GCF of 3975/200, 6148/2609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3975/200, 6148/2609 i.e 53/521800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3975/200, 6148/2609.
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 3975/200,6148/2609?
Given fractions are 3975/200,6148/2609
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 3975/200,6148/2609, numerators are 3975,6148
Denominators are 200,2609
The GCF of 3975,6148 is 53 .
LCM of 200,2609 is 521800.
The greatest common factor of 3975/200,6148/2609 = [GCF of 3975,6148]/[LCM of 200,2609]= 53/521800
Therefore, the GCF of 3975/200,6148/2609 is 53/521800.
To find the highest common factor of 3975,6148, we have to find the factors of both numbers and list the highest common factor.
The factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975
The factors of 6148 are 1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148
The HCF of 3975,6148 is 53.
Lets's calculate GCF of 3975,6148
| 53 | 3975, 6148 |
| 75, 116 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 3975,6148 By Matching Biggest Common Factor Method
Now, list down the factors of 3975
:1,3,5,15,25,53,75,159,265,795,1325,3975
Now, list down the factors of 6148
:1,2,4,29,53,58,106,116,212,1537,3074,6148
Greatest Common Factor
We found the factors 3975,6148 . The biggest common factor number is the GCF number.
So the greatest common factor 3975,6148 is 53.
Lets's calculate LCM of 200,2609
Given numbers has no common factors except 1. So, there LCM is their product i.e 521800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/521800
Therefore, the GCF of Fractions 3975/200,6148/2609 is 53/521800
Least Common Multiple of 200,2609 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 200,2609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,2609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,2609) x common factors =1 x 1 = 1
LCM(200,2609) = ( 200 × 2609 ) / 1
LCM(200,2609) = 521800 / 1
LCM(200,2609) = 521800
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FAQs on GCF of Fractions of 3975/200, 6148/2609
1. What is the HCF of 3975,6148?
The HCF of 3975,6148 is 53
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 3975/200, 6148/2609?
Answer: GCF of Numerators as per given numbers 3975/200, 6148/2609 is
GCF of Numerators i.e. for 3975,6148 is 53
LCM of denominators i.e. for 200,2609 is 521800.
Thus, GCF of Fractions is 53/521800.Finally, GCF of Fractions for 3975/200, 6148/2609 is 53/521800.