GCF of 3703/236, 5612/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3703/236, 5612/542 i.e 23/63956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3703/236, 5612/542.
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 3703/236,5612/542?
Given fractions are 3703/236,5612/542
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 3703/236,5612/542, numerators are 3703,5612
Denominators are 236,542
The GCF of 3703,5612 is 23 .
LCM of 236,542 is 63956.
The greatest common factor of 3703/236,5612/542 = [GCF of 3703,5612]/[LCM of 236,542]= 23/63956
Therefore, the GCF of 3703/236,5612/542 is 23/63956.
To find the highest common factor of 3703,5612, we have to find the factors of both numbers and list the highest common factor.
The factors of 3703 are 1, 7, 23, 161, 529, 3703
The factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612
The HCF of 3703,5612 is 23.
Lets's calculate GCF of 3703,5612
| 23 | 3703, 5612 |
| 161, 244 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 3703,5612 By Matching Biggest Common Factor Method
Now, list down the factors of 3703
:1,7,23,161,529,3703
Now, list down the factors of 5612
:1,2,4,23,46,61,92,122,244,1403,2806,5612
Greatest Common Factor
We found the factors 3703,5612 . The biggest common factor number is the GCF number.
So the greatest common factor 3703,5612 is 23.
Lets's calculate LCM of 236,542
| 2 | 236, 542 |
| 118, 271 |
∴ So the LCM of the given numbers is 2 x 118 x 271 = 63956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/63956
Therefore, the GCF of Fractions 3703/236,5612/542 is 23/63956
Least Common Multiple of 236,542 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 236,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,542) x common factors =2 x 1 = 2
LCM(236,542) = ( 236 × 542 ) / 2
LCM(236,542) = 127912 / 2
LCM(236,542) = 63956
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FAQs on GCF of Fractions of 3703/236, 5612/542
1. What is the HCF of 3703,5612?
The HCF of 3703,5612 is 23
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 3703/236, 5612/542?
Answer: GCF of Numerators as per given numbers 3703/236, 5612/542 is
GCF of Numerators i.e. for 3703,5612 is 23
LCM of denominators i.e. for 236,542 is 63956.
Thus, GCF of Fractions is 23/63956.Finally, GCF of Fractions for 3703/236, 5612/542 is 23/63956.