GCF of 8814/892, 1808/8763
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8814/892, 1808/8763 i.e 226/7816596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8814/892, 1808/8763.
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 8814/892,1808/8763?
Given fractions are 8814/892,1808/8763
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 8814/892,1808/8763, numerators are 8814,1808
Denominators are 892,8763
The GCF of 8814,1808 is 226 .
LCM of 892,8763 is 7816596.
The greatest common factor of 8814/892,1808/8763 = [GCF of 8814,1808]/[LCM of 892,8763]= 226/7816596
Therefore, the GCF of 8814/892,1808/8763 is 226/7816596.
To find the highest common factor of 8814,1808, we have to find the factors of both numbers and list the highest common factor.
The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814
The factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808
The HCF of 8814,1808 is 226.
Lets's calculate GCF of 8814,1808
| 2 | 8814, 1808 |
| 113 | 4407, 904 |
| 39, 8 |
∴ So the GCF of the given numbers is 2 x 113 = 226
Greatest Common Factor of 8814,1808 By Matching Biggest Common Factor Method
Now, list down the factors of 8814
:1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814
Now, list down the factors of 1808
:1,2,4,8,16,113,226,452,904,1808
Greatest Common Factor
We found the factors 8814,1808 . The biggest common factor number is the GCF number.
So the greatest common factor 8814,1808 is 226.
Lets's calculate LCM of 892,8763
Given numbers has no common factors except 1. So, there LCM is their product i.e 7816596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 226/7816596
Therefore, the GCF of Fractions 8814/892,1808/8763 is 226/7816596
Least Common Multiple of 892,8763 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 892,8763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,8763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(892,8763) x common factors =1 x 1 = 1
LCM(892,8763) = ( 892 × 8763 ) / 1
LCM(892,8763) = 7816596 / 1
LCM(892,8763) = 7816596
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FAQs on GCF of Fractions of 8814/892, 1808/8763
1. What is the HCF of 8814,1808?
The HCF of 8814,1808 is 226
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 8814/892, 1808/8763?
Answer: GCF of Numerators as per given numbers 8814/892, 1808/8763 is
GCF of Numerators i.e. for 8814,1808 is 226
LCM of denominators i.e. for 892,8763 is 7816596.
Thus, GCF of Fractions is 226/7816596.Finally, GCF of Fractions for 8814/892, 1808/8763 is 226/7816596.