GCF of 3746/213, 9712/703
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3746/213, 9712/703 i.e 2/149739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3746/213, 9712/703.
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 3746/213,9712/703?
Given fractions are 3746/213,9712/703
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 3746/213,9712/703, numerators are 3746,9712
Denominators are 213,703
The GCF of 3746,9712 is 2 .
LCM of 213,703 is 149739.
The greatest common factor of 3746/213,9712/703 = [GCF of 3746,9712]/[LCM of 213,703]= 2/149739
Therefore, the GCF of 3746/213,9712/703 is 2/149739.
To find the highest common factor of 3746,9712, we have to find the factors of both numbers and list the highest common factor.
The factors of 3746 are 1, 2, 1873, 3746
The factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712
The HCF of 3746,9712 is 2.
Lets's calculate GCF of 3746,9712
| 2 | 3746, 9712 |
| 1873, 4856 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3746,9712 By Matching Biggest Common Factor Method
Now, list down the factors of 3746
:1,2,1873,3746
Now, list down the factors of 9712
:1,2,4,8,16,607,1214,2428,4856,9712
Greatest Common Factor
We found the factors 3746,9712 . The biggest common factor number is the GCF number.
So the greatest common factor 3746,9712 is 2.
Lets's calculate LCM of 213,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 149739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149739
Therefore, the GCF of Fractions 3746/213,9712/703 is 2/149739
Least Common Multiple of 213,703 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 213,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,703) x common factors =1 x 1 = 1
LCM(213,703) = ( 213 × 703 ) / 1
LCM(213,703) = 149739 / 1
LCM(213,703) = 149739
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FAQs on GCF of Fractions of 3746/213, 9712/703
1. What is the HCF of 3746,9712?
The HCF of 3746,9712 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 3746/213, 9712/703?
Answer: GCF of Numerators as per given numbers 3746/213, 9712/703 is
GCF of Numerators i.e. for 3746,9712 is 2
LCM of denominators i.e. for 213,703 is 149739.
Thus, GCF of Fractions is 2/149739.Finally, GCF of Fractions for 3746/213, 9712/703 is 2/149739.