GCF of 6680/350, 6188/6178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6680/350, 6188/6178 i.e 4/1081150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6680/350, 6188/6178.
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 6680/350,6188/6178?
Given fractions are 6680/350,6188/6178
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 6680/350,6188/6178, numerators are 6680,6188
Denominators are 350,6178
The GCF of 6680,6188 is 4 .
LCM of 350,6178 is 1081150.
The greatest common factor of 6680/350,6188/6178 = [GCF of 6680,6188]/[LCM of 350,6178]= 4/1081150
Therefore, the GCF of 6680/350,6188/6178 is 4/1081150.
To find the highest common factor of 6680,6188, we have to find the factors of both numbers and list the highest common factor.
The factors of 6680 are 1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680
The factors of 6188 are 1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188
The HCF of 6680,6188 is 4.
Lets's calculate GCF of 6680,6188
| 2 | 6680, 6188 |
| 2 | 3340, 3094 |
| 1670, 1547 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6680,6188 By Matching Biggest Common Factor Method
Now, list down the factors of 6680
:1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680
Now, list down the factors of 6188
:1,2,4,7,13,14,17,26,28,34,52,68,91,119,182,221,238,364,442,476,884,1547,3094,6188
Greatest Common Factor
We found the factors 6680,6188 . The biggest common factor number is the GCF number.
So the greatest common factor 6680,6188 is 4.
Lets's calculate LCM of 350,6178
| 2 | 350, 6178 |
| 175, 3089 |
∴ So the LCM of the given numbers is 2 x 175 x 3089 = 1081150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1081150
Therefore, the GCF of Fractions 6680/350,6188/6178 is 4/1081150
Least Common Multiple of 350,6178 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 350,6178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,6178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(350,6178) x common factors =2 x 1 = 2
LCM(350,6178) = ( 350 × 6178 ) / 2
LCM(350,6178) = 2162300 / 2
LCM(350,6178) = 1081150
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FAQs on GCF of Fractions of 6680/350, 6188/6178
1. What is the HCF of 6680,6188?
The HCF of 6680,6188 is 4
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 6680/350, 6188/6178?
Answer: GCF of Numerators as per given numbers 6680/350, 6188/6178 is
GCF of Numerators i.e. for 6680,6188 is 4
LCM of denominators i.e. for 350,6178 is 1081150.
Thus, GCF of Fractions is 4/1081150.Finally, GCF of Fractions for 6680/350, 6188/6178 is 4/1081150.