GCF of 6027/232, 8204/1299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6027/232, 8204/1299 i.e 7/301368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6027/232, 8204/1299.
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 6027/232,8204/1299?
Given fractions are 6027/232,8204/1299
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 6027/232,8204/1299, numerators are 6027,8204
Denominators are 232,1299
The GCF of 6027,8204 is 7 .
LCM of 232,1299 is 301368.
The greatest common factor of 6027/232,8204/1299 = [GCF of 6027,8204]/[LCM of 232,1299]= 7/301368
Therefore, the GCF of 6027/232,8204/1299 is 7/301368.
To find the highest common factor of 6027,8204, we have to find the factors of both numbers and list the highest common factor.
The factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
The factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204
The HCF of 6027,8204 is 7.
Lets's calculate GCF of 6027,8204
| 7 | 6027, 8204 |
| 861, 1172 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6027,8204 By Matching Biggest Common Factor Method
Now, list down the factors of 6027
:1,3,7,21,41,49,123,147,287,861,2009,6027
Now, list down the factors of 8204
:1,2,4,7,14,28,293,586,1172,2051,4102,8204
Greatest Common Factor
We found the factors 6027,8204 . The biggest common factor number is the GCF number.
So the greatest common factor 6027,8204 is 7.
Lets's calculate LCM of 232,1299
Given numbers has no common factors except 1. So, there LCM is their product i.e 301368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/301368
Therefore, the GCF of Fractions 6027/232,8204/1299 is 7/301368
Least Common Multiple of 232,1299 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 232,1299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,1299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,1299) x common factors =1 x 1 = 1
LCM(232,1299) = ( 232 × 1299 ) / 1
LCM(232,1299) = 301368 / 1
LCM(232,1299) = 301368
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FAQs on GCF of Fractions of 6027/232, 8204/1299
1. What is the HCF of 6027,8204?
The HCF of 6027,8204 is 7
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 6027/232, 8204/1299?
Answer: GCF of Numerators as per given numbers 6027/232, 8204/1299 is
GCF of Numerators i.e. for 6027,8204 is 7
LCM of denominators i.e. for 232,1299 is 301368.
Thus, GCF of Fractions is 7/301368.Finally, GCF of Fractions for 6027/232, 8204/1299 is 7/301368.