How to Find GCF of 7403/577, 1606/1638?

GCF of 7403/577, 1606/1638

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 7403/577, 1606/1638 i.e 11/945126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7403/577, 1606/1638.

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 7403/577,1606/1638?

Given fractions are 7403/577,1606/1638

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 7403/577,1606/1638, numerators are 7403,1606

Denominators are 577,1638

The GCF of 7403,1606 is 11 .

LCM of 577,1638 is 945126.

The greatest common factor of 7403/577,1606/1638 = [GCF of 7403,1606]/[LCM of 577,1638]= 11/945126

Therefore, the GCF of 7403/577,1606/1638 is 11/945126.

Greatest Common Factor of 7403,1606

To find the highest common factor of 7403,1606, we have to find the factors of both numbers and list the highest common factor.

The factors of 7403 are 1, 11, 673, 7403

The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606

The HCF of 7403,1606 is 11.

Lets's calculate GCF of 7403,1606

Greatest Common Factor (GCF) of 7403,1606 By Common Division

11	7403, 1606
	673, 146

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7403,1606 By Matching Biggest Common Factor Method

Now, list down the factors of 7403

1,11,673,7403

Now, list down the factors of 1606

1,2,11,22,73,146,803,1606

Greatest Common Factor

We found the factors 7403,1606 . The biggest common factor number is the GCF number.
So the greatest common factor 7403,1606 is 11.

Lets's calculate LCM of 577,1638

Lowest Common Multiple of 577,1638 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 945126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/945126

Therefore, the GCF of Fractions 7403/577,1606/1638 is 11/945126

Least Common Multiple of 577,1638 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 577,1638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,1638) = 1

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

GCF(577,1638) x common factors =1 x 1 = 1

LCM(577,1638) = ( 577 × 1638 ) / 1

LCM(577,1638) = 945126 / 1

LCM(577,1638) = 945126

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FAQs on GCF of Fractions of 7403/577, 1606/1638

1. What is the HCF of 7403,1606?

The HCF of 7403,1606 is 11

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 7403/577, 1606/1638?

Answer: GCF of Numerators as per given numbers 7403/577, 1606/1638 is

GCF of Numerators i.e. for 7403,1606 is 11

LCM of denominators i.e. for 577,1638 is 945126.

Thus, GCF of Fractions is 11/945126.Finally, GCF of Fractions for 7403/577, 1606/1638 is 11/945126.