GCF of 1563/880, 2879/454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1563/880, 2879/454 i.e 1/199760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1563/880, 2879/454.
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 1563/880,2879/454?
Given fractions are 1563/880,2879/454
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 1563/880,2879/454, numerators are 1563,2879
Denominators are 880,454
The GCF of 1563,2879 is 1 .
LCM of 880,454 is 199760.
The greatest common factor of 1563/880,2879/454 = [GCF of 1563,2879]/[LCM of 880,454]= 1/199760
Therefore, the GCF of 1563/880,2879/454 is 1/199760.
To find the highest common factor of 1563,2879, we have to find the factors of both numbers and list the highest common factor.
The factors of 1563 are 1, 3, 521, 1563
The factors of 2879 are 1, 2879
The HCF of 1563,2879 is 1.
Lets's calculate GCF of 1563,2879
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1563,2879 By Matching Biggest Common Factor Method
Now, list down the factors of 1563
:1,3,521,1563
Now, list down the factors of 2879
:1,2879
Greatest Common Factor
We found the factors 1563,2879 . The biggest common factor number is the GCF number.
So the greatest common factor 1563,2879 is 1.
Lets's calculate LCM of 880,454
| 2 | 880, 454 |
| 440, 227 |
∴ So the LCM of the given numbers is 2 x 440 x 227 = 199760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199760
Therefore, the GCF of Fractions 1563/880,2879/454 is 1/199760
Least Common Multiple of 880,454 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 880,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(880,454) x common factors =2 x 1 = 2
LCM(880,454) = ( 880 × 454 ) / 2
LCM(880,454) = 399520 / 2
LCM(880,454) = 199760
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FAQs on GCF of Fractions of 1563/880, 2879/454
1. What is the HCF of 1563,2879?
The HCF of 1563,2879 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 1563/880, 2879/454?
Answer: GCF of Numerators as per given numbers 1563/880, 2879/454 is
GCF of Numerators i.e. for 1563,2879 is 1
LCM of denominators i.e. for 880,454 is 199760.
Thus, GCF of Fractions is 1/199760.Finally, GCF of Fractions for 1563/880, 2879/454 is 1/199760.