How to Find GCF of 603/148, 1451/1204?

GCF of 603/148, 1451/1204

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 603/148, 1451/1204 i.e 1/44548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/148, 1451/1204.

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 603/148,1451/1204?

Given fractions are 603/148,1451/1204

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 603/148,1451/1204, numerators are 603,1451

Denominators are 148,1204

The GCF of 603,1451 is 1 .

LCM of 148,1204 is 44548.

The greatest common factor of 603/148,1451/1204 = [GCF of 603,1451]/[LCM of 148,1204]= 1/44548

Therefore, the GCF of 603/148,1451/1204 is 1/44548.

Greatest Common Factor of 603,1451

To find the highest common factor of 603,1451, we have to find the factors of both numbers and list the highest common factor.

The factors of 603 are 1, 3, 9, 67, 201, 603

The factors of 1451 are 1, 1451

The HCF of 603,1451 is 1.

Lets's calculate GCF of 603,1451

Greatest Common Factor (GCF) of 603,1451 By Common Division

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

Greatest Common Factor of 603,1451 By Matching Biggest Common Factor Method

Now, list down the factors of 603

1,3,9,67,201,603

Now, list down the factors of 1451

1,1451

Greatest Common Factor

We found the factors 603,1451 . The biggest common factor number is the GCF number.
So the greatest common factor 603,1451 is 1.

Lets's calculate LCM of 148,1204

Lowest Common Multiple of 148,1204 using Common Division

2	148, 1204
2	74, 602
	37, 301

∴ So the LCM of the given numbers is 2 x 2 x 37 x 301 = 44548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44548

Therefore, the GCF of Fractions 603/148,1451/1204 is 1/44548

Least Common Multiple of 148,1204 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 148,1204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,1204) = 4

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

GCF(148,1204) x common factors =4 x 1 = 4

LCM(148,1204) = ( 148 × 1204 ) / 4

LCM(148,1204) = 178192 / 4

LCM(148,1204) = 44548

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FAQs on GCF of Fractions of 603/148, 1451/1204

1. What is the HCF of 603,1451?

The HCF of 603,1451 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 603/148, 1451/1204?

Answer: GCF of Numerators as per given numbers 603/148, 1451/1204 is

GCF of Numerators i.e. for 603,1451 is 1

LCM of denominators i.e. for 148,1204 is 44548.

Thus, GCF of Fractions is 1/44548.Finally, GCF of Fractions for 603/148, 1451/1204 is 1/44548.