GCF of 1851/634, 5355/8078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1851/634, 5355/8078 i.e 3/2560726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1851/634, 5355/8078.
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 1851/634,5355/8078?
Given fractions are 1851/634,5355/8078
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 1851/634,5355/8078, numerators are 1851,5355
Denominators are 634,8078
The GCF of 1851,5355 is 3 .
LCM of 634,8078 is 2560726.
The greatest common factor of 1851/634,5355/8078 = [GCF of 1851,5355]/[LCM of 634,8078]= 3/2560726
Therefore, the GCF of 1851/634,5355/8078 is 3/2560726.
To find the highest common factor of 1851,5355, we have to find the factors of both numbers and list the highest common factor.
The factors of 1851 are 1, 3, 617, 1851
The factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355
The HCF of 1851,5355 is 3.
Lets's calculate GCF of 1851,5355
| 3 | 1851, 5355 |
| 617, 1785 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1851,5355 By Matching Biggest Common Factor Method
Now, list down the factors of 1851
:1,3,617,1851
Now, list down the factors of 5355
:1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355
Greatest Common Factor
We found the factors 1851,5355 . The biggest common factor number is the GCF number.
So the greatest common factor 1851,5355 is 3.
Lets's calculate LCM of 634,8078
| 2 | 634, 8078 |
| 317, 4039 |
∴ So the LCM of the given numbers is 2 x 317 x 4039 = 2560726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2560726
Therefore, the GCF of Fractions 1851/634,5355/8078 is 3/2560726
Least Common Multiple of 634,8078 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 634,8078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,8078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,8078) x common factors =2 x 1 = 2
LCM(634,8078) = ( 634 × 8078 ) / 2
LCM(634,8078) = 5121452 / 2
LCM(634,8078) = 2560726
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FAQs on GCF of Fractions of 1851/634, 5355/8078
1. What is the HCF of 1851,5355?
The HCF of 1851,5355 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 1851/634, 5355/8078?
Answer: GCF of Numerators as per given numbers 1851/634, 5355/8078 is
GCF of Numerators i.e. for 1851,5355 is 3
LCM of denominators i.e. for 634,8078 is 2560726.
Thus, GCF of Fractions is 3/2560726.Finally, GCF of Fractions for 1851/634, 5355/8078 is 3/2560726.