GCF of 2204/704, 8314/859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2204/704, 8314/859 i.e 2/604736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2204/704, 8314/859.
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 2204/704,8314/859?
Given fractions are 2204/704,8314/859
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 2204/704,8314/859, numerators are 2204,8314
Denominators are 704,859
The GCF of 2204,8314 is 2 .
LCM of 704,859 is 604736.
The greatest common factor of 2204/704,8314/859 = [GCF of 2204,8314]/[LCM of 704,859]= 2/604736
Therefore, the GCF of 2204/704,8314/859 is 2/604736.
To find the highest common factor of 2204,8314, we have to find the factors of both numbers and list the highest common factor.
The factors of 2204 are 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204
The factors of 8314 are 1, 2, 4157, 8314
The HCF of 2204,8314 is 2.
Lets's calculate GCF of 2204,8314
| 2 | 2204, 8314 |
| 1102, 4157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2204,8314 By Matching Biggest Common Factor Method
Now, list down the factors of 2204
:1,2,4,19,29,38,58,76,116,551,1102,2204
Now, list down the factors of 8314
:1,2,4157,8314
Greatest Common Factor
We found the factors 2204,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 2204,8314 is 2.
Lets's calculate LCM of 704,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 604736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/604736
Therefore, the GCF of Fractions 2204/704,8314/859 is 2/604736
Least Common Multiple of 704,859 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 704,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,859) x common factors =1 x 1 = 1
LCM(704,859) = ( 704 × 859 ) / 1
LCM(704,859) = 604736 / 1
LCM(704,859) = 604736
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FAQs on GCF of Fractions of 2204/704, 8314/859
1. What is the HCF of 2204,8314?
The HCF of 2204,8314 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 2204/704, 8314/859?
Answer: GCF of Numerators as per given numbers 2204/704, 8314/859 is
GCF of Numerators i.e. for 2204,8314 is 2
LCM of denominators i.e. for 704,859 is 604736.
Thus, GCF of Fractions is 2/604736.Finally, GCF of Fractions for 2204/704, 8314/859 is 2/604736.