GCF of 1104/694, 8206/2864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1104/694, 8206/2864 i.e 2/993808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1104/694, 8206/2864.
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 1104/694,8206/2864?
Given fractions are 1104/694,8206/2864
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 1104/694,8206/2864, numerators are 1104,8206
Denominators are 694,2864
The GCF of 1104,8206 is 2 .
LCM of 694,2864 is 993808.
The greatest common factor of 1104/694,8206/2864 = [GCF of 1104,8206]/[LCM of 694,2864]= 2/993808
Therefore, the GCF of 1104/694,8206/2864 is 2/993808.
To find the highest common factor of 1104,8206, we have to find the factors of both numbers and list the highest common factor.
The factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104
The factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206
The HCF of 1104,8206 is 2.
Lets's calculate GCF of 1104,8206
| 2 | 1104, 8206 |
| 552, 4103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1104,8206 By Matching Biggest Common Factor Method
Now, list down the factors of 1104
:1,2,3,4,6,8,12,16,23,24,46,48,69,92,138,184,276,368,552,1104
Now, list down the factors of 8206
:1,2,11,22,373,746,4103,8206
Greatest Common Factor
We found the factors 1104,8206 . The biggest common factor number is the GCF number.
So the greatest common factor 1104,8206 is 2.
Lets's calculate LCM of 694,2864
| 2 | 694, 2864 |
| 347, 1432 |
∴ So the LCM of the given numbers is 2 x 347 x 1432 = 993808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/993808
Therefore, the GCF of Fractions 1104/694,8206/2864 is 2/993808
Least Common Multiple of 694,2864 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 694,2864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,2864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,2864) x common factors =2 x 1 = 2
LCM(694,2864) = ( 694 × 2864 ) / 2
LCM(694,2864) = 1987616 / 2
LCM(694,2864) = 993808
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FAQs on GCF of Fractions of 1104/694, 8206/2864
1. What is the HCF of 1104,8206?
The HCF of 1104,8206 is 2
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 1104/694, 8206/2864?
Answer: GCF of Numerators as per given numbers 1104/694, 8206/2864 is
GCF of Numerators i.e. for 1104,8206 is 2
LCM of denominators i.e. for 694,2864 is 993808.
Thus, GCF of Fractions is 2/993808.Finally, GCF of Fractions for 1104/694, 8206/2864 is 2/993808.