GCF of 6158/935, 3280/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6158/935, 3280/584 i.e 2/546040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6158/935, 3280/584.
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 6158/935,3280/584?
Given fractions are 6158/935,3280/584
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 6158/935,3280/584, numerators are 6158,3280
Denominators are 935,584
The GCF of 6158,3280 is 2 .
LCM of 935,584 is 546040.
The greatest common factor of 6158/935,3280/584 = [GCF of 6158,3280]/[LCM of 935,584]= 2/546040
Therefore, the GCF of 6158/935,3280/584 is 2/546040.
To find the highest common factor of 6158,3280, we have to find the factors of both numbers and list the highest common factor.
The factors of 6158 are 1, 2, 3079, 6158
The factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280
The HCF of 6158,3280 is 2.
Lets's calculate GCF of 6158,3280
| 2 | 6158, 3280 |
| 3079, 1640 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6158,3280 By Matching Biggest Common Factor Method
Now, list down the factors of 6158
:1,2,3079,6158
Now, list down the factors of 3280
:1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280
Greatest Common Factor
We found the factors 6158,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 6158,3280 is 2.
Lets's calculate LCM of 935,584
Given numbers has no common factors except 1. So, there LCM is their product i.e 546040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/546040
Therefore, the GCF of Fractions 6158/935,3280/584 is 2/546040
Least Common Multiple of 935,584 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 935,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,584) x common factors =1 x 1 = 1
LCM(935,584) = ( 935 × 584 ) / 1
LCM(935,584) = 546040 / 1
LCM(935,584) = 546040
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FAQs on GCF of Fractions of 6158/935, 3280/584
1. What is the HCF of 6158,3280?
The HCF of 6158,3280 is 2
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 6158/935, 3280/584?
Answer: GCF of Numerators as per given numbers 6158/935, 3280/584 is
GCF of Numerators i.e. for 6158,3280 is 2
LCM of denominators i.e. for 935,584 is 546040.
Thus, GCF of Fractions is 2/546040.Finally, GCF of Fractions for 6158/935, 3280/584 is 2/546040.