GCF of 799/284, 207/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 799/284, 207/114 i.e 1/16188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/284, 207/114.
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 799/284,207/114?
Given fractions are 799/284,207/114
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 799/284,207/114, numerators are 799,207
Denominators are 284,114
The GCF of 799,207 is 1 .
LCM of 284,114 is 16188.
The greatest common factor of 799/284,207/114 = [GCF of 799,207]/[LCM of 284,114]= 1/16188
Therefore, the GCF of 799/284,207/114 is 1/16188.
To find the highest common factor of 799,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 799 are 1, 17, 47, 799
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 799,207 is 1.
Lets's calculate GCF of 799,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 799,207 By Matching Biggest Common Factor Method
Now, list down the factors of 799
:1,17,47,799
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 799,207 . The biggest common factor number is the GCF number.
So the greatest common factor 799,207 is 1.
Lets's calculate LCM of 284,114
| 2 | 284, 114 |
| 142, 57 |
∴ So the LCM of the given numbers is 2 x 142 x 57 = 16188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16188
Therefore, the GCF of Fractions 799/284,207/114 is 1/16188
Least Common Multiple of 284,114 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 284,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,114) x common factors =2 x 1 = 2
LCM(284,114) = ( 284 × 114 ) / 2
LCM(284,114) = 32376 / 2
LCM(284,114) = 16188
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FAQs on GCF of Fractions of 799/284, 207/114
1. What is the HCF of 799,207?
The HCF of 799,207 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 799/284, 207/114?
Answer: GCF of Numerators as per given numbers 799/284, 207/114 is
GCF of Numerators i.e. for 799,207 is 1
LCM of denominators i.e. for 284,114 is 16188.
Thus, GCF of Fractions is 1/16188.Finally, GCF of Fractions for 799/284, 207/114 is 1/16188.