GCF of 896/219, 854/821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 896/219, 854/821 i.e 14/179799 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/219, 854/821.
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 896/219,854/821?
Given fractions are 896/219,854/821
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 896/219,854/821, numerators are 896,854
Denominators are 219,821
The GCF of 896,854 is 14 .
LCM of 219,821 is 179799.
The greatest common factor of 896/219,854/821 = [GCF of 896,854]/[LCM of 219,821]= 14/179799
Therefore, the GCF of 896/219,854/821 is 14/179799.
To find the highest common factor of 896,854, we have to find the factors of both numbers and list the highest common factor.
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854
The HCF of 896,854 is 14.
Lets's calculate GCF of 896,854
| 2 | 896, 854 |
| 7 | 448, 427 |
| 64, 61 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 896,854 By Matching Biggest Common Factor Method
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Now, list down the factors of 854
:1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 896,854 . The biggest common factor number is the GCF number.
So the greatest common factor 896,854 is 14.
Lets's calculate LCM of 219,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 179799
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/179799
Therefore, the GCF of Fractions 896/219,854/821 is 14/179799
Least Common Multiple of 219,821 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 219,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,821) x common factors =1 x 1 = 1
LCM(219,821) = ( 219 × 821 ) / 1
LCM(219,821) = 179799 / 1
LCM(219,821) = 179799
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FAQs on GCF of Fractions of 896/219, 854/821
1. What is the HCF of 896,854?
The HCF of 896,854 is 14
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 896/219, 854/821?
Answer: GCF of Numerators as per given numbers 896/219, 854/821 is
GCF of Numerators i.e. for 896,854 is 14
LCM of denominators i.e. for 219,821 is 179799.
Thus, GCF of Fractions is 14/179799.Finally, GCF of Fractions for 896/219, 854/821 is 14/179799.