GCF of 9731/886, 6148/514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9731/886, 6148/514 i.e 1/227702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9731/886, 6148/514.
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 9731/886,6148/514?
Given fractions are 9731/886,6148/514
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 9731/886,6148/514, numerators are 9731,6148
Denominators are 886,514
The GCF of 9731,6148 is 1 .
LCM of 886,514 is 227702.
The greatest common factor of 9731/886,6148/514 = [GCF of 9731,6148]/[LCM of 886,514]= 1/227702
Therefore, the GCF of 9731/886,6148/514 is 1/227702.
To find the highest common factor of 9731,6148, we have to find the factors of both numbers and list the highest common factor.
The factors of 9731 are 1, 37, 263, 9731
The factors of 6148 are 1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148
The HCF of 9731,6148 is 1.
Lets's calculate GCF of 9731,6148
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9731,6148 By Matching Biggest Common Factor Method
Now, list down the factors of 9731
:1,37,263,9731
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 9731,6148 . The biggest common factor number is the GCF number.
So the greatest common factor 9731,6148 is 1.
Lets's calculate LCM of 886,514
| 2 | 886, 514 |
| 443, 257 |
∴ So the LCM of the given numbers is 2 x 443 x 257 = 227702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227702
Therefore, the GCF of Fractions 9731/886,6148/514 is 1/227702
Least Common Multiple of 886,514 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 886,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,514) x common factors =2 x 1 = 2
LCM(886,514) = ( 886 × 514 ) / 2
LCM(886,514) = 455404 / 2
LCM(886,514) = 227702
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9731/886, 6148/514
1. What is the HCF of 9731,6148?
The HCF of 9731,6148 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 9731/886, 6148/514?
Answer: GCF of Numerators as per given numbers 9731/886, 6148/514 is
GCF of Numerators i.e. for 9731,6148 is 1
LCM of denominators i.e. for 886,514 is 227702.
Thus, GCF of Fractions is 1/227702.Finally, GCF of Fractions for 9731/886, 6148/514 is 1/227702.