GCF of 6306/821, 3014/2995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6306/821, 3014/2995 i.e 2/2458895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6306/821, 3014/2995.
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 6306/821,3014/2995?
Given fractions are 6306/821,3014/2995
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 6306/821,3014/2995, numerators are 6306,3014
Denominators are 821,2995
The GCF of 6306,3014 is 2 .
LCM of 821,2995 is 2458895.
The greatest common factor of 6306/821,3014/2995 = [GCF of 6306,3014]/[LCM of 821,2995]= 2/2458895
Therefore, the GCF of 6306/821,3014/2995 is 2/2458895.
To find the highest common factor of 6306,3014, we have to find the factors of both numbers and list the highest common factor.
The factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306
The factors of 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014
The HCF of 6306,3014 is 2.
Lets's calculate GCF of 6306,3014
| 2 | 6306, 3014 |
| 3153, 1507 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6306,3014 By Matching Biggest Common Factor Method
Now, list down the factors of 6306
:1,2,3,6,1051,2102,3153,6306
Now, list down the factors of 3014
:1,2,11,22,137,274,1507,3014
Greatest Common Factor
We found the factors 6306,3014 . The biggest common factor number is the GCF number.
So the greatest common factor 6306,3014 is 2.
Lets's calculate LCM of 821,2995
Given numbers has no common factors except 1. So, there LCM is their product i.e 2458895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2458895
Therefore, the GCF of Fractions 6306/821,3014/2995 is 2/2458895
Least Common Multiple of 821,2995 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 821,2995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,2995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,2995) x common factors =1 x 1 = 1
LCM(821,2995) = ( 821 × 2995 ) / 1
LCM(821,2995) = 2458895 / 1
LCM(821,2995) = 2458895
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FAQs on GCF of Fractions of 6306/821, 3014/2995
1. What is the HCF of 6306,3014?
The HCF of 6306,3014 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 6306/821, 3014/2995?
Answer: GCF of Numerators as per given numbers 6306/821, 3014/2995 is
GCF of Numerators i.e. for 6306,3014 is 2
LCM of denominators i.e. for 821,2995 is 2458895.
Thus, GCF of Fractions is 2/2458895.Finally, GCF of Fractions for 6306/821, 3014/2995 is 2/2458895.