GCF of 4332/969, 3727/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4332/969, 3727/294 i.e 1/94962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4332/969, 3727/294.
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 4332/969,3727/294?
Given fractions are 4332/969,3727/294
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 4332/969,3727/294, numerators are 4332,3727
Denominators are 969,294
The GCF of 4332,3727 is 1 .
LCM of 969,294 is 94962.
The greatest common factor of 4332/969,3727/294 = [GCF of 4332,3727]/[LCM of 969,294]= 1/94962
Therefore, the GCF of 4332/969,3727/294 is 1/94962.
To find the highest common factor of 4332,3727, we have to find the factors of both numbers and list the highest common factor.
The factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332
The factors of 3727 are 1, 3727
The HCF of 4332,3727 is 1.
Lets's calculate GCF of 4332,3727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4332,3727 By Matching Biggest Common Factor Method
Now, list down the factors of 4332
:1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Now, list down the factors of 3727
:1,3727
Greatest Common Factor
We found the factors 4332,3727 . The biggest common factor number is the GCF number.
So the greatest common factor 4332,3727 is 1.
Lets's calculate LCM of 969,294
| 3 | 969, 294 |
| 323, 98 |
∴ So the LCM of the given numbers is 3 x 323 x 98 = 94962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94962
Therefore, the GCF of Fractions 4332/969,3727/294 is 1/94962
Least Common Multiple of 969,294 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 969,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,294) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,294) x common factors =3 x 1 = 3
LCM(969,294) = ( 969 × 294 ) / 3
LCM(969,294) = 284886 / 3
LCM(969,294) = 94962
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FAQs on GCF of Fractions of 4332/969, 3727/294
1. What is the HCF of 4332,3727?
The HCF of 4332,3727 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 4332/969, 3727/294?
Answer: GCF of Numerators as per given numbers 4332/969, 3727/294 is
GCF of Numerators i.e. for 4332,3727 is 1
LCM of denominators i.e. for 969,294 is 94962.
Thus, GCF of Fractions is 1/94962.Finally, GCF of Fractions for 4332/969, 3727/294 is 1/94962.