GCF of 845/256, 5490/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 845/256, 5490/117 i.e 5/29952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/256, 5490/117.
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 845/256,5490/117?
Given fractions are 845/256,5490/117
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 845/256,5490/117, numerators are 845,5490
Denominators are 256,117
The GCF of 845,5490 is 5 .
LCM of 256,117 is 29952.
The greatest common factor of 845/256,5490/117 = [GCF of 845,5490]/[LCM of 256,117]= 5/29952
Therefore, the GCF of 845/256,5490/117 is 5/29952.
To find the highest common factor of 845,5490, we have to find the factors of both numbers and list the highest common factor.
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490
The HCF of 845,5490 is 5.
Lets's calculate GCF of 845,5490
| 5 | 845, 5490 |
| 169, 1098 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 845,5490 By Matching Biggest Common Factor Method
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 5490
:1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490
Greatest Common Factor
We found the factors 845,5490 . The biggest common factor number is the GCF number.
So the greatest common factor 845,5490 is 5.
Lets's calculate LCM of 256,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 29952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29952
Therefore, the GCF of Fractions 845/256,5490/117 is 5/29952
Least Common Multiple of 256,117 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 256,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,117) x common factors =1 x 1 = 1
LCM(256,117) = ( 256 × 117 ) / 1
LCM(256,117) = 29952 / 1
LCM(256,117) = 29952
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 845/256, 5490/117
1. What is the HCF of 845,5490?
The HCF of 845,5490 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 845/256, 5490/117?
Answer: GCF of Numerators as per given numbers 845/256, 5490/117 is
GCF of Numerators i.e. for 845,5490 is 5
LCM of denominators i.e. for 256,117 is 29952.
Thus, GCF of Fractions is 5/29952.Finally, GCF of Fractions for 845/256, 5490/117 is 5/29952.