GCF of 845/140, 1248/5333
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 845/140, 1248/5333 i.e 13/746620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/140, 1248/5333.
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 845/140,1248/5333?
Given fractions are 845/140,1248/5333
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 845/140,1248/5333, numerators are 845,1248
Denominators are 140,5333
The GCF of 845,1248 is 13 .
LCM of 140,5333 is 746620.
The greatest common factor of 845/140,1248/5333 = [GCF of 845,1248]/[LCM of 140,5333]= 13/746620
Therefore, the GCF of 845/140,1248/5333 is 13/746620.
To find the highest common factor of 845,1248, 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 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248
The HCF of 845,1248 is 13.
Lets's calculate GCF of 845,1248
| 13 | 845, 1248 |
| 65, 96 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 845,1248 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 1248
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,208,312,416,624,1248
Greatest Common Factor
We found the factors 845,1248 . The biggest common factor number is the GCF number.
So the greatest common factor 845,1248 is 13.
Lets's calculate LCM of 140,5333
Given numbers has no common factors except 1. So, there LCM is their product i.e 746620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/746620
Therefore, the GCF of Fractions 845/140,1248/5333 is 13/746620
Least Common Multiple of 140,5333 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 140,5333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,5333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(140,5333) x common factors =1 x 1 = 1
LCM(140,5333) = ( 140 × 5333 ) / 1
LCM(140,5333) = 746620 / 1
LCM(140,5333) = 746620
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FAQs on GCF of Fractions of 845/140, 1248/5333
1. What is the HCF of 845,1248?
The HCF of 845,1248 is 13
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 845/140, 1248/5333?
Answer: GCF of Numerators as per given numbers 845/140, 1248/5333 is
GCF of Numerators i.e. for 845,1248 is 13
LCM of denominators i.e. for 140,5333 is 746620.
Thus, GCF of Fractions is 13/746620.Finally, GCF of Fractions for 845/140, 1248/5333 is 13/746620.