GCF of 3886/832, 3268/373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3886/832, 3268/373 i.e 2/310336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3886/832, 3268/373.
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 3886/832,3268/373?
Given fractions are 3886/832,3268/373
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 3886/832,3268/373, numerators are 3886,3268
Denominators are 832,373
The GCF of 3886,3268 is 2 .
LCM of 832,373 is 310336.
The greatest common factor of 3886/832,3268/373 = [GCF of 3886,3268]/[LCM of 832,373]= 2/310336
Therefore, the GCF of 3886/832,3268/373 is 2/310336.
To find the highest common factor of 3886,3268, we have to find the factors of both numbers and list the highest common factor.
The factors of 3886 are 1, 2, 29, 58, 67, 134, 1943, 3886
The factors of 3268 are 1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634, 3268
The HCF of 3886,3268 is 2.
Lets's calculate GCF of 3886,3268
| 2 | 3886, 3268 |
| 1943, 1634 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3886,3268 By Matching Biggest Common Factor Method
Now, list down the factors of 3886
:1,2,29,58,67,134,1943,3886
Now, list down the factors of 3268
:1,2,4,19,38,43,76,86,172,817,1634,3268
Greatest Common Factor
We found the factors 3886,3268 . The biggest common factor number is the GCF number.
So the greatest common factor 3886,3268 is 2.
Lets's calculate LCM of 832,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 310336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/310336
Therefore, the GCF of Fractions 3886/832,3268/373 is 2/310336
Least Common Multiple of 832,373 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 832,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,373) x common factors =1 x 1 = 1
LCM(832,373) = ( 832 × 373 ) / 1
LCM(832,373) = 310336 / 1
LCM(832,373) = 310336
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FAQs on GCF of Fractions of 3886/832, 3268/373
1. What is the HCF of 3886,3268?
The HCF of 3886,3268 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 3886/832, 3268/373?
Answer: GCF of Numerators as per given numbers 3886/832, 3268/373 is
GCF of Numerators i.e. for 3886,3268 is 2
LCM of denominators i.e. for 832,373 is 310336.
Thus, GCF of Fractions is 2/310336.Finally, GCF of Fractions for 3886/832, 3268/373 is 2/310336.