GCF of 4374/434, 6204/8539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4374/434, 6204/8539 i.e 6/3705926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4374/434, 6204/8539.
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 4374/434,6204/8539?
Given fractions are 4374/434,6204/8539
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 4374/434,6204/8539, numerators are 4374,6204
Denominators are 434,8539
The GCF of 4374,6204 is 6 .
LCM of 434,8539 is 3705926.
The greatest common factor of 4374/434,6204/8539 = [GCF of 4374,6204]/[LCM of 434,8539]= 6/3705926
Therefore, the GCF of 4374/434,6204/8539 is 6/3705926.
To find the highest common factor of 4374,6204, we have to find the factors of both numbers and list the highest common factor.
The factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374
The factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204
The HCF of 4374,6204 is 6.
Lets's calculate GCF of 4374,6204
| 2 | 4374, 6204 |
| 3 | 2187, 3102 |
| 729, 1034 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4374,6204 By Matching Biggest Common Factor Method
Now, list down the factors of 4374
:1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374
Now, list down the factors of 6204
:1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204
Greatest Common Factor
We found the factors 4374,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 4374,6204 is 6.
Lets's calculate LCM of 434,8539
Given numbers has no common factors except 1. So, there LCM is their product i.e 3705926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3705926
Therefore, the GCF of Fractions 4374/434,6204/8539 is 6/3705926
Least Common Multiple of 434,8539 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 434,8539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,8539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,8539) x common factors =1 x 1 = 1
LCM(434,8539) = ( 434 × 8539 ) / 1
LCM(434,8539) = 3705926 / 1
LCM(434,8539) = 3705926
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FAQs on GCF of Fractions of 4374/434, 6204/8539
1. What is the HCF of 4374,6204?
The HCF of 4374,6204 is 6
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 4374/434, 6204/8539?
Answer: GCF of Numerators as per given numbers 4374/434, 6204/8539 is
GCF of Numerators i.e. for 4374,6204 is 6
LCM of denominators i.e. for 434,8539 is 3705926.
Thus, GCF of Fractions is 6/3705926.Finally, GCF of Fractions for 4374/434, 6204/8539 is 6/3705926.