GCF of 1211/362, 4388/2984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1211/362, 4388/2984 i.e 1/540104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1211/362, 4388/2984.
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 1211/362,4388/2984?
Given fractions are 1211/362,4388/2984
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 1211/362,4388/2984, numerators are 1211,4388
Denominators are 362,2984
The GCF of 1211,4388 is 1 .
LCM of 362,2984 is 540104.
The greatest common factor of 1211/362,4388/2984 = [GCF of 1211,4388]/[LCM of 362,2984]= 1/540104
Therefore, the GCF of 1211/362,4388/2984 is 1/540104.
To find the highest common factor of 1211,4388, we have to find the factors of both numbers and list the highest common factor.
The factors of 1211 are 1, 7, 173, 1211
The factors of 4388 are 1, 2, 4, 1097, 2194, 4388
The HCF of 1211,4388 is 1.
Lets's calculate GCF of 1211,4388
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1211,4388 By Matching Biggest Common Factor Method
Now, list down the factors of 1211
:1,7,173,1211
Now, list down the factors of 4388
:1,2,4,1097,2194,4388
Greatest Common Factor
We found the factors 1211,4388 . The biggest common factor number is the GCF number.
So the greatest common factor 1211,4388 is 1.
Lets's calculate LCM of 362,2984
| 2 | 362, 2984 |
| 181, 1492 |
∴ So the LCM of the given numbers is 2 x 181 x 1492 = 540104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540104
Therefore, the GCF of Fractions 1211/362,4388/2984 is 1/540104
Least Common Multiple of 362,2984 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 362,2984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,2984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,2984) x common factors =2 x 1 = 2
LCM(362,2984) = ( 362 × 2984 ) / 2
LCM(362,2984) = 1080208 / 2
LCM(362,2984) = 540104
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1211/362, 4388/2984
1. What is the HCF of 1211,4388?
The HCF of 1211,4388 is 1
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 1211/362, 4388/2984?
Answer: GCF of Numerators as per given numbers 1211/362, 4388/2984 is
GCF of Numerators i.e. for 1211,4388 is 1
LCM of denominators i.e. for 362,2984 is 540104.
Thus, GCF of Fractions is 1/540104.Finally, GCF of Fractions for 1211/362, 4388/2984 is 1/540104.