GCF of 1107/402, 8567/6188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1107/402, 8567/6188 i.e 1/1243788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1107/402, 8567/6188.
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 1107/402,8567/6188?
Given fractions are 1107/402,8567/6188
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 1107/402,8567/6188, numerators are 1107,8567
Denominators are 402,6188
The GCF of 1107,8567 is 1 .
LCM of 402,6188 is 1243788.
The greatest common factor of 1107/402,8567/6188 = [GCF of 1107,8567]/[LCM of 402,6188]= 1/1243788
Therefore, the GCF of 1107/402,8567/6188 is 1/1243788.
To find the highest common factor of 1107,8567, we have to find the factors of both numbers and list the highest common factor.
The factors of 1107 are 1, 3, 9, 27, 41, 123, 369, 1107
The factors of 8567 are 1, 13, 659, 8567
The HCF of 1107,8567 is 1.
Lets's calculate GCF of 1107,8567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1107,8567 By Matching Biggest Common Factor Method
Now, list down the factors of 1107
:1,3,9,27,41,123,369,1107
Now, list down the factors of 8567
:1,13,659,8567
Greatest Common Factor
We found the factors 1107,8567 . The biggest common factor number is the GCF number.
So the greatest common factor 1107,8567 is 1.
Lets's calculate LCM of 402,6188
| 2 | 402, 6188 |
| 201, 3094 |
∴ So the LCM of the given numbers is 2 x 201 x 3094 = 1243788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1243788
Therefore, the GCF of Fractions 1107/402,8567/6188 is 1/1243788
Least Common Multiple of 402,6188 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 402,6188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,6188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,6188) x common factors =2 x 1 = 2
LCM(402,6188) = ( 402 × 6188 ) / 2
LCM(402,6188) = 2487576 / 2
LCM(402,6188) = 1243788
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FAQs on GCF of Fractions of 1107/402, 8567/6188
1. What is the HCF of 1107,8567?
The HCF of 1107,8567 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 1107/402, 8567/6188?
Answer: GCF of Numerators as per given numbers 1107/402, 8567/6188 is
GCF of Numerators i.e. for 1107,8567 is 1
LCM of denominators i.e. for 402,6188 is 1243788.
Thus, GCF of Fractions is 1/1243788.Finally, GCF of Fractions for 1107/402, 8567/6188 is 1/1243788.