerators are 3068,3117
Denominators are 715,8896
The GCF of 3068,3117 is 1 .
LCM of 715,8896 is 6360640.
The greatest common factor of 3068/715,3117/8896 = [GCF of 3068,3117]/[LCM of 715,8896]= 1/6360640
Therefore, the GCF of 3068/715,3117/8896 is 1/6360640.
To find the highest common factor of 3068,3117, we have to find the factors of both numbers and list the highest common factor.
The factors of 3068 are 1, 2, 4, 13, 26, 52, 59, 118, 236, 767, 1534, 3068
The factors of 3117 are 1, 3, 1039, 3117
The HCF of 3068,3117 is 1.
Lets's calculate GCF of 3068,3117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3068,3117 By Matching Biggest Common Factor Method
Now, list down the factors of 3068
:1,2,4,13,26,52,59,118,236,767,1534,3068
Now, list down the factors of 3117
:1,3,1039,3117
Greatest Common Factor
We found the factors 3068,3117 . The biggest common factor number is the GCF number.
So the greatest common factor 3068,3117 is 1.
Lets's calculate LCM of 715,8896
Given numbers has no common factors except 1. So, there LCM is their product i.e 6360640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6360640
Therefore, the GCF of Fractions 3068/715,3117/8896 is 1/6360640
Least Common Multiple of 715,8896 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 715,8896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,8896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,8896) x common factors =1 x 1 = 1
LCM(715,8896) = ( 715 × 8896 ) / 1
LCM(715,8896) = 6360640 / 1
LCM(715,8896) = 6360640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3068/715, 3117/8896
1. What is the HCF of 3068,3117?
The HCF of 3068,3117 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 3068/715, 3117/8896?
Answer: GCF of Numerators as per given numbers 3068/715, 3117/8896 is
GCF of Numerators i.e. for 3068,3117 is 1
LCM of denominators i.e. for 715,8896 is 6360640.
Thus, GCF of Fractions is 1/6360640.Finally, GCF of Fractions for 3068/715, 3117/8896 is 1/6360640.