GCF of 8234/527, 1954/9803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8234/527, 1954/9803 i.e 2/5166181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8234/527, 1954/9803.
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 8234/527,1954/9803?
Given fractions are 8234/527,1954/9803
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 8234/527,1954/9803, numerators are 8234,1954
Denominators are 527,9803
The GCF of 8234,1954 is 2 .
LCM of 527,9803 is 5166181.
The greatest common factor of 8234/527,1954/9803 = [GCF of 8234,1954]/[LCM of 527,9803]= 2/5166181
Therefore, the GCF of 8234/527,1954/9803 is 2/5166181.
To find the highest common factor of 8234,1954, we have to find the factors of both numbers and list the highest common factor.
The factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234
The factors of 1954 are 1, 2, 977, 1954
The HCF of 8234,1954 is 2.
Lets's calculate GCF of 8234,1954
| 2 | 8234, 1954 |
| 4117, 977 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8234,1954 By Matching Biggest Common Factor Method
Now, list down the factors of 8234
:1,2,23,46,179,358,4117,8234
Now, list down the factors of 1954
:1,2,977,1954
Greatest Common Factor
We found the factors 8234,1954 . The biggest common factor number is the GCF number.
So the greatest common factor 8234,1954 is 2.
Lets's calculate LCM of 527,9803
Given numbers has no common factors except 1. So, there LCM is their product i.e 5166181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5166181
Therefore, the GCF of Fractions 8234/527,1954/9803 is 2/5166181
Least Common Multiple of 527,9803 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 527,9803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,9803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,9803) x common factors =1 x 1 = 1
LCM(527,9803) = ( 527 × 9803 ) / 1
LCM(527,9803) = 5166181 / 1
LCM(527,9803) = 5166181
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8234/527, 1954/9803
1. What is the HCF of 8234,1954?
The HCF of 8234,1954 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 8234/527, 1954/9803?
Answer: GCF of Numerators as per given numbers 8234/527, 1954/9803 is
GCF of Numerators i.e. for 8234,1954 is 2
LCM of denominators i.e. for 527,9803 is 5166181.
Thus, GCF of Fractions is 2/5166181.Finally, GCF of Fractions for 8234/527, 1954/9803 is 2/5166181.