GCF of 9550/524, 7038/9554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9550/524, 7038/9554 i.e 2/2503148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9550/524, 7038/9554.
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 9550/524,7038/9554?
Given fractions are 9550/524,7038/9554
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 9550/524,7038/9554, numerators are 9550,7038
Denominators are 524,9554
The GCF of 9550,7038 is 2 .
LCM of 524,9554 is 2503148.
The greatest common factor of 9550/524,7038/9554 = [GCF of 9550,7038]/[LCM of 524,9554]= 2/2503148
Therefore, the GCF of 9550/524,7038/9554 is 2/2503148.
To find the highest common factor of 9550,7038, we have to find the factors of both numbers and list the highest common factor.
The factors of 9550 are 1, 2, 5, 10, 25, 50, 191, 382, 955, 1910, 4775, 9550
The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
The HCF of 9550,7038 is 2.
Lets's calculate GCF of 9550,7038
| 2 | 9550, 7038 |
| 4775, 3519 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9550,7038 By Matching Biggest Common Factor Method
Now, list down the factors of 9550
:1,2,5,10,25,50,191,382,955,1910,4775,9550
Now, list down the factors of 7038
:1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 9550,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 9550,7038 is 2.
Lets's calculate LCM of 524,9554
| 2 | 524, 9554 |
| 262, 4777 |
∴ So the LCM of the given numbers is 2 x 262 x 4777 = 2503148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2503148
Therefore, the GCF of Fractions 9550/524,7038/9554 is 2/2503148
Least Common Multiple of 524,9554 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 524,9554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,9554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,9554) x common factors =2 x 1 = 2
LCM(524,9554) = ( 524 × 9554 ) / 2
LCM(524,9554) = 5006296 / 2
LCM(524,9554) = 2503148
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FAQs on GCF of Fractions of 9550/524, 7038/9554
1. What is the HCF of 9550,7038?
The HCF of 9550,7038 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 9550/524, 7038/9554?
Answer: GCF of Numerators as per given numbers 9550/524, 7038/9554 is
GCF of Numerators i.e. for 9550,7038 is 2
LCM of denominators i.e. for 524,9554 is 2503148.
Thus, GCF of Fractions is 2/2503148.Finally, GCF of Fractions for 9550/524, 7038/9554 is 2/2503148.