GCF of 6996/812, 2867/800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6996/812, 2867/800 i.e 1/162400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6996/812, 2867/800.
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 6996/812,2867/800?
Given fractions are 6996/812,2867/800
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 6996/812,2867/800, numerators are 6996,2867
Denominators are 812,800
The GCF of 6996,2867 is 1 .
LCM of 812,800 is 162400.
The greatest common factor of 6996/812,2867/800 = [GCF of 6996,2867]/[LCM of 812,800]= 1/162400
Therefore, the GCF of 6996/812,2867/800 is 1/162400.
To find the highest common factor of 6996,2867, we have to find the factors of both numbers and list the highest common factor.
The factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996
The factors of 2867 are 1, 47, 61, 2867
The HCF of 6996,2867 is 1.
Lets's calculate GCF of 6996,2867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6996,2867 By Matching Biggest Common Factor Method
Now, list down the factors of 6996
:1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996
Now, list down the factors of 2867
:1,47,61,2867
Greatest Common Factor
We found the factors 6996,2867 . The biggest common factor number is the GCF number.
So the greatest common factor 6996,2867 is 1.
Lets's calculate LCM of 812,800
| 2 | 812, 800 |
| 2 | 406, 400 |
| 203, 200 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 200 = 162400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162400
Therefore, the GCF of Fractions 6996/812,2867/800 is 1/162400
Least Common Multiple of 812,800 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 812,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,800) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(812,800) x common factors =4 x 1 = 4
LCM(812,800) = ( 812 × 800 ) / 4
LCM(812,800) = 649600 / 4
LCM(812,800) = 162400
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FAQs on GCF of Fractions of 6996/812, 2867/800
1. What is the HCF of 6996,2867?
The HCF of 6996,2867 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 6996/812, 2867/800?
Answer: GCF of Numerators as per given numbers 6996/812, 2867/800 is
GCF of Numerators i.e. for 6996,2867 is 1
LCM of denominators i.e. for 812,800 is 162400.
Thus, GCF of Fractions is 1/162400.Finally, GCF of Fractions for 6996/812, 2867/800 is 1/162400.