GCF of 1915/316, 5610/6346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1915/316, 5610/6346 i.e 5/1002668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1915/316, 5610/6346.
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 1915/316,5610/6346?
Given fractions are 1915/316,5610/6346
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 1915/316,5610/6346, numerators are 1915,5610
Denominators are 316,6346
The GCF of 1915,5610 is 5 .
LCM of 316,6346 is 1002668.
The greatest common factor of 1915/316,5610/6346 = [GCF of 1915,5610]/[LCM of 316,6346]= 5/1002668
Therefore, the GCF of 1915/316,5610/6346 is 5/1002668.
To find the highest common factor of 1915,5610, we have to find the factors of both numbers and list the highest common factor.
The factors of 1915 are 1, 5, 383, 1915
The factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610
The HCF of 1915,5610 is 5.
Lets's calculate GCF of 1915,5610
| 5 | 1915, 5610 |
| 383, 1122 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1915,5610 By Matching Biggest Common Factor Method
Now, list down the factors of 1915
:1,5,383,1915
Now, list down the factors of 5610
:1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Greatest Common Factor
We found the factors 1915,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 1915,5610 is 5.
Lets's calculate LCM of 316,6346
| 2 | 316, 6346 |
| 158, 3173 |
∴ So the LCM of the given numbers is 2 x 158 x 3173 = 1002668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1002668
Therefore, the GCF of Fractions 1915/316,5610/6346 is 5/1002668
Least Common Multiple of 316,6346 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 316,6346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,6346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(316,6346) x common factors =2 x 1 = 2
LCM(316,6346) = ( 316 × 6346 ) / 2
LCM(316,6346) = 2005336 / 2
LCM(316,6346) = 1002668
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FAQs on GCF of Fractions of 1915/316, 5610/6346
1. What is the HCF of 1915,5610?
The HCF of 1915,5610 is 5
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 1915/316, 5610/6346?
Answer: GCF of Numerators as per given numbers 1915/316, 5610/6346 is
GCF of Numerators i.e. for 1915,5610 is 5
LCM of denominators i.e. for 316,6346 is 1002668.
Thus, GCF of Fractions is 5/1002668.Finally, GCF of Fractions for 1915/316, 5610/6346 is 5/1002668.