GCF of 6443/876, 3468/2206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6443/876, 3468/2206 i.e 17/966228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6443/876, 3468/2206.
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 6443/876,3468/2206?
Given fractions are 6443/876,3468/2206
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 6443/876,3468/2206, numerators are 6443,3468
Denominators are 876,2206
The GCF of 6443,3468 is 17 .
LCM of 876,2206 is 966228.
The greatest common factor of 6443/876,3468/2206 = [GCF of 6443,3468]/[LCM of 876,2206]= 17/966228
Therefore, the GCF of 6443/876,3468/2206 is 17/966228.
To find the highest common factor of 6443,3468, we have to find the factors of both numbers and list the highest common factor.
The factors of 6443 are 1, 17, 379, 6443
The factors of 3468 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468
The HCF of 6443,3468 is 17.
Lets's calculate GCF of 6443,3468
| 17 | 6443, 3468 |
| 379, 204 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 6443,3468 By Matching Biggest Common Factor Method
Now, list down the factors of 6443
:1,17,379,6443
Now, list down the factors of 3468
:1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468
Greatest Common Factor
We found the factors 6443,3468 . The biggest common factor number is the GCF number.
So the greatest common factor 6443,3468 is 17.
Lets's calculate LCM of 876,2206
| 2 | 876, 2206 |
| 438, 1103 |
∴ So the LCM of the given numbers is 2 x 438 x 1103 = 966228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/966228
Therefore, the GCF of Fractions 6443/876,3468/2206 is 17/966228
Least Common Multiple of 876,2206 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 876,2206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,2206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(876,2206) x common factors =2 x 1 = 2
LCM(876,2206) = ( 876 × 2206 ) / 2
LCM(876,2206) = 1932456 / 2
LCM(876,2206) = 966228
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FAQs on GCF of Fractions of 6443/876, 3468/2206
1. What is the HCF of 6443,3468?
The HCF of 6443,3468 is 17
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 6443/876, 3468/2206?
Answer: GCF of Numerators as per given numbers 6443/876, 3468/2206 is
GCF of Numerators i.e. for 6443,3468 is 17
LCM of denominators i.e. for 876,2206 is 966228.
Thus, GCF of Fractions is 17/966228.Finally, GCF of Fractions for 6443/876, 3468/2206 is 17/966228.