GCF of 796/673, 850/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 796/673, 850/228 i.e 2/153444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/673, 850/228.
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 796/673,850/228?
Given fractions are 796/673,850/228
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 796/673,850/228, numerators are 796,850
Denominators are 673,228
The GCF of 796,850 is 2 .
LCM of 673,228 is 153444.
The greatest common factor of 796/673,850/228 = [GCF of 796,850]/[LCM of 673,228]= 2/153444
Therefore, the GCF of 796/673,850/228 is 2/153444.
To find the highest common factor of 796,850, we have to find the factors of both numbers and list the highest common factor.
The factors of 796 are 1, 2, 4, 199, 398, 796
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The HCF of 796,850 is 2.
Lets's calculate GCF of 796,850
| 2 | 796, 850 |
| 398, 425 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 796,850 By Matching Biggest Common Factor Method
Now, list down the factors of 796
:1,2,4,199,398,796
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 796,850 . The biggest common factor number is the GCF number.
So the greatest common factor 796,850 is 2.
Lets's calculate LCM of 673,228
Given numbers has no common factors except 1. So, there LCM is their product i.e 153444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153444
Therefore, the GCF of Fractions 796/673,850/228 is 2/153444
Least Common Multiple of 673,228 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 673,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,228) x common factors =1 x 1 = 1
LCM(673,228) = ( 673 × 228 ) / 1
LCM(673,228) = 153444 / 1
LCM(673,228) = 153444
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 796/673, 850/228
1. What is the HCF of 796,850?
The HCF of 796,850 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 796/673, 850/228?
Answer: GCF of Numerators as per given numbers 796/673, 850/228 is
GCF of Numerators i.e. for 796,850 is 2
LCM of denominators i.e. for 673,228 is 153444.
Thus, GCF of Fractions is 2/153444.Finally, GCF of Fractions for 796/673, 850/228 is 2/153444.