GCF of 4682/464, 5054/948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4682/464, 5054/948 i.e 2/109968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4682/464, 5054/948.
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 4682/464,5054/948?
Given fractions are 4682/464,5054/948
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 4682/464,5054/948, numerators are 4682,5054
Denominators are 464,948
The GCF of 4682,5054 is 2 .
LCM of 464,948 is 109968.
The greatest common factor of 4682/464,5054/948 = [GCF of 4682,5054]/[LCM of 464,948]= 2/109968
Therefore, the GCF of 4682/464,5054/948 is 2/109968.
To find the highest common factor of 4682,5054, we have to find the factors of both numbers and list the highest common factor.
The factors of 4682 are 1, 2, 2341, 4682
The factors of 5054 are 1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054
The HCF of 4682,5054 is 2.
Lets's calculate GCF of 4682,5054
| 2 | 4682, 5054 |
| 2341, 2527 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4682,5054 By Matching Biggest Common Factor Method
Now, list down the factors of 4682
:1,2,2341,4682
Now, list down the factors of 5054
:1,2,7,14,19,38,133,266,361,722,2527,5054
Greatest Common Factor
We found the factors 4682,5054 . The biggest common factor number is the GCF number.
So the greatest common factor 4682,5054 is 2.
Lets's calculate LCM of 464,948
| 2 | 464, 948 |
| 2 | 232, 474 |
| 116, 237 |
∴ So the LCM of the given numbers is 2 x 2 x 116 x 237 = 109968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109968
Therefore, the GCF of Fractions 4682/464,5054/948 is 2/109968
Least Common Multiple of 464,948 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 464,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,948) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(464,948) x common factors =4 x 1 = 4
LCM(464,948) = ( 464 × 948 ) / 4
LCM(464,948) = 439872 / 4
LCM(464,948) = 109968
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FAQs on GCF of Fractions of 4682/464, 5054/948
1. What is the HCF of 4682,5054?
The HCF of 4682,5054 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 4682/464, 5054/948?
Answer: GCF of Numerators as per given numbers 4682/464, 5054/948 is
GCF of Numerators i.e. for 4682,5054 is 2
LCM of denominators i.e. for 464,948 is 109968.
Thus, GCF of Fractions is 2/109968.Finally, GCF of Fractions for 4682/464, 5054/948 is 2/109968.