GCF of 6318/305, 7690/5870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6318/305, 7690/5870 i.e 2/358070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6318/305, 7690/5870.
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 6318/305,7690/5870?
Given fractions are 6318/305,7690/5870
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 6318/305,7690/5870, numerators are 6318,7690
Denominators are 305,5870
The GCF of 6318,7690 is 2 .
LCM of 305,5870 is 358070.
The greatest common factor of 6318/305,7690/5870 = [GCF of 6318,7690]/[LCM of 305,5870]= 2/358070
Therefore, the GCF of 6318/305,7690/5870 is 2/358070.
To find the highest common factor of 6318,7690, we have to find the factors of both numbers and list the highest common factor.
The factors of 6318 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159, 6318
The factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690
The HCF of 6318,7690 is 2.
Lets's calculate GCF of 6318,7690
| 2 | 6318, 7690 |
| 3159, 3845 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6318,7690 By Matching Biggest Common Factor Method
Now, list down the factors of 6318
:1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318
Now, list down the factors of 7690
:1,2,5,10,769,1538,3845,7690
Greatest Common Factor
We found the factors 6318,7690 . The biggest common factor number is the GCF number.
So the greatest common factor 6318,7690 is 2.
Lets's calculate LCM of 305,5870
| 5 | 305, 5870 |
| 61, 1174 |
∴ So the LCM of the given numbers is 5 x 61 x 1174 = 358070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/358070
Therefore, the GCF of Fractions 6318/305,7690/5870 is 2/358070
Least Common Multiple of 305,5870 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 305,5870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,5870) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,5870) x common factors =5 x 1 = 5
LCM(305,5870) = ( 305 × 5870 ) / 5
LCM(305,5870) = 1790350 / 5
LCM(305,5870) = 358070
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FAQs on GCF of Fractions of 6318/305, 7690/5870
1. What is the HCF of 6318,7690?
The HCF of 6318,7690 is 2
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 6318/305, 7690/5870?
Answer: GCF of Numerators as per given numbers 6318/305, 7690/5870 is
GCF of Numerators i.e. for 6318,7690 is 2
LCM of denominators i.e. for 305,5870 is 358070.
Thus, GCF of Fractions is 2/358070.Finally, GCF of Fractions for 6318/305, 7690/5870 is 2/358070.