GCF of 470/279, 656/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 470/279, 656/612 i.e 2/18972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 470/279, 656/612.
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 470/279,656/612?
Given fractions are 470/279,656/612
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 470/279,656/612, numerators are 470,656
Denominators are 279,612
The GCF of 470,656 is 2 .
LCM of 279,612 is 18972.
The greatest common factor of 470/279,656/612 = [GCF of 470,656]/[LCM of 279,612]= 2/18972
Therefore, the GCF of 470/279,656/612 is 2/18972.
To find the highest common factor of 470,656, we have to find the factors of both numbers and list the highest common factor.
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The HCF of 470,656 is 2.
Lets's calculate GCF of 470,656
| 2 | 470, 656 |
| 235, 328 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 470,656 By Matching Biggest Common Factor Method
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 470,656 . The biggest common factor number is the GCF number.
So the greatest common factor 470,656 is 2.
Lets's calculate LCM of 279,612
| 3 | 279, 612 |
| 3 | 93, 204 |
| 31, 68 |
∴ So the LCM of the given numbers is 3 x 3 x 31 x 68 = 18972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18972
Therefore, the GCF of Fractions 470/279,656/612 is 2/18972
Least Common Multiple of 279,612 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 279,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,612) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(279,612) x common factors =9 x 1 = 9
LCM(279,612) = ( 279 × 612 ) / 9
LCM(279,612) = 170748 / 9
LCM(279,612) = 18972
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FAQs on GCF of Fractions of 470/279, 656/612
1. What is the HCF of 470,656?
The HCF of 470,656 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 470/279, 656/612?
Answer: GCF of Numerators as per given numbers 470/279, 656/612 is
GCF of Numerators i.e. for 470,656 is 2
LCM of denominators i.e. for 279,612 is 18972.
Thus, GCF of Fractions is 2/18972.Finally, GCF of Fractions for 470/279, 656/612 is 2/18972.