GCF of 25/18, 301/42, 210/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/18, 301/42, 210/712 i.e 1/44856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/18, 301/42, 210/712.
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 25/18,301/42,210/712?
Given fractions are 25/18,301/42,210/712
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 25/18,301/42,210/712, numerators are 25,301,210
Denominators are 18,42,712
The GCF of 25,301,210 is 1 .
LCM of 18,42,712 is 44856.
The greatest common factor of 25/18,301/42,210/712 = [GCF of 25,301,210]/[LCM of 18,42,712]= 1/44856
Therefore, the GCF of 25/18,301/42,210/712 is 1/44856.
To find the highest common factor of 25,301,210, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 301 are 1, 7, 43, 301
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 25,301,210 is 1.
Lets's calculate GCF of 25,301,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 25,301,210 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 25,301,210 . The biggest common factor number is the GCF number.
So the greatest common factor 25,301,210 is 1.
Lets's calculate LCM of 18,42,712
| 2 | 18, 42, 712 |
| 3 | 9, 21, 356 |
| 3, 7, 356 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 356 = 44856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44856
Therefore, the GCF of Fractions 25/18,301/42,210/712 is 1/44856
Least Common Multiple of 18,42,712 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 18,42,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,42,712) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(18,42,712) x common factors =2 x 6 = 12
LCM(18,42,712) = ( 18 × 42 × 712 ) / 12
LCM(18,42,712) = 538272 / 12
LCM(18,42,712) = 44856
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FAQs on GCF of Fractions of 25/18, 301/42, 210/712
1. What is the HCF of 25,301,210?
The HCF of 25,301,210 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 25/18, 301/42, 210/712?
Answer: GCF of Numerators as per given numbers 25/18, 301/42, 210/712 is
GCF of Numerators i.e. for 25,301,210 is 1
LCM of denominators i.e. for 18,42,712 is 44856.
Thus, GCF of Fractions is 1/44856.Finally, GCF of Fractions for 25/18, 301/42, 210/712 is 1/44856.