GCF of 924/326, 786/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 924/326, 786/241 i.e 6/78566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/326, 786/241.
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 924/326,786/241?
Given fractions are 924/326,786/241
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 924/326,786/241, numerators are 924,786
Denominators are 326,241
The GCF of 924,786 is 6 .
LCM of 326,241 is 78566.
The greatest common factor of 924/326,786/241 = [GCF of 924,786]/[LCM of 326,241]= 6/78566
Therefore, the GCF of 924/326,786/241 is 6/78566.
To find the highest common factor of 924,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 924,786 is 6.
Lets's calculate GCF of 924,786
| 2 | 924, 786 |
| 3 | 462, 393 |
| 154, 131 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 924,786 By Matching Biggest Common Factor Method
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 924,786 . The biggest common factor number is the GCF number.
So the greatest common factor 924,786 is 6.
Lets's calculate LCM of 326,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 78566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/78566
Therefore, the GCF of Fractions 924/326,786/241 is 6/78566
Least Common Multiple of 326,241 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 326,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,241) x common factors =1 x 1 = 1
LCM(326,241) = ( 326 × 241 ) / 1
LCM(326,241) = 78566 / 1
LCM(326,241) = 78566
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 924/326, 786/241
1. What is the HCF of 924,786?
The HCF of 924,786 is 6
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 924/326, 786/241?
Answer: GCF of Numerators as per given numbers 924/326, 786/241 is
GCF of Numerators i.e. for 924,786 is 6
LCM of denominators i.e. for 326,241 is 78566.
Thus, GCF of Fractions is 6/78566.Finally, GCF of Fractions for 924/326, 786/241 is 6/78566.