GCF of 3125/415, 2100/726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3125/415, 2100/726 i.e 25/301290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3125/415, 2100/726.
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 3125/415,2100/726?
Given fractions are 3125/415,2100/726
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 3125/415,2100/726, numerators are 3125,2100
Denominators are 415,726
The GCF of 3125,2100 is 25 .
LCM of 415,726 is 301290.
The greatest common factor of 3125/415,2100/726 = [GCF of 3125,2100]/[LCM of 415,726]= 25/301290
Therefore, the GCF of 3125/415,2100/726 is 25/301290.
To find the highest common factor of 3125,2100, we have to find the factors of both numbers and list the highest common factor.
The factors of 3125 are 1, 5, 25, 125, 625, 3125
The factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100
The HCF of 3125,2100 is 25.
Lets's calculate GCF of 3125,2100
| 5 | 3125, 2100 |
| 5 | 625, 420 |
| 125, 84 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 3125,2100 By Matching Biggest Common Factor Method
Now, list down the factors of 3125
:1,5,25,125,625,3125
Now, list down the factors of 2100
:1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100
Greatest Common Factor
We found the factors 3125,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 3125,2100 is 25.
Lets's calculate LCM of 415,726
Given numbers has no common factors except 1. So, there LCM is their product i.e 301290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/301290
Therefore, the GCF of Fractions 3125/415,2100/726 is 25/301290
Least Common Multiple of 415,726 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 415,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,726) x common factors =1 x 1 = 1
LCM(415,726) = ( 415 × 726 ) / 1
LCM(415,726) = 301290 / 1
LCM(415,726) = 301290
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FAQs on GCF of Fractions of 3125/415, 2100/726
1. What is the HCF of 3125,2100?
The HCF of 3125,2100 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 3125/415, 2100/726?
Answer: GCF of Numerators as per given numbers 3125/415, 2100/726 is
GCF of Numerators i.e. for 3125,2100 is 25
LCM of denominators i.e. for 415,726 is 301290.
Thus, GCF of Fractions is 25/301290.Finally, GCF of Fractions for 3125/415, 2100/726 is 25/301290.