GCF of 4969/136, 1445/250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4969/136, 1445/250 i.e 1/17000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4969/136, 1445/250.
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 4969/136,1445/250?
Given fractions are 4969/136,1445/250
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 4969/136,1445/250, numerators are 4969,1445
Denominators are 136,250
The GCF of 4969,1445 is 1 .
LCM of 136,250 is 17000.
The greatest common factor of 4969/136,1445/250 = [GCF of 4969,1445]/[LCM of 136,250]= 1/17000
Therefore, the GCF of 4969/136,1445/250 is 1/17000.
To find the highest common factor of 4969,1445, we have to find the factors of both numbers and list the highest common factor.
The factors of 4969 are 1, 4969
The factors of 1445 are 1, 5, 17, 85, 289, 1445
The HCF of 4969,1445 is 1.
Lets's calculate GCF of 4969,1445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4969,1445 By Matching Biggest Common Factor Method
Now, list down the factors of 4969
:1,4969
Now, list down the factors of 1445
:1,5,17,85,289,1445
Greatest Common Factor
We found the factors 4969,1445 . The biggest common factor number is the GCF number.
So the greatest common factor 4969,1445 is 1.
Lets's calculate LCM of 136,250
| 2 | 136, 250 |
| 68, 125 |
∴ So the LCM of the given numbers is 2 x 68 x 125 = 17000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17000
Therefore, the GCF of Fractions 4969/136,1445/250 is 1/17000
Least Common Multiple of 136,250 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 136,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(136,250) x common factors =2 x 1 = 2
LCM(136,250) = ( 136 × 250 ) / 2
LCM(136,250) = 34000 / 2
LCM(136,250) = 17000
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FAQs on GCF of Fractions of 4969/136, 1445/250
1. What is the HCF of 4969,1445?
The HCF of 4969,1445 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 4969/136, 1445/250?
Answer: GCF of Numerators as per given numbers 4969/136, 1445/250 is
GCF of Numerators i.e. for 4969,1445 is 1
LCM of denominators i.e. for 136,250 is 17000.
Thus, GCF of Fractions is 1/17000.Finally, GCF of Fractions for 4969/136, 1445/250 is 1/17000.