GCF of 7146/255, 7038/9621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7146/255, 7038/9621 i.e 18/817785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7146/255, 7038/9621.
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 7146/255,7038/9621?
Given fractions are 7146/255,7038/9621
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 7146/255,7038/9621, numerators are 7146,7038
Denominators are 255,9621
The GCF of 7146,7038 is 18 .
LCM of 255,9621 is 817785.
The greatest common factor of 7146/255,7038/9621 = [GCF of 7146,7038]/[LCM of 255,9621]= 18/817785
Therefore, the GCF of 7146/255,7038/9621 is 18/817785.
To find the highest common factor of 7146,7038, we have to find the factors of both numbers and list the highest common factor.
The factors of 7146 are 1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146
The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
The HCF of 7146,7038 is 18.
Lets's calculate GCF of 7146,7038
| 2 | 7146, 7038 |
| 3 | 3573, 3519 |
| 3 | 1191, 1173 |
| 397, 391 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 7146,7038 By Matching Biggest Common Factor Method
Now, list down the factors of 7146
:1,2,3,6,9,18,397,794,1191,2382,3573,7146
Now, list down the factors of 7038
:1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 7146,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 7146,7038 is 18.
Lets's calculate LCM of 255,9621
| 3 | 255, 9621 |
| 85, 3207 |
∴ So the LCM of the given numbers is 3 x 85 x 3207 = 817785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/817785
Therefore, the GCF of Fractions 7146/255,7038/9621 is 18/817785
Least Common Multiple of 255,9621 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 255,9621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,9621) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(255,9621) x common factors =3 x 1 = 3
LCM(255,9621) = ( 255 × 9621 ) / 3
LCM(255,9621) = 2453355 / 3
LCM(255,9621) = 817785
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FAQs on GCF of Fractions of 7146/255, 7038/9621
1. What is the HCF of 7146,7038?
The HCF of 7146,7038 is 18
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 7146/255, 7038/9621?
Answer: GCF of Numerators as per given numbers 7146/255, 7038/9621 is
GCF of Numerators i.e. for 7146,7038 is 18
LCM of denominators i.e. for 255,9621 is 817785.
Thus, GCF of Fractions is 18/817785.Finally, GCF of Fractions for 7146/255, 7038/9621 is 18/817785.