How to Find GCF of 4404/937, 1105/6459?

GCF of 4404/937, 1105/6459

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4404/937, 1105/6459 i.e 1/6052083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4404/937, 1105/6459.

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 4404/937,1105/6459?

Given fractions are 4404/937,1105/6459

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 4404/937,1105/6459, numerators are 4404,1105

Denominators are 937,6459

The GCF of 4404,1105 is 1 .

LCM of 937,6459 is 6052083.

The greatest common factor of 4404/937,1105/6459 = [GCF of 4404,1105]/[LCM of 937,6459]= 1/6052083

Therefore, the GCF of 4404/937,1105/6459 is 1/6052083.

Greatest Common Factor of 4404,1105

To find the highest common factor of 4404,1105, we have to find the factors of both numbers and list the highest common factor.

The factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404

The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105

The HCF of 4404,1105 is 1.

Lets's calculate GCF of 4404,1105

Greatest Common Factor (GCF) of 4404,1105 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4404,1105 By Matching Biggest Common Factor Method

Now, list down the factors of 4404

1,2,3,4,6,12,367,734,1101,1468,2202,4404

Now, list down the factors of 1105

1,5,13,17,65,85,221,1105

Greatest Common Factor

We found the factors 4404,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 4404,1105 is 1.

Lets's calculate LCM of 937,6459

Lowest Common Multiple of 937,6459 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6052083

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6052083

Therefore, the GCF of Fractions 4404/937,1105/6459 is 1/6052083

Least Common Multiple of 937,6459 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 937,6459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,6459) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(937,6459) x common factors =1 x 1 = 1

LCM(937,6459) = ( 937 × 6459 ) / 1

LCM(937,6459) = 6052083 / 1

LCM(937,6459) = 6052083

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FAQs on GCF of Fractions of 4404/937, 1105/6459

1. What is the HCF of 4404,1105?

The HCF of 4404,1105 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 4404/937, 1105/6459?

Answer: GCF of Numerators as per given numbers 4404/937, 1105/6459 is

GCF of Numerators i.e. for 4404,1105 is 1

LCM of denominators i.e. for 937,6459 is 6052083.

Thus, GCF of Fractions is 1/6052083.Finally, GCF of Fractions for 4404/937, 1105/6459 is 1/6052083.