GCF of 2667/316, 1142/8556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2667/316, 1142/8556 i.e 1/675924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2667/316, 1142/8556.
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 2667/316,1142/8556?
Given fractions are 2667/316,1142/8556
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 2667/316,1142/8556, numerators are 2667,1142
Denominators are 316,8556
The GCF of 2667,1142 is 1 .
LCM of 316,8556 is 675924.
The greatest common factor of 2667/316,1142/8556 = [GCF of 2667,1142]/[LCM of 316,8556]= 1/675924
Therefore, the GCF of 2667/316,1142/8556 is 1/675924.
To find the highest common factor of 2667,1142, we have to find the factors of both numbers and list the highest common factor.
The factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667
The factors of 1142 are 1, 2, 571, 1142
The HCF of 2667,1142 is 1.
Lets's calculate GCF of 2667,1142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2667,1142 By Matching Biggest Common Factor Method
Now, list down the factors of 2667
:1,3,7,21,127,381,889,2667
Now, list down the factors of 1142
:1,2,571,1142
Greatest Common Factor
We found the factors 2667,1142 . The biggest common factor number is the GCF number.
So the greatest common factor 2667,1142 is 1.
Lets's calculate LCM of 316,8556
| 2 | 316, 8556 |
| 2 | 158, 4278 |
| 79, 2139 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 2139 = 675924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675924
Therefore, the GCF of Fractions 2667/316,1142/8556 is 1/675924
Least Common Multiple of 316,8556 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 316,8556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,8556) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,8556) x common factors =4 x 1 = 4
LCM(316,8556) = ( 316 × 8556 ) / 4
LCM(316,8556) = 2703696 / 4
LCM(316,8556) = 675924
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FAQs on GCF of Fractions of 2667/316, 1142/8556
1. What is the HCF of 2667,1142?
The HCF of 2667,1142 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 2667/316, 1142/8556?
Answer: GCF of Numerators as per given numbers 2667/316, 1142/8556 is
GCF of Numerators i.e. for 2667,1142 is 1
LCM of denominators i.e. for 316,8556 is 675924.
Thus, GCF of Fractions is 1/675924.Finally, GCF of Fractions for 2667/316, 1142/8556 is 1/675924.