GCF of 6332/102, 7111/5186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6332/102, 7111/5186 i.e 1/264486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6332/102, 7111/5186.
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 6332/102,7111/5186?
Given fractions are 6332/102,7111/5186
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 6332/102,7111/5186, numerators are 6332,7111
Denominators are 102,5186
The GCF of 6332,7111 is 1 .
LCM of 102,5186 is 264486.
The greatest common factor of 6332/102,7111/5186 = [GCF of 6332,7111]/[LCM of 102,5186]= 1/264486
Therefore, the GCF of 6332/102,7111/5186 is 1/264486.
To find the highest common factor of 6332,7111, we have to find the factors of both numbers and list the highest common factor.
The factors of 6332 are 1, 2, 4, 1583, 3166, 6332
The factors of 7111 are 1, 13, 547, 7111
The HCF of 6332,7111 is 1.
Lets's calculate GCF of 6332,7111
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6332,7111 By Matching Biggest Common Factor Method
Now, list down the factors of 6332
:1,2,4,1583,3166,6332
Now, list down the factors of 7111
:1,13,547,7111
Greatest Common Factor
We found the factors 6332,7111 . The biggest common factor number is the GCF number.
So the greatest common factor 6332,7111 is 1.
Lets's calculate LCM of 102,5186
| 2 | 102, 5186 |
| 51, 2593 |
∴ So the LCM of the given numbers is 2 x 51 x 2593 = 264486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264486
Therefore, the GCF of Fractions 6332/102,7111/5186 is 1/264486
Least Common Multiple of 102,5186 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 102,5186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,5186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,5186) x common factors =2 x 1 = 2
LCM(102,5186) = ( 102 × 5186 ) / 2
LCM(102,5186) = 528972 / 2
LCM(102,5186) = 264486
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6332/102, 7111/5186
1. What is the HCF of 6332,7111?
The HCF of 6332,7111 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 6332/102, 7111/5186?
Answer: GCF of Numerators as per given numbers 6332/102, 7111/5186 is
GCF of Numerators i.e. for 6332,7111 is 1
LCM of denominators i.e. for 102,5186 is 264486.
Thus, GCF of Fractions is 1/264486.Finally, GCF of Fractions for 6332/102, 7111/5186 is 1/264486.