GCF of 3525/137, 8958/1850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3525/137, 8958/1850 i.e 3/253450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3525/137, 8958/1850.
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 3525/137,8958/1850?
Given fractions are 3525/137,8958/1850
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 3525/137,8958/1850, numerators are 3525,8958
Denominators are 137,1850
The GCF of 3525,8958 is 3 .
LCM of 137,1850 is 253450.
The greatest common factor of 3525/137,8958/1850 = [GCF of 3525,8958]/[LCM of 137,1850]= 3/253450
Therefore, the GCF of 3525/137,8958/1850 is 3/253450.
To find the highest common factor of 3525,8958, we have to find the factors of both numbers and list the highest common factor.
The factors of 3525 are 1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525
The factors of 8958 are 1, 2, 3, 6, 1493, 2986, 4479, 8958
The HCF of 3525,8958 is 3.
Lets's calculate GCF of 3525,8958
| 3 | 3525, 8958 |
| 1175, 2986 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3525,8958 By Matching Biggest Common Factor Method
Now, list down the factors of 3525
:1,3,5,15,25,47,75,141,235,705,1175,3525
Now, list down the factors of 8958
:1,2,3,6,1493,2986,4479,8958
Greatest Common Factor
We found the factors 3525,8958 . The biggest common factor number is the GCF number.
So the greatest common factor 3525,8958 is 3.
Lets's calculate LCM of 137,1850
Given numbers has no common factors except 1. So, there LCM is their product i.e 253450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/253450
Therefore, the GCF of Fractions 3525/137,8958/1850 is 3/253450
Least Common Multiple of 137,1850 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 137,1850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,1850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,1850) x common factors =1 x 1 = 1
LCM(137,1850) = ( 137 × 1850 ) / 1
LCM(137,1850) = 253450 / 1
LCM(137,1850) = 253450
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FAQs on GCF of Fractions of 3525/137, 8958/1850
1. What is the HCF of 3525,8958?
The HCF of 3525,8958 is 3
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 3525/137, 8958/1850?
Answer: GCF of Numerators as per given numbers 3525/137, 8958/1850 is
GCF of Numerators i.e. for 3525,8958 is 3
LCM of denominators i.e. for 137,1850 is 253450.
Thus, GCF of Fractions is 3/253450.Finally, GCF of Fractions for 3525/137, 8958/1850 is 3/253450.