GCF of 9954/523, 4672/6107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9954/523, 4672/6107 i.e 2/3193961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9954/523, 4672/6107.
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 9954/523,4672/6107?
Given fractions are 9954/523,4672/6107
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 9954/523,4672/6107, numerators are 9954,4672
Denominators are 523,6107
The GCF of 9954,4672 is 2 .
LCM of 523,6107 is 3193961.
The greatest common factor of 9954/523,4672/6107 = [GCF of 9954,4672]/[LCM of 523,6107]= 2/3193961
Therefore, the GCF of 9954/523,4672/6107 is 2/3193961.
To find the highest common factor of 9954,4672, we have to find the factors of both numbers and list the highest common factor.
The factors of 9954 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954
The factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672
The HCF of 9954,4672 is 2.
Lets's calculate GCF of 9954,4672
| 2 | 9954, 4672 |
| 4977, 2336 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9954,4672 By Matching Biggest Common Factor Method
Now, list down the factors of 9954
:1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954
Now, list down the factors of 4672
:1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672
Greatest Common Factor
We found the factors 9954,4672 . The biggest common factor number is the GCF number.
So the greatest common factor 9954,4672 is 2.
Lets's calculate LCM of 523,6107
Given numbers has no common factors except 1. So, there LCM is their product i.e 3193961
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3193961
Therefore, the GCF of Fractions 9954/523,4672/6107 is 2/3193961
Least Common Multiple of 523,6107 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 523,6107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,6107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,6107) x common factors =1 x 1 = 1
LCM(523,6107) = ( 523 × 6107 ) / 1
LCM(523,6107) = 3193961 / 1
LCM(523,6107) = 3193961
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9954/523, 4672/6107
1. What is the HCF of 9954,4672?
The HCF of 9954,4672 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 9954/523, 4672/6107?
Answer: GCF of Numerators as per given numbers 9954/523, 4672/6107 is
GCF of Numerators i.e. for 9954,4672 is 2
LCM of denominators i.e. for 523,6107 is 3193961.
Thus, GCF of Fractions is 2/3193961.Finally, GCF of Fractions for 9954/523, 4672/6107 is 2/3193961.