GCF of 835/294, 309/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 835/294, 309/222 i.e 1/10878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/294, 309/222.
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 835/294,309/222?
Given fractions are 835/294,309/222
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 835/294,309/222, numerators are 835,309
Denominators are 294,222
The GCF of 835,309 is 1 .
LCM of 294,222 is 10878.
The greatest common factor of 835/294,309/222 = [GCF of 835,309]/[LCM of 294,222]= 1/10878
Therefore, the GCF of 835/294,309/222 is 1/10878.
To find the highest common factor of 835,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 309 are 1, 3, 103, 309
The HCF of 835,309 is 1.
Lets's calculate GCF of 835,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 835,309 By Matching Biggest Common Factor Method
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 835,309 . The biggest common factor number is the GCF number.
So the greatest common factor 835,309 is 1.
Lets's calculate LCM of 294,222
| 2 | 294, 222 |
| 3 | 147, 111 |
| 49, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 49 x 37 = 10878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10878
Therefore, the GCF of Fractions 835/294,309/222 is 1/10878
Least Common Multiple of 294,222 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 294,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,222) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(294,222) x common factors =6 x 1 = 6
LCM(294,222) = ( 294 × 222 ) / 6
LCM(294,222) = 65268 / 6
LCM(294,222) = 10878
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FAQs on GCF of Fractions of 835/294, 309/222
1. What is the HCF of 835,309?
The HCF of 835,309 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 835/294, 309/222?
Answer: GCF of Numerators as per given numbers 835/294, 309/222 is
GCF of Numerators i.e. for 835,309 is 1
LCM of denominators i.e. for 294,222 is 10878.
Thus, GCF of Fractions is 1/10878.Finally, GCF of Fractions for 835/294, 309/222 is 1/10878.