GCF of 8104/138, 6319/7785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8104/138, 6319/7785 i.e 1/358110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8104/138, 6319/7785.
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 8104/138,6319/7785?
Given fractions are 8104/138,6319/7785
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 8104/138,6319/7785, numerators are 8104,6319
Denominators are 138,7785
The GCF of 8104,6319 is 1 .
LCM of 138,7785 is 358110.
The greatest common factor of 8104/138,6319/7785 = [GCF of 8104,6319]/[LCM of 138,7785]= 1/358110
Therefore, the GCF of 8104/138,6319/7785 is 1/358110.
To find the highest common factor of 8104,6319, we have to find the factors of both numbers and list the highest common factor.
The factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104
The factors of 6319 are 1, 71, 89, 6319
The HCF of 8104,6319 is 1.
Lets's calculate GCF of 8104,6319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8104,6319 By Matching Biggest Common Factor Method
Now, list down the factors of 8104
:1,2,4,8,1013,2026,4052,8104
Now, list down the factors of 6319
:1,71,89,6319
Greatest Common Factor
We found the factors 8104,6319 . The biggest common factor number is the GCF number.
So the greatest common factor 8104,6319 is 1.
Lets's calculate LCM of 138,7785
| 3 | 138, 7785 |
| 46, 2595 |
∴ So the LCM of the given numbers is 3 x 46 x 2595 = 358110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358110
Therefore, the GCF of Fractions 8104/138,6319/7785 is 1/358110
Least Common Multiple of 138,7785 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 138,7785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,7785) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(138,7785) x common factors =3 x 1 = 3
LCM(138,7785) = ( 138 × 7785 ) / 3
LCM(138,7785) = 1074330 / 3
LCM(138,7785) = 358110
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FAQs on GCF of Fractions of 8104/138, 6319/7785
1. What is the HCF of 8104,6319?
The HCF of 8104,6319 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 8104/138, 6319/7785?
Answer: GCF of Numerators as per given numbers 8104/138, 6319/7785 is
GCF of Numerators i.e. for 8104,6319 is 1
LCM of denominators i.e. for 138,7785 is 358110.
Thus, GCF of Fractions is 1/358110.Finally, GCF of Fractions for 8104/138, 6319/7785 is 1/358110.