GCF of 250/42, 141/6460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 250/42, 141/6460 i.e 1/135660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/42, 141/6460.
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 250/42,141/6460?
Given fractions are 250/42,141/6460
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 250/42,141/6460, numerators are 250,141
Denominators are 42,6460
The GCF of 250,141 is 1 .
LCM of 42,6460 is 135660.
The greatest common factor of 250/42,141/6460 = [GCF of 250,141]/[LCM of 42,6460]= 1/135660
Therefore, the GCF of 250/42,141/6460 is 1/135660.
To find the highest common factor of 250,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The factors of 141 are 1, 3, 47, 141
The HCF of 250,141 is 1.
Lets's calculate GCF of 250,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 250,141 By Matching Biggest Common Factor Method
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 250,141 . The biggest common factor number is the GCF number.
So the greatest common factor 250,141 is 1.
Lets's calculate LCM of 42,6460
| 2 | 42, 6460 |
| 21, 3230 |
∴ So the LCM of the given numbers is 2 x 21 x 3230 = 135660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135660
Therefore, the GCF of Fractions 250/42,141/6460 is 1/135660
Least Common Multiple of 42,6460 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 42,6460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,6460) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,6460) x common factors =2 x 1 = 2
LCM(42,6460) = ( 42 × 6460 ) / 2
LCM(42,6460) = 271320 / 2
LCM(42,6460) = 135660
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FAQs on GCF of Fractions of 250/42, 141/6460
1. What is the HCF of 250,141?
The HCF of 250,141 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 250/42, 141/6460?
Answer: GCF of Numerators as per given numbers 250/42, 141/6460 is
GCF of Numerators i.e. for 250,141 is 1
LCM of denominators i.e. for 42,6460 is 135660.
Thus, GCF of Fractions is 1/135660.Finally, GCF of Fractions for 250/42, 141/6460 is 1/135660.