GCF of 3812/193, 8798/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3812/193, 8798/978 i.e 2/188754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3812/193, 8798/978.
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 3812/193,8798/978?
Given fractions are 3812/193,8798/978
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 3812/193,8798/978, numerators are 3812,8798
Denominators are 193,978
The GCF of 3812,8798 is 2 .
LCM of 193,978 is 188754.
The greatest common factor of 3812/193,8798/978 = [GCF of 3812,8798]/[LCM of 193,978]= 2/188754
Therefore, the GCF of 3812/193,8798/978 is 2/188754.
To find the highest common factor of 3812,8798, we have to find the factors of both numbers and list the highest common factor.
The factors of 3812 are 1, 2, 4, 953, 1906, 3812
The factors of 8798 are 1, 2, 53, 83, 106, 166, 4399, 8798
The HCF of 3812,8798 is 2.
Lets's calculate GCF of 3812,8798
| 2 | 3812, 8798 |
| 1906, 4399 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3812,8798 By Matching Biggest Common Factor Method
Now, list down the factors of 3812
:1,2,4,953,1906,3812
Now, list down the factors of 8798
:1,2,53,83,106,166,4399,8798
Greatest Common Factor
We found the factors 3812,8798 . The biggest common factor number is the GCF number.
So the greatest common factor 3812,8798 is 2.
Lets's calculate LCM of 193,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 188754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/188754
Therefore, the GCF of Fractions 3812/193,8798/978 is 2/188754
Least Common Multiple of 193,978 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 193,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,978) x common factors =1 x 1 = 1
LCM(193,978) = ( 193 × 978 ) / 1
LCM(193,978) = 188754 / 1
LCM(193,978) = 188754
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FAQs on GCF of Fractions of 3812/193, 8798/978
1. What is the HCF of 3812,8798?
The HCF of 3812,8798 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 3812/193, 8798/978?
Answer: GCF of Numerators as per given numbers 3812/193, 8798/978 is
GCF of Numerators i.e. for 3812,8798 is 2
LCM of denominators i.e. for 193,978 is 188754.
Thus, GCF of Fractions is 2/188754.Finally, GCF of Fractions for 3812/193, 8798/978 is 2/188754.