GCF of 6315/746, 6192/4501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6315/746, 6192/4501 i.e 3/3357746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6315/746, 6192/4501.
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 6315/746,6192/4501?
Given fractions are 6315/746,6192/4501
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 6315/746,6192/4501, numerators are 6315,6192
Denominators are 746,4501
The GCF of 6315,6192 is 3 .
LCM of 746,4501 is 3357746.
The greatest common factor of 6315/746,6192/4501 = [GCF of 6315,6192]/[LCM of 746,4501]= 3/3357746
Therefore, the GCF of 6315/746,6192/4501 is 3/3357746.
To find the highest common factor of 6315,6192, we have to find the factors of both numbers and list the highest common factor.
The factors of 6315 are 1, 3, 5, 15, 421, 1263, 2105, 6315
The factors of 6192 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 43, 48, 72, 86, 129, 144, 172, 258, 344, 387, 516, 688, 774, 1032, 1548, 2064, 3096, 6192
The HCF of 6315,6192 is 3.
Lets's calculate GCF of 6315,6192
| 3 | 6315, 6192 |
| 2105, 2064 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6315,6192 By Matching Biggest Common Factor Method
Now, list down the factors of 6315
:1,3,5,15,421,1263,2105,6315
Now, list down the factors of 6192
:1,2,3,4,6,8,9,12,16,18,24,36,43,48,72,86,129,144,172,258,344,387,516,688,774,1032,1548,2064,3096,6192
Greatest Common Factor
We found the factors 6315,6192 . The biggest common factor number is the GCF number.
So the greatest common factor 6315,6192 is 3.
Lets's calculate LCM of 746,4501
Given numbers has no common factors except 1. So, there LCM is their product i.e 3357746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3357746
Therefore, the GCF of Fractions 6315/746,6192/4501 is 3/3357746
Least Common Multiple of 746,4501 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 746,4501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,4501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,4501) x common factors =1 x 1 = 1
LCM(746,4501) = ( 746 × 4501 ) / 1
LCM(746,4501) = 3357746 / 1
LCM(746,4501) = 3357746
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FAQs on GCF of Fractions of 6315/746, 6192/4501
1. What is the HCF of 6315,6192?
The HCF of 6315,6192 is 3
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 6315/746, 6192/4501?
Answer: GCF of Numerators as per given numbers 6315/746, 6192/4501 is
GCF of Numerators i.e. for 6315,6192 is 3
LCM of denominators i.e. for 746,4501 is 3357746.
Thus, GCF of Fractions is 3/3357746.Finally, GCF of Fractions for 6315/746, 6192/4501 is 3/3357746.