GCF of 125/409, 680/140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 125/409, 680/140 i.e 5/57260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 125/409, 680/140.
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 125/409,680/140?
Given fractions are 125/409,680/140
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 125/409,680/140, numerators are 125,680
Denominators are 409,140
The GCF of 125,680 is 5 .
LCM of 409,140 is 57260.
The greatest common factor of 125/409,680/140 = [GCF of 125,680]/[LCM of 409,140]= 5/57260
Therefore, the GCF of 125/409,680/140 is 5/57260.
To find the highest common factor of 125,680, we have to find the factors of both numbers and list the highest common factor.
The factors of 125 are 1, 5, 25, 125
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The HCF of 125,680 is 5.
Lets's calculate GCF of 125,680
| 5 | 125, 680 |
| 25, 136 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 125,680 By Matching Biggest Common Factor Method
Now, list down the factors of 125
:1,5,25,125
Now, list down the factors of 680
:1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 125,680 . The biggest common factor number is the GCF number.
So the greatest common factor 125,680 is 5.
Lets's calculate LCM of 409,140
Given numbers has no common factors except 1. So, there LCM is their product i.e 57260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/57260
Therefore, the GCF of Fractions 125/409,680/140 is 5/57260
Least Common Multiple of 409,140 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 409,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,140) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,140) x common factors =1 x 1 = 1
LCM(409,140) = ( 409 × 140 ) / 1
LCM(409,140) = 57260 / 1
LCM(409,140) = 57260
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FAQs on GCF of Fractions of 125/409, 680/140
1. What is the HCF of 125,680?
The HCF of 125,680 is 5
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 125/409, 680/140?
Answer: GCF of Numerators as per given numbers 125/409, 680/140 is
GCF of Numerators i.e. for 125,680 is 5
LCM of denominators i.e. for 409,140 is 57260.
Thus, GCF of Fractions is 5/57260.Finally, GCF of Fractions for 125/409, 680/140 is 5/57260.