GCF of 8102/188, 6609/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8102/188, 6609/378 i.e 1/35532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8102/188, 6609/378.
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 8102/188,6609/378?
Given fractions are 8102/188,6609/378
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 8102/188,6609/378, numerators are 8102,6609
Denominators are 188,378
The GCF of 8102,6609 is 1 .
LCM of 188,378 is 35532.
The greatest common factor of 8102/188,6609/378 = [GCF of 8102,6609]/[LCM of 188,378]= 1/35532
Therefore, the GCF of 8102/188,6609/378 is 1/35532.
To find the highest common factor of 8102,6609, we have to find the factors of both numbers and list the highest common factor.
The factors of 8102 are 1, 2, 4051, 8102
The factors of 6609 are 1, 3, 2203, 6609
The HCF of 8102,6609 is 1.
Lets's calculate GCF of 8102,6609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8102,6609 By Matching Biggest Common Factor Method
Now, list down the factors of 8102
:1,2,4051,8102
Now, list down the factors of 6609
:1,3,2203,6609
Greatest Common Factor
We found the factors 8102,6609 . The biggest common factor number is the GCF number.
So the greatest common factor 8102,6609 is 1.
Lets's calculate LCM of 188,378
| 2 | 188, 378 |
| 94, 189 |
∴ So the LCM of the given numbers is 2 x 94 x 189 = 35532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35532
Therefore, the GCF of Fractions 8102/188,6609/378 is 1/35532
Least Common Multiple of 188,378 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 188,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,378) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(188,378) x common factors =2 x 1 = 2
LCM(188,378) = ( 188 × 378 ) / 2
LCM(188,378) = 71064 / 2
LCM(188,378) = 35532
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FAQs on GCF of Fractions of 8102/188, 6609/378
1. What is the HCF of 8102,6609?
The HCF of 8102,6609 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 8102/188, 6609/378?
Answer: GCF of Numerators as per given numbers 8102/188, 6609/378 is
GCF of Numerators i.e. for 8102,6609 is 1
LCM of denominators i.e. for 188,378 is 35532.
Thus, GCF of Fractions is 1/35532.Finally, GCF of Fractions for 8102/188, 6609/378 is 1/35532.