GCF of 9649/736, 4906/1149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9649/736, 4906/1149 i.e 1/845664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9649/736, 4906/1149.
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 9649/736,4906/1149?
Given fractions are 9649/736,4906/1149
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 9649/736,4906/1149, numerators are 9649,4906
Denominators are 736,1149
The GCF of 9649,4906 is 1 .
LCM of 736,1149 is 845664.
The greatest common factor of 9649/736,4906/1149 = [GCF of 9649,4906]/[LCM of 736,1149]= 1/845664
Therefore, the GCF of 9649/736,4906/1149 is 1/845664.
To find the highest common factor of 9649,4906, we have to find the factors of both numbers and list the highest common factor.
The factors of 9649 are 1, 9649
The factors of 4906 are 1, 2, 11, 22, 223, 446, 2453, 4906
The HCF of 9649,4906 is 1.
Lets's calculate GCF of 9649,4906
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9649,4906 By Matching Biggest Common Factor Method
Now, list down the factors of 9649
:1,9649
Now, list down the factors of 4906
:1,2,11,22,223,446,2453,4906
Greatest Common Factor
We found the factors 9649,4906 . The biggest common factor number is the GCF number.
So the greatest common factor 9649,4906 is 1.
Lets's calculate LCM of 736,1149
Given numbers has no common factors except 1. So, there LCM is their product i.e 845664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/845664
Therefore, the GCF of Fractions 9649/736,4906/1149 is 1/845664
Least Common Multiple of 736,1149 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 736,1149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,1149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,1149) x common factors =1 x 1 = 1
LCM(736,1149) = ( 736 × 1149 ) / 1
LCM(736,1149) = 845664 / 1
LCM(736,1149) = 845664
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9649/736, 4906/1149
1. What is the HCF of 9649,4906?
The HCF of 9649,4906 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 9649/736, 4906/1149?
Answer: GCF of Numerators as per given numbers 9649/736, 4906/1149 is
GCF of Numerators i.e. for 9649,4906 is 1
LCM of denominators i.e. for 736,1149 is 845664.
Thus, GCF of Fractions is 1/845664.Finally, GCF of Fractions for 9649/736, 4906/1149 is 1/845664.