GCF of 169/375, 8073/498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 169/375, 8073/498 i.e 13/62250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 169/375, 8073/498.
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 169/375,8073/498?
Given fractions are 169/375,8073/498
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 169/375,8073/498, numerators are 169,8073
Denominators are 375,498
The GCF of 169,8073 is 13 .
LCM of 375,498 is 62250.
The greatest common factor of 169/375,8073/498 = [GCF of 169,8073]/[LCM of 375,498]= 13/62250
Therefore, the GCF of 169/375,8073/498 is 13/62250.
To find the highest common factor of 169,8073, we have to find the factors of both numbers and list the highest common factor.
The factors of 169 are 1, 13, 169
The factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073
The HCF of 169,8073 is 13.
Lets's calculate GCF of 169,8073
| 13 | 169, 8073 |
| 13, 621 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 169,8073 By Matching Biggest Common Factor Method
Now, list down the factors of 169
:1,13,169
Now, list down the factors of 8073
:1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Greatest Common Factor
We found the factors 169,8073 . The biggest common factor number is the GCF number.
So the greatest common factor 169,8073 is 13.
Lets's calculate LCM of 375,498
| 3 | 375, 498 |
| 125, 166 |
∴ So the LCM of the given numbers is 3 x 125 x 166 = 62250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/62250
Therefore, the GCF of Fractions 169/375,8073/498 is 13/62250
Least Common Multiple of 375,498 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 375,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,498) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(375,498) x common factors =3 x 1 = 3
LCM(375,498) = ( 375 × 498 ) / 3
LCM(375,498) = 186750 / 3
LCM(375,498) = 62250
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FAQs on GCF of Fractions of 169/375, 8073/498
1. What is the HCF of 169,8073?
The HCF of 169,8073 is 13
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 169/375, 8073/498?
Answer: GCF of Numerators as per given numbers 169/375, 8073/498 is
GCF of Numerators i.e. for 169,8073 is 13
LCM of denominators i.e. for 375,498 is 62250.
Thus, GCF of Fractions is 13/62250.Finally, GCF of Fractions for 169/375, 8073/498 is 13/62250.