GCF of 3472/506, 9060/8514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3472/506, 9060/8514 i.e 4/195822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3472/506, 9060/8514.
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 3472/506,9060/8514?
Given fractions are 3472/506,9060/8514
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 3472/506,9060/8514, numerators are 3472,9060
Denominators are 506,8514
The GCF of 3472,9060 is 4 .
LCM of 506,8514 is 195822.
The greatest common factor of 3472/506,9060/8514 = [GCF of 3472,9060]/[LCM of 506,8514]= 4/195822
Therefore, the GCF of 3472/506,9060/8514 is 4/195822.
To find the highest common factor of 3472,9060, we have to find the factors of both numbers and list the highest common factor.
The factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472
The factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060
The HCF of 3472,9060 is 4.
Lets's calculate GCF of 3472,9060
| 2 | 3472, 9060 |
| 2 | 1736, 4530 |
| 868, 2265 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3472,9060 By Matching Biggest Common Factor Method
Now, list down the factors of 3472
:1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472
Now, list down the factors of 9060
:1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060
Greatest Common Factor
We found the factors 3472,9060 . The biggest common factor number is the GCF number.
So the greatest common factor 3472,9060 is 4.
Lets's calculate LCM of 506,8514
| 2 | 506, 8514 |
| 11 | 253, 4257 |
| 23, 387 |
∴ So the LCM of the given numbers is 2 x 11 x 23 x 387 = 195822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/195822
Therefore, the GCF of Fractions 3472/506,9060/8514 is 4/195822
Least Common Multiple of 506,8514 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 506,8514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,8514) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(506,8514) x common factors =22 x 1 = 22
LCM(506,8514) = ( 506 × 8514 ) / 22
LCM(506,8514) = 4308084 / 22
LCM(506,8514) = 195822
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FAQs on GCF of Fractions of 3472/506, 9060/8514
1. What is the HCF of 3472,9060?
The HCF of 3472,9060 is 4
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 3472/506, 9060/8514?
Answer: GCF of Numerators as per given numbers 3472/506, 9060/8514 is
GCF of Numerators i.e. for 3472,9060 is 4
LCM of denominators i.e. for 506,8514 is 195822.
Thus, GCF of Fractions is 4/195822.Finally, GCF of Fractions for 3472/506, 9060/8514 is 4/195822.