GCF of 3735/226, 1416/766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3735/226, 1416/766 i.e 3/86558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3735/226, 1416/766.
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 3735/226,1416/766?
Given fractions are 3735/226,1416/766
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 3735/226,1416/766, numerators are 3735,1416
Denominators are 226,766
The GCF of 3735,1416 is 3 .
LCM of 226,766 is 86558.
The greatest common factor of 3735/226,1416/766 = [GCF of 3735,1416]/[LCM of 226,766]= 3/86558
Therefore, the GCF of 3735/226,1416/766 is 3/86558.
To find the highest common factor of 3735,1416, we have to find the factors of both numbers and list the highest common factor.
The factors of 3735 are 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735
The factors of 1416 are 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416
The HCF of 3735,1416 is 3.
Lets's calculate GCF of 3735,1416
| 3 | 3735, 1416 |
| 1245, 472 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3735,1416 By Matching Biggest Common Factor Method
Now, list down the factors of 3735
:1,3,5,9,15,45,83,249,415,747,1245,3735
Now, list down the factors of 1416
:1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416
Greatest Common Factor
We found the factors 3735,1416 . The biggest common factor number is the GCF number.
So the greatest common factor 3735,1416 is 3.
Lets's calculate LCM of 226,766
| 2 | 226, 766 |
| 113, 383 |
∴ So the LCM of the given numbers is 2 x 113 x 383 = 86558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/86558
Therefore, the GCF of Fractions 3735/226,1416/766 is 3/86558
Least Common Multiple of 226,766 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 226,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,766) x common factors =2 x 1 = 2
LCM(226,766) = ( 226 × 766 ) / 2
LCM(226,766) = 173116 / 2
LCM(226,766) = 86558
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FAQs on GCF of Fractions of 3735/226, 1416/766
1. What is the HCF of 3735,1416?
The HCF of 3735,1416 is 3
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 3735/226, 1416/766?
Answer: GCF of Numerators as per given numbers 3735/226, 1416/766 is
GCF of Numerators i.e. for 3735,1416 is 3
LCM of denominators i.e. for 226,766 is 86558.
Thus, GCF of Fractions is 3/86558.Finally, GCF of Fractions for 3735/226, 1416/766 is 3/86558.