GCF of 5054/166, 9694/4640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5054/166, 9694/4640 i.e 2/385120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5054/166, 9694/4640.
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 5054/166,9694/4640?
Given fractions are 5054/166,9694/4640
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 5054/166,9694/4640, numerators are 5054,9694
Denominators are 166,4640
The GCF of 5054,9694 is 2 .
LCM of 166,4640 is 385120.
The greatest common factor of 5054/166,9694/4640 = [GCF of 5054,9694]/[LCM of 166,4640]= 2/385120
Therefore, the GCF of 5054/166,9694/4640 is 2/385120.
To find the highest common factor of 5054,9694, we have to find the factors of both numbers and list the highest common factor.
The factors of 5054 are 1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The HCF of 5054,9694 is 2.
Lets's calculate GCF of 5054,9694
| 2 | 5054, 9694 |
| 2527, 4847 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5054,9694 By Matching Biggest Common Factor Method
Now, list down the factors of 5054
:1,2,7,14,19,38,133,266,361,722,2527,5054
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Greatest Common Factor
We found the factors 5054,9694 . The biggest common factor number is the GCF number.
So the greatest common factor 5054,9694 is 2.
Lets's calculate LCM of 166,4640
| 2 | 166, 4640 |
| 83, 2320 |
∴ So the LCM of the given numbers is 2 x 83 x 2320 = 385120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/385120
Therefore, the GCF of Fractions 5054/166,9694/4640 is 2/385120
Least Common Multiple of 166,4640 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 166,4640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,4640) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,4640) x common factors =2 x 1 = 2
LCM(166,4640) = ( 166 × 4640 ) / 2
LCM(166,4640) = 770240 / 2
LCM(166,4640) = 385120
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FAQs on GCF of Fractions of 5054/166, 9694/4640
1. What is the HCF of 5054,9694?
The HCF of 5054,9694 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 5054/166, 9694/4640?
Answer: GCF of Numerators as per given numbers 5054/166, 9694/4640 is
GCF of Numerators i.e. for 5054,9694 is 2
LCM of denominators i.e. for 166,4640 is 385120.
Thus, GCF of Fractions is 2/385120.Finally, GCF of Fractions for 5054/166, 9694/4640 is 2/385120.