GCF of 881/546, 1840/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 881/546, 1840/728 i.e 1/2184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 881/546, 1840/728.
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 881/546,1840/728?
Given fractions are 881/546,1840/728
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 881/546,1840/728, numerators are 881,1840
Denominators are 546,728
The GCF of 881,1840 is 1 .
LCM of 546,728 is 2184.
The greatest common factor of 881/546,1840/728 = [GCF of 881,1840]/[LCM of 546,728]= 1/2184
Therefore, the GCF of 881/546,1840/728 is 1/2184.
To find the highest common factor of 881,1840, we have to find the factors of both numbers and list the highest common factor.
The factors of 881 are 1, 881
The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840
The HCF of 881,1840 is 1.
Lets's calculate GCF of 881,1840
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 881,1840 By Matching Biggest Common Factor Method
Now, list down the factors of 881
:1,881
Now, list down the factors of 1840
:1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840
Greatest Common Factor
We found the factors 881,1840 . The biggest common factor number is the GCF number.
So the greatest common factor 881,1840 is 1.
Lets's calculate LCM of 546,728
| 2 | 546, 728 |
| 7 | 273, 364 |
| 13 | 39, 52 |
| 3, 4 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 3 x 4 = 2184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2184
Therefore, the GCF of Fractions 881/546,1840/728 is 1/2184
Least Common Multiple of 546,728 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 546,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,728) = 182
common factors(in case of two or more numbers have common factors) = 1
GCF(546,728) x common factors =182 x 1 = 182
LCM(546,728) = ( 546 × 728 ) / 182
LCM(546,728) = 397488 / 182
LCM(546,728) = 2184
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FAQs on GCF of Fractions of 881/546, 1840/728
1. What is the HCF of 881,1840?
The HCF of 881,1840 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 881/546, 1840/728?
Answer: GCF of Numerators as per given numbers 881/546, 1840/728 is
GCF of Numerators i.e. for 881,1840 is 1
LCM of denominators i.e. for 546,728 is 2184.
Thus, GCF of Fractions is 1/2184.Finally, GCF of Fractions for 881/546, 1840/728 is 1/2184.