GCF of 8126/678, 5301/615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8126/678, 5301/615 i.e 1/138990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8126/678, 5301/615.
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 8126/678,5301/615?
Given fractions are 8126/678,5301/615
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 8126/678,5301/615, numerators are 8126,5301
Denominators are 678,615
The GCF of 8126,5301 is 1 .
LCM of 678,615 is 138990.
The greatest common factor of 8126/678,5301/615 = [GCF of 8126,5301]/[LCM of 678,615]= 1/138990
Therefore, the GCF of 8126/678,5301/615 is 1/138990.
To find the highest common factor of 8126,5301, we have to find the factors of both numbers and list the highest common factor.
The factors of 8126 are 1, 2, 17, 34, 239, 478, 4063, 8126
The factors of 5301 are 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301
The HCF of 8126,5301 is 1.
Lets's calculate GCF of 8126,5301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8126,5301 By Matching Biggest Common Factor Method
Now, list down the factors of 8126
:1,2,17,34,239,478,4063,8126
Now, list down the factors of 5301
:1,3,9,19,31,57,93,171,279,589,1767,5301
Greatest Common Factor
We found the factors 8126,5301 . The biggest common factor number is the GCF number.
So the greatest common factor 8126,5301 is 1.
Lets's calculate LCM of 678,615
| 3 | 678, 615 |
| 226, 205 |
∴ So the LCM of the given numbers is 3 x 226 x 205 = 138990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138990
Therefore, the GCF of Fractions 8126/678,5301/615 is 1/138990
Least Common Multiple of 678,615 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 678,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,615) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(678,615) x common factors =3 x 1 = 3
LCM(678,615) = ( 678 × 615 ) / 3
LCM(678,615) = 416970 / 3
LCM(678,615) = 138990
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FAQs on GCF of Fractions of 8126/678, 5301/615
1. What is the HCF of 8126,5301?
The HCF of 8126,5301 is 1
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 8126/678, 5301/615?
Answer: GCF of Numerators as per given numbers 8126/678, 5301/615 is
GCF of Numerators i.e. for 8126,5301 is 1
LCM of denominators i.e. for 678,615 is 138990.
Thus, GCF of Fractions is 1/138990.Finally, GCF of Fractions for 8126/678, 5301/615 is 1/138990.