GCF of 574/92, 470/5205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 574/92, 470/5205 i.e 2/478860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/92, 470/5205.
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 574/92,470/5205?
Given fractions are 574/92,470/5205
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 574/92,470/5205, numerators are 574,470
Denominators are 92,5205
The GCF of 574,470 is 2 .
LCM of 92,5205 is 478860.
The greatest common factor of 574/92,470/5205 = [GCF of 574,470]/[LCM of 92,5205]= 2/478860
Therefore, the GCF of 574/92,470/5205 is 2/478860.
To find the highest common factor of 574,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 574,470 is 2.
Lets's calculate GCF of 574,470
| 2 | 574, 470 |
| 287, 235 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 574,470 By Matching Biggest Common Factor Method
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 574,470 . The biggest common factor number is the GCF number.
So the greatest common factor 574,470 is 2.
Lets's calculate LCM of 92,5205
Given numbers has no common factors except 1. So, there LCM is their product i.e 478860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/478860
Therefore, the GCF of Fractions 574/92,470/5205 is 2/478860
Least Common Multiple of 92,5205 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 92,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,5205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,5205) x common factors =1 x 1 = 1
LCM(92,5205) = ( 92 × 5205 ) / 1
LCM(92,5205) = 478860 / 1
LCM(92,5205) = 478860
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FAQs on GCF of Fractions of 574/92, 470/5205
1. What is the HCF of 574,470?
The HCF of 574,470 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 574/92, 470/5205?
Answer: GCF of Numerators as per given numbers 574/92, 470/5205 is
GCF of Numerators i.e. for 574,470 is 2
LCM of denominators i.e. for 92,5205 is 478860.
Thus, GCF of Fractions is 2/478860.Finally, GCF of Fractions for 574/92, 470/5205 is 2/478860.