GCF of 3475/680, 8100/1413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3475/680, 8100/1413 i.e 25/960840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3475/680, 8100/1413.
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 3475/680,8100/1413?
Given fractions are 3475/680,8100/1413
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 3475/680,8100/1413, numerators are 3475,8100
Denominators are 680,1413
The GCF of 3475,8100 is 25 .
LCM of 680,1413 is 960840.
The greatest common factor of 3475/680,8100/1413 = [GCF of 3475,8100]/[LCM of 680,1413]= 25/960840
Therefore, the GCF of 3475/680,8100/1413 is 25/960840.
To find the highest common factor of 3475,8100, we have to find the factors of both numbers and list the highest common factor.
The factors of 3475 are 1, 5, 25, 139, 695, 3475
The factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100
The HCF of 3475,8100 is 25.
Lets's calculate GCF of 3475,8100
| 5 | 3475, 8100 |
| 5 | 695, 1620 |
| 139, 324 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 3475,8100 By Matching Biggest Common Factor Method
Now, list down the factors of 3475
:1,5,25,139,695,3475
Now, list down the factors of 8100
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100
Greatest Common Factor
We found the factors 3475,8100 . The biggest common factor number is the GCF number.
So the greatest common factor 3475,8100 is 25.
Lets's calculate LCM of 680,1413
Given numbers has no common factors except 1. So, there LCM is their product i.e 960840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/960840
Therefore, the GCF of Fractions 3475/680,8100/1413 is 25/960840
Least Common Multiple of 680,1413 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 680,1413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,1413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(680,1413) x common factors =1 x 1 = 1
LCM(680,1413) = ( 680 × 1413 ) / 1
LCM(680,1413) = 960840 / 1
LCM(680,1413) = 960840
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FAQs on GCF of Fractions of 3475/680, 8100/1413
1. What is the HCF of 3475,8100?
The HCF of 3475,8100 is 25
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 3475/680, 8100/1413?
Answer: GCF of Numerators as per given numbers 3475/680, 8100/1413 is
GCF of Numerators i.e. for 3475,8100 is 25
LCM of denominators i.e. for 680,1413 is 960840.
Thus, GCF of Fractions is 25/960840.Finally, GCF of Fractions for 3475/680, 8100/1413 is 25/960840.