GCF of 5170/474, 9495/3534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5170/474, 9495/3534 i.e 5/279186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5170/474, 9495/3534.
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 5170/474,9495/3534?
Given fractions are 5170/474,9495/3534
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 5170/474,9495/3534, numerators are 5170,9495
Denominators are 474,3534
The GCF of 5170,9495 is 5 .
LCM of 474,3534 is 279186.
The greatest common factor of 5170/474,9495/3534 = [GCF of 5170,9495]/[LCM of 474,3534]= 5/279186
Therefore, the GCF of 5170/474,9495/3534 is 5/279186.
To find the highest common factor of 5170,9495, we have to find the factors of both numbers and list the highest common factor.
The factors of 5170 are 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170
The factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495
The HCF of 5170,9495 is 5.
Lets's calculate GCF of 5170,9495
| 5 | 5170, 9495 |
| 1034, 1899 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5170,9495 By Matching Biggest Common Factor Method
Now, list down the factors of 5170
:1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170
Now, list down the factors of 9495
:1,3,5,9,15,45,211,633,1055,1899,3165,9495
Greatest Common Factor
We found the factors 5170,9495 . The biggest common factor number is the GCF number.
So the greatest common factor 5170,9495 is 5.
Lets's calculate LCM of 474,3534
| 2 | 474, 3534 |
| 3 | 237, 1767 |
| 79, 589 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 589 = 279186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/279186
Therefore, the GCF of Fractions 5170/474,9495/3534 is 5/279186
Least Common Multiple of 474,3534 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 474,3534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,3534) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(474,3534) x common factors =6 x 1 = 6
LCM(474,3534) = ( 474 × 3534 ) / 6
LCM(474,3534) = 1675116 / 6
LCM(474,3534) = 279186
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FAQs on GCF of Fractions of 5170/474, 9495/3534
1. What is the HCF of 5170,9495?
The HCF of 5170,9495 is 5
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 5170/474, 9495/3534?
Answer: GCF of Numerators as per given numbers 5170/474, 9495/3534 is
GCF of Numerators i.e. for 5170,9495 is 5
LCM of denominators i.e. for 474,3534 is 279186.
Thus, GCF of Fractions is 5/279186.Finally, GCF of Fractions for 5170/474, 9495/3534 is 5/279186.