GCF of 2451/195, 5688/3771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2451/195, 5688/3771 i.e 3/245115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2451/195, 5688/3771.
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 2451/195,5688/3771?
Given fractions are 2451/195,5688/3771
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 2451/195,5688/3771, numerators are 2451,5688
Denominators are 195,3771
The GCF of 2451,5688 is 3 .
LCM of 195,3771 is 245115.
The greatest common factor of 2451/195,5688/3771 = [GCF of 2451,5688]/[LCM of 195,3771]= 3/245115
Therefore, the GCF of 2451/195,5688/3771 is 3/245115.
To find the highest common factor of 2451,5688, we have to find the factors of both numbers and list the highest common factor.
The factors of 2451 are 1, 3, 19, 43, 57, 129, 817, 2451
The factors of 5688 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688
The HCF of 2451,5688 is 3.
Lets's calculate GCF of 2451,5688
| 3 | 2451, 5688 |
| 817, 1896 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2451,5688 By Matching Biggest Common Factor Method
Now, list down the factors of 2451
:1,3,19,43,57,129,817,2451
Now, list down the factors of 5688
:1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688
Greatest Common Factor
We found the factors 2451,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 2451,5688 is 3.
Lets's calculate LCM of 195,3771
| 3 | 195, 3771 |
| 65, 1257 |
∴ So the LCM of the given numbers is 3 x 65 x 1257 = 245115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/245115
Therefore, the GCF of Fractions 2451/195,5688/3771 is 3/245115
Least Common Multiple of 195,3771 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 195,3771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,3771) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(195,3771) x common factors =3 x 1 = 3
LCM(195,3771) = ( 195 × 3771 ) / 3
LCM(195,3771) = 735345 / 3
LCM(195,3771) = 245115
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2451/195, 5688/3771
1. What is the HCF of 2451,5688?
The HCF of 2451,5688 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 2451/195, 5688/3771?
Answer: GCF of Numerators as per given numbers 2451/195, 5688/3771 is
GCF of Numerators i.e. for 2451,5688 is 3
LCM of denominators i.e. for 195,3771 is 245115.
Thus, GCF of Fractions is 3/245115.Finally, GCF of Fractions for 2451/195, 5688/3771 is 3/245115.