GCF of 3378/577, 8610/8156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3378/577, 8610/8156 i.e 6/4706012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3378/577, 8610/8156.
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 3378/577,8610/8156?
Given fractions are 3378/577,8610/8156
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 3378/577,8610/8156, numerators are 3378,8610
Denominators are 577,8156
The GCF of 3378,8610 is 6 .
LCM of 577,8156 is 4706012.
The greatest common factor of 3378/577,8610/8156 = [GCF of 3378,8610]/[LCM of 577,8156]= 6/4706012
Therefore, the GCF of 3378/577,8610/8156 is 6/4706012.
To find the highest common factor of 3378,8610, we have to find the factors of both numbers and list the highest common factor.
The factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378
The factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610
The HCF of 3378,8610 is 6.
Lets's calculate GCF of 3378,8610
| 2 | 3378, 8610 |
| 3 | 1689, 4305 |
| 563, 1435 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3378,8610 By Matching Biggest Common Factor Method
Now, list down the factors of 3378
:1,2,3,6,563,1126,1689,3378
Now, list down the factors of 8610
:1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Greatest Common Factor
We found the factors 3378,8610 . The biggest common factor number is the GCF number.
So the greatest common factor 3378,8610 is 6.
Lets's calculate LCM of 577,8156
Given numbers has no common factors except 1. So, there LCM is their product i.e 4706012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4706012
Therefore, the GCF of Fractions 3378/577,8610/8156 is 6/4706012
Least Common Multiple of 577,8156 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 577,8156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,8156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,8156) x common factors =1 x 1 = 1
LCM(577,8156) = ( 577 × 8156 ) / 1
LCM(577,8156) = 4706012 / 1
LCM(577,8156) = 4706012
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3378/577, 8610/8156
1. What is the HCF of 3378,8610?
The HCF of 3378,8610 is 6
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 3378/577, 8610/8156?
Answer: GCF of Numerators as per given numbers 3378/577, 8610/8156 is
GCF of Numerators i.e. for 3378,8610 is 6
LCM of denominators i.e. for 577,8156 is 4706012.
Thus, GCF of Fractions is 6/4706012.Finally, GCF of Fractions for 3378/577, 8610/8156 is 6/4706012.