GCF of 4276/931, 1384/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4276/931, 1384/218 i.e 4/202958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4276/931, 1384/218.
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 4276/931,1384/218?
Given fractions are 4276/931,1384/218
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 4276/931,1384/218, numerators are 4276,1384
Denominators are 931,218
The GCF of 4276,1384 is 4 .
LCM of 931,218 is 202958.
The greatest common factor of 4276/931,1384/218 = [GCF of 4276,1384]/[LCM of 931,218]= 4/202958
Therefore, the GCF of 4276/931,1384/218 is 4/202958.
To find the highest common factor of 4276,1384, we have to find the factors of both numbers and list the highest common factor.
The factors of 4276 are 1, 2, 4, 1069, 2138, 4276
The factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384
The HCF of 4276,1384 is 4.
Lets's calculate GCF of 4276,1384
| 2 | 4276, 1384 |
| 2 | 2138, 692 |
| 1069, 346 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4276,1384 By Matching Biggest Common Factor Method
Now, list down the factors of 4276
:1,2,4,1069,2138,4276
Now, list down the factors of 1384
:1,2,4,8,173,346,692,1384
Greatest Common Factor
We found the factors 4276,1384 . The biggest common factor number is the GCF number.
So the greatest common factor 4276,1384 is 4.
Lets's calculate LCM of 931,218
Given numbers has no common factors except 1. So, there LCM is their product i.e 202958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/202958
Therefore, the GCF of Fractions 4276/931,1384/218 is 4/202958
Least Common Multiple of 931,218 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 931,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,218) x common factors =1 x 1 = 1
LCM(931,218) = ( 931 × 218 ) / 1
LCM(931,218) = 202958 / 1
LCM(931,218) = 202958
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FAQs on GCF of Fractions of 4276/931, 1384/218
1. What is the HCF of 4276,1384?
The HCF of 4276,1384 is 4
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 4276/931, 1384/218?
Answer: GCF of Numerators as per given numbers 4276/931, 1384/218 is
GCF of Numerators i.e. for 4276,1384 is 4
LCM of denominators i.e. for 931,218 is 202958.
Thus, GCF of Fractions is 4/202958.Finally, GCF of Fractions for 4276/931, 1384/218 is 4/202958.