GCF of 6146/370, 9966/6526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6146/370, 9966/6526 i.e 2/1207310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6146/370, 9966/6526.
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 6146/370,9966/6526?
Given fractions are 6146/370,9966/6526
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 6146/370,9966/6526, numerators are 6146,9966
Denominators are 370,6526
The GCF of 6146,9966 is 2 .
LCM of 370,6526 is 1207310.
The greatest common factor of 6146/370,9966/6526 = [GCF of 6146,9966]/[LCM of 370,6526]= 2/1207310
Therefore, the GCF of 6146/370,9966/6526 is 2/1207310.
To find the highest common factor of 6146,9966, we have to find the factors of both numbers and list the highest common factor.
The factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146
The factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966
The HCF of 6146,9966 is 2.
Lets's calculate GCF of 6146,9966
| 2 | 6146, 9966 |
| 3073, 4983 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6146,9966 By Matching Biggest Common Factor Method
Now, list down the factors of 6146
:1,2,7,14,439,878,3073,6146
Now, list down the factors of 9966
:1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966
Greatest Common Factor
We found the factors 6146,9966 . The biggest common factor number is the GCF number.
So the greatest common factor 6146,9966 is 2.
Lets's calculate LCM of 370,6526
| 2 | 370, 6526 |
| 185, 3263 |
∴ So the LCM of the given numbers is 2 x 185 x 3263 = 1207310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1207310
Therefore, the GCF of Fractions 6146/370,9966/6526 is 2/1207310
Least Common Multiple of 370,6526 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 370,6526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,6526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,6526) x common factors =2 x 1 = 2
LCM(370,6526) = ( 370 × 6526 ) / 2
LCM(370,6526) = 2414620 / 2
LCM(370,6526) = 1207310
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FAQs on GCF of Fractions of 6146/370, 9966/6526
1. What is the HCF of 6146,9966?
The HCF of 6146,9966 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 6146/370, 9966/6526?
Answer: GCF of Numerators as per given numbers 6146/370, 9966/6526 is
GCF of Numerators i.e. for 6146,9966 is 2
LCM of denominators i.e. for 370,6526 is 1207310.
Thus, GCF of Fractions is 2/1207310.Finally, GCF of Fractions for 6146/370, 9966/6526 is 2/1207310.