GCF of 6449/156, 8724/3136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6449/156, 8724/3136 i.e 1/122304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6449/156, 8724/3136.
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 6449/156,8724/3136?
Given fractions are 6449/156,8724/3136
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 6449/156,8724/3136, numerators are 6449,8724
Denominators are 156,3136
The GCF of 6449,8724 is 1 .
LCM of 156,3136 is 122304.
The greatest common factor of 6449/156,8724/3136 = [GCF of 6449,8724]/[LCM of 156,3136]= 1/122304
Therefore, the GCF of 6449/156,8724/3136 is 1/122304.
To find the highest common factor of 6449,8724, we have to find the factors of both numbers and list the highest common factor.
The factors of 6449 are 1, 6449
The factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724
The HCF of 6449,8724 is 1.
Lets's calculate GCF of 6449,8724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6449,8724 By Matching Biggest Common Factor Method
Now, list down the factors of 6449
:1,6449
Now, list down the factors of 8724
:1,2,3,4,6,12,727,1454,2181,2908,4362,8724
Greatest Common Factor
We found the factors 6449,8724 . The biggest common factor number is the GCF number.
So the greatest common factor 6449,8724 is 1.
Lets's calculate LCM of 156,3136
| 2 | 156, 3136 |
| 2 | 78, 1568 |
| 39, 784 |
∴ So the LCM of the given numbers is 2 x 2 x 39 x 784 = 122304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122304
Therefore, the GCF of Fractions 6449/156,8724/3136 is 1/122304
Least Common Multiple of 156,3136 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 156,3136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,3136) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(156,3136) x common factors =4 x 1 = 4
LCM(156,3136) = ( 156 × 3136 ) / 4
LCM(156,3136) = 489216 / 4
LCM(156,3136) = 122304
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FAQs on GCF of Fractions of 6449/156, 8724/3136
1. What is the HCF of 6449,8724?
The HCF of 6449,8724 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 6449/156, 8724/3136?
Answer: GCF of Numerators as per given numbers 6449/156, 8724/3136 is
GCF of Numerators i.e. for 6449,8724 is 1
LCM of denominators i.e. for 156,3136 is 122304.
Thus, GCF of Fractions is 1/122304.Finally, GCF of Fractions for 6449/156, 8724/3136 is 1/122304.