GCF of 2643/828, 6562/6182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2643/828, 6562/6182 i.e 1/2559348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2643/828, 6562/6182.
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 2643/828,6562/6182?
Given fractions are 2643/828,6562/6182
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 2643/828,6562/6182, numerators are 2643,6562
Denominators are 828,6182
The GCF of 2643,6562 is 1 .
LCM of 828,6182 is 2559348.
The greatest common factor of 2643/828,6562/6182 = [GCF of 2643,6562]/[LCM of 828,6182]= 1/2559348
Therefore, the GCF of 2643/828,6562/6182 is 1/2559348.
To find the highest common factor of 2643,6562, we have to find the factors of both numbers and list the highest common factor.
The factors of 2643 are 1, 3, 881, 2643
The factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562
The HCF of 2643,6562 is 1.
Lets's calculate GCF of 2643,6562
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2643,6562 By Matching Biggest Common Factor Method
Now, list down the factors of 2643
:1,3,881,2643
Now, list down the factors of 6562
:1,2,17,34,193,386,3281,6562
Greatest Common Factor
We found the factors 2643,6562 . The biggest common factor number is the GCF number.
So the greatest common factor 2643,6562 is 1.
Lets's calculate LCM of 828,6182
| 2 | 828, 6182 |
| 414, 3091 |
∴ So the LCM of the given numbers is 2 x 414 x 3091 = 2559348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2559348
Therefore, the GCF of Fractions 2643/828,6562/6182 is 1/2559348
Least Common Multiple of 828,6182 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 828,6182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,6182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(828,6182) x common factors =2 x 1 = 2
LCM(828,6182) = ( 828 × 6182 ) / 2
LCM(828,6182) = 5118696 / 2
LCM(828,6182) = 2559348
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FAQs on GCF of Fractions of 2643/828, 6562/6182
1. What is the HCF of 2643,6562?
The HCF of 2643,6562 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 2643/828, 6562/6182?
Answer: GCF of Numerators as per given numbers 2643/828, 6562/6182 is
GCF of Numerators i.e. for 2643,6562 is 1
LCM of denominators i.e. for 828,6182 is 2559348.
Thus, GCF of Fractions is 1/2559348.Finally, GCF of Fractions for 2643/828, 6562/6182 is 1/2559348.