GCF of 3537/432, 6150/653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3537/432, 6150/653 i.e 3/282096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3537/432, 6150/653.
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 3537/432,6150/653?
Given fractions are 3537/432,6150/653
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 3537/432,6150/653, numerators are 3537,6150
Denominators are 432,653
The GCF of 3537,6150 is 3 .
LCM of 432,653 is 282096.
The greatest common factor of 3537/432,6150/653 = [GCF of 3537,6150]/[LCM of 432,653]= 3/282096
Therefore, the GCF of 3537/432,6150/653 is 3/282096.
To find the highest common factor of 3537,6150, we have to find the factors of both numbers and list the highest common factor.
The factors of 3537 are 1, 3, 9, 27, 131, 393, 1179, 3537
The factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150
The HCF of 3537,6150 is 3.
Lets's calculate GCF of 3537,6150
| 3 | 3537, 6150 |
| 1179, 2050 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3537,6150 By Matching Biggest Common Factor Method
Now, list down the factors of 3537
:1,3,9,27,131,393,1179,3537
Now, list down the factors of 6150
:1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150
Greatest Common Factor
We found the factors 3537,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 3537,6150 is 3.
Lets's calculate LCM of 432,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 282096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/282096
Therefore, the GCF of Fractions 3537/432,6150/653 is 3/282096
Least Common Multiple of 432,653 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 432,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(432,653) x common factors =1 x 1 = 1
LCM(432,653) = ( 432 × 653 ) / 1
LCM(432,653) = 282096 / 1
LCM(432,653) = 282096
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FAQs on GCF of Fractions of 3537/432, 6150/653
1. What is the HCF of 3537,6150?
The HCF of 3537,6150 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 3537/432, 6150/653?
Answer: GCF of Numerators as per given numbers 3537/432, 6150/653 is
GCF of Numerators i.e. for 3537,6150 is 3
LCM of denominators i.e. for 432,653 is 282096.
Thus, GCF of Fractions is 3/282096.Finally, GCF of Fractions for 3537/432, 6150/653 is 3/282096.