GCF of 2717/756, 3718/3900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2717/756, 3718/3900 i.e 143/245700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2717/756, 3718/3900.
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 2717/756,3718/3900?
Given fractions are 2717/756,3718/3900
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 2717/756,3718/3900, numerators are 2717,3718
Denominators are 756,3900
The GCF of 2717,3718 is 143 .
LCM of 756,3900 is 245700.
The greatest common factor of 2717/756,3718/3900 = [GCF of 2717,3718]/[LCM of 756,3900]= 143/245700
Therefore, the GCF of 2717/756,3718/3900 is 143/245700.
To find the highest common factor of 2717,3718, we have to find the factors of both numbers and list the highest common factor.
The factors of 2717 are 1, 11, 13, 19, 143, 209, 247, 2717
The factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718
The HCF of 2717,3718 is 143.
Lets's calculate GCF of 2717,3718
| 11 | 2717, 3718 |
| 13 | 247, 338 |
| 19, 26 |
∴ So the GCF of the given numbers is 11 x 13 = 143
Greatest Common Factor of 2717,3718 By Matching Biggest Common Factor Method
Now, list down the factors of 2717
:1,11,13,19,143,209,247,2717
Now, list down the factors of 3718
:1,2,11,13,22,26,143,169,286,338,1859,3718
Greatest Common Factor
We found the factors 2717,3718 . The biggest common factor number is the GCF number.
So the greatest common factor 2717,3718 is 143.
Lets's calculate LCM of 756,3900
| 2 | 756, 3900 |
| 2 | 378, 1950 |
| 3 | 189, 975 |
| 63, 325 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 63 x 325 = 245700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 143/245700
Therefore, the GCF of Fractions 2717/756,3718/3900 is 143/245700
Least Common Multiple of 756,3900 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 756,3900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,3900) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(756,3900) x common factors =12 x 1 = 12
LCM(756,3900) = ( 756 × 3900 ) / 12
LCM(756,3900) = 2948400 / 12
LCM(756,3900) = 245700
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FAQs on GCF of Fractions of 2717/756, 3718/3900
1. What is the HCF of 2717,3718?
The HCF of 2717,3718 is 143
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 2717/756, 3718/3900?
Answer: GCF of Numerators as per given numbers 2717/756, 3718/3900 is
GCF of Numerators i.e. for 2717,3718 is 143
LCM of denominators i.e. for 756,3900 is 245700.
Thus, GCF of Fractions is 143/245700.Finally, GCF of Fractions for 2717/756, 3718/3900 is 143/245700.