GCF of 4393/943, 7709/2747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4393/943, 7709/2747 i.e 1/63181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4393/943, 7709/2747.
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 4393/943,7709/2747?
Given fractions are 4393/943,7709/2747
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 4393/943,7709/2747, numerators are 4393,7709
Denominators are 943,2747
The GCF of 4393,7709 is 1 .
LCM of 943,2747 is 63181.
The greatest common factor of 4393/943,7709/2747 = [GCF of 4393,7709]/[LCM of 943,2747]= 1/63181
Therefore, the GCF of 4393/943,7709/2747 is 1/63181.
To find the highest common factor of 4393,7709, we have to find the factors of both numbers and list the highest common factor.
The factors of 4393 are 1, 23, 191, 4393
The factors of 7709 are 1, 13, 593, 7709
The HCF of 4393,7709 is 1.
Lets's calculate GCF of 4393,7709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4393,7709 By Matching Biggest Common Factor Method
Now, list down the factors of 4393
:1,23,191,4393
Now, list down the factors of 7709
:1,13,593,7709
Greatest Common Factor
We found the factors 4393,7709 . The biggest common factor number is the GCF number.
So the greatest common factor 4393,7709 is 1.
Lets's calculate LCM of 943,2747
| 41 | 943, 2747 |
| 23, 67 |
∴ So the LCM of the given numbers is 41 x 23 x 67 = 63181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63181
Therefore, the GCF of Fractions 4393/943,7709/2747 is 1/63181
Least Common Multiple of 943,2747 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 943,2747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,2747) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(943,2747) x common factors =41 x 1 = 41
LCM(943,2747) = ( 943 × 2747 ) / 41
LCM(943,2747) = 2590421 / 41
LCM(943,2747) = 63181
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FAQs on GCF of Fractions of 4393/943, 7709/2747
1. What is the HCF of 4393,7709?
The HCF of 4393,7709 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 4393/943, 7709/2747?
Answer: GCF of Numerators as per given numbers 4393/943, 7709/2747 is
GCF of Numerators i.e. for 4393,7709 is 1
LCM of denominators i.e. for 943,2747 is 63181.
Thus, GCF of Fractions is 1/63181.Finally, GCF of Fractions for 4393/943, 7709/2747 is 1/63181.