GCF of 3167/776, 4504/8479
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3167/776, 4504/8479 i.e 1/6579704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3167/776, 4504/8479.
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 3167/776,4504/8479?
Given fractions are 3167/776,4504/8479
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 3167/776,4504/8479, numerators are 3167,4504
Denominators are 776,8479
The GCF of 3167,4504 is 1 .
LCM of 776,8479 is 6579704.
The greatest common factor of 3167/776,4504/8479 = [GCF of 3167,4504]/[LCM of 776,8479]= 1/6579704
Therefore, the GCF of 3167/776,4504/8479 is 1/6579704.
To find the highest common factor of 3167,4504, we have to find the factors of both numbers and list the highest common factor.
The factors of 3167 are 1, 3167
The factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504
The HCF of 3167,4504 is 1.
Lets's calculate GCF of 3167,4504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3167,4504 By Matching Biggest Common Factor Method
Now, list down the factors of 3167
:1,3167
Now, list down the factors of 4504
:1,2,4,8,563,1126,2252,4504
Greatest Common Factor
We found the factors 3167,4504 . The biggest common factor number is the GCF number.
So the greatest common factor 3167,4504 is 1.
Lets's calculate LCM of 776,8479
Given numbers has no common factors except 1. So, there LCM is their product i.e 6579704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6579704
Therefore, the GCF of Fractions 3167/776,4504/8479 is 1/6579704
Least Common Multiple of 776,8479 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 776,8479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,8479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,8479) x common factors =1 x 1 = 1
LCM(776,8479) = ( 776 × 8479 ) / 1
LCM(776,8479) = 6579704 / 1
LCM(776,8479) = 6579704
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3167/776, 4504/8479
1. What is the HCF of 3167,4504?
The HCF of 3167,4504 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 3167/776, 4504/8479?
Answer: GCF of Numerators as per given numbers 3167/776, 4504/8479 is
GCF of Numerators i.e. for 3167,4504 is 1
LCM of denominators i.e. for 776,8479 is 6579704.
Thus, GCF of Fractions is 1/6579704.Finally, GCF of Fractions for 3167/776, 4504/8479 is 1/6579704.