GCF of 1858/163, 6503/1216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1858/163, 6503/1216 i.e 929/198208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1858/163, 6503/1216.
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 1858/163,6503/1216?
Given fractions are 1858/163,6503/1216
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 1858/163,6503/1216, numerators are 1858,6503
Denominators are 163,1216
The GCF of 1858,6503 is 929 .
LCM of 163,1216 is 198208.
The greatest common factor of 1858/163,6503/1216 = [GCF of 1858,6503]/[LCM of 163,1216]= 929/198208
Therefore, the GCF of 1858/163,6503/1216 is 929/198208.
To find the highest common factor of 1858,6503, we have to find the factors of both numbers and list the highest common factor.
The factors of 1858 are 1, 2, 929, 1858
The factors of 6503 are 1, 7, 929, 6503
The HCF of 1858,6503 is 929.
Lets's calculate GCF of 1858,6503
| 929 | 1858, 6503 |
| 2, 7 |
∴ So the GCF of the given numbers is 929 = 929
Greatest Common Factor of 1858,6503 By Matching Biggest Common Factor Method
Now, list down the factors of 1858
:1,2,929,1858
Now, list down the factors of 6503
:1,7,929,6503
Greatest Common Factor
We found the factors 1858,6503 . The biggest common factor number is the GCF number.
So the greatest common factor 1858,6503 is 929.
Lets's calculate LCM of 163,1216
Given numbers has no common factors except 1. So, there LCM is their product i.e 198208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 929/198208
Therefore, the GCF of Fractions 1858/163,6503/1216 is 929/198208
Least Common Multiple of 163,1216 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 163,1216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,1216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,1216) x common factors =1 x 1 = 1
LCM(163,1216) = ( 163 × 1216 ) / 1
LCM(163,1216) = 198208 / 1
LCM(163,1216) = 198208
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FAQs on GCF of Fractions of 1858/163, 6503/1216
1. What is the HCF of 1858,6503?
The HCF of 1858,6503 is 929
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 1858/163, 6503/1216?
Answer: GCF of Numerators as per given numbers 1858/163, 6503/1216 is
GCF of Numerators i.e. for 1858,6503 is 929
LCM of denominators i.e. for 163,1216 is 198208.
Thus, GCF of Fractions is 929/198208.Finally, GCF of Fractions for 1858/163, 6503/1216 is 929/198208.