GCF of 3588/174, 7107/6188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3588/174, 7107/6188 i.e 69/538356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3588/174, 7107/6188.
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 3588/174,7107/6188?
Given fractions are 3588/174,7107/6188
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 3588/174,7107/6188, numerators are 3588,7107
Denominators are 174,6188
The GCF of 3588,7107 is 69 .
LCM of 174,6188 is 538356.
The greatest common factor of 3588/174,7107/6188 = [GCF of 3588,7107]/[LCM of 174,6188]= 69/538356
Therefore, the GCF of 3588/174,7107/6188 is 69/538356.
To find the highest common factor of 3588,7107, we have to find the factors of both numbers and list the highest common factor.
The factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588
The factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107
The HCF of 3588,7107 is 69.
Lets's calculate GCF of 3588,7107
| 3 | 3588, 7107 |
| 23 | 1196, 2369 |
| 52, 103 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Greatest Common Factor of 3588,7107 By Matching Biggest Common Factor Method
Now, list down the factors of 3588
:1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588
Now, list down the factors of 7107
:1,3,23,69,103,309,2369,7107
Greatest Common Factor
We found the factors 3588,7107 . The biggest common factor number is the GCF number.
So the greatest common factor 3588,7107 is 69.
Lets's calculate LCM of 174,6188
| 2 | 174, 6188 |
| 87, 3094 |
∴ So the LCM of the given numbers is 2 x 87 x 3094 = 538356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/538356
Therefore, the GCF of Fractions 3588/174,7107/6188 is 69/538356
Least Common Multiple of 174,6188 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 174,6188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,6188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,6188) x common factors =2 x 1 = 2
LCM(174,6188) = ( 174 × 6188 ) / 2
LCM(174,6188) = 1076712 / 2
LCM(174,6188) = 538356
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FAQs on GCF of Fractions of 3588/174, 7107/6188
1. What is the HCF of 3588,7107?
The HCF of 3588,7107 is 69
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 3588/174, 7107/6188?
Answer: GCF of Numerators as per given numbers 3588/174, 7107/6188 is
GCF of Numerators i.e. for 3588,7107 is 69
LCM of denominators i.e. for 174,6188 is 538356.
Thus, GCF of Fractions is 69/538356.Finally, GCF of Fractions for 3588/174, 7107/6188 is 69/538356.