GCF of 4211/618, 4256/332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4211/618, 4256/332 i.e 1/102588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4211/618, 4256/332.
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 4211/618,4256/332?
Given fractions are 4211/618,4256/332
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 4211/618,4256/332, numerators are 4211,4256
Denominators are 618,332
The GCF of 4211,4256 is 1 .
LCM of 618,332 is 102588.
The greatest common factor of 4211/618,4256/332 = [GCF of 4211,4256]/[LCM of 618,332]= 1/102588
Therefore, the GCF of 4211/618,4256/332 is 1/102588.
To find the highest common factor of 4211,4256, we have to find the factors of both numbers and list the highest common factor.
The factors of 4211 are 1, 4211
The factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256
The HCF of 4211,4256 is 1.
Lets's calculate GCF of 4211,4256
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4211,4256 By Matching Biggest Common Factor Method
Now, list down the factors of 4211
:1,4211
Now, list down the factors of 4256
:1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256
Greatest Common Factor
We found the factors 4211,4256 . The biggest common factor number is the GCF number.
So the greatest common factor 4211,4256 is 1.
Lets's calculate LCM of 618,332
| 2 | 618, 332 |
| 309, 166 |
∴ So the LCM of the given numbers is 2 x 309 x 166 = 102588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102588
Therefore, the GCF of Fractions 4211/618,4256/332 is 1/102588
Least Common Multiple of 618,332 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 618,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,332) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,332) x common factors =2 x 1 = 2
LCM(618,332) = ( 618 × 332 ) / 2
LCM(618,332) = 205176 / 2
LCM(618,332) = 102588
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FAQs on GCF of Fractions of 4211/618, 4256/332
1. What is the HCF of 4211,4256?
The HCF of 4211,4256 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 4211/618, 4256/332?
Answer: GCF of Numerators as per given numbers 4211/618, 4256/332 is
GCF of Numerators i.e. for 4211,4256 is 1
LCM of denominators i.e. for 618,332 is 102588.
Thus, GCF of Fractions is 1/102588.Finally, GCF of Fractions for 4211/618, 4256/332 is 1/102588.