GCF of 8970/496, 4209/7406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8970/496, 4209/7406 i.e 69/1836688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8970/496, 4209/7406.
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 8970/496,4209/7406?
Given fractions are 8970/496,4209/7406
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 8970/496,4209/7406, numerators are 8970,4209
Denominators are 496,7406
The GCF of 8970,4209 is 69 .
LCM of 496,7406 is 1836688.
The greatest common factor of 8970/496,4209/7406 = [GCF of 8970,4209]/[LCM of 496,7406]= 69/1836688
Therefore, the GCF of 8970/496,4209/7406 is 69/1836688.
To find the highest common factor of 8970,4209, we have to find the factors of both numbers and list the highest common factor.
The factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970
The factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209
The HCF of 8970,4209 is 69.
Lets's calculate GCF of 8970,4209
| 3 | 8970, 4209 |
| 23 | 2990, 1403 |
| 130, 61 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Greatest Common Factor of 8970,4209 By Matching Biggest Common Factor Method
Now, list down the factors of 8970
:1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970
Now, list down the factors of 4209
:1,3,23,61,69,183,1403,4209
Greatest Common Factor
We found the factors 8970,4209 . The biggest common factor number is the GCF number.
So the greatest common factor 8970,4209 is 69.
Lets's calculate LCM of 496,7406
| 2 | 496, 7406 |
| 248, 3703 |
∴ So the LCM of the given numbers is 2 x 248 x 3703 = 1836688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/1836688
Therefore, the GCF of Fractions 8970/496,4209/7406 is 69/1836688
Least Common Multiple of 496,7406 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 496,7406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,7406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,7406) x common factors =2 x 1 = 2
LCM(496,7406) = ( 496 × 7406 ) / 2
LCM(496,7406) = 3673376 / 2
LCM(496,7406) = 1836688
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FAQs on GCF of Fractions of 8970/496, 4209/7406
1. What is the HCF of 8970,4209?
The HCF of 8970,4209 is 69
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 8970/496, 4209/7406?
Answer: GCF of Numerators as per given numbers 8970/496, 4209/7406 is
GCF of Numerators i.e. for 8970,4209 is 69
LCM of denominators i.e. for 496,7406 is 1836688.
Thus, GCF of Fractions is 69/1836688.Finally, GCF of Fractions for 8970/496, 4209/7406 is 69/1836688.