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GCF of 604/555, 548/754

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 604/555, 548/754 i.e 4/418470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 604/555, 548/754.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 604/555,548/754?

Given fractions are 604/555,548/754

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 604/555,548/754, numerators are 604,548

Denominators are 555,754

The GCF of 604,548 is 4 .

LCM of 555,754 is 418470.

The greatest common factor of 604/555,548/754 = [GCF of 604,548]/[LCM of 555,754]= 4/418470

Therefore, the GCF of 604/555,548/754 is 4/418470.

Greatest Common Factor of 604,548

To find the highest common factor of 604,548, we have to find the factors of both numbers and list the highest common factor.

The factors of 604 are 1, 2, 4, 151, 302, 604

The factors of 548 are 1, 2, 4, 137, 274, 548

The HCF of 604,548 is 4.

Lets's calculate GCF of 604,548

Greatest Common Factor (GCF) of 604,548 By Common Division

2 604, 548
2 302, 274
151, 137

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 604,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,548 By Matching Biggest Common Factor Method

Now, list down the factors of 604

:

1,2,4,151,302,604

Now, list down the factors of 548

:

1,2,4,137,274,548

Greatest Common Factor

We found the factors 604,548 . The biggest common factor number is the GCF number.
So the greatest common factor 604,548 is 4.

Lets's calculate LCM of 555,754

Lowest Common Multiple of 555,754 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 418470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/418470

Therefore, the GCF of Fractions 604/555,548/754 is 4/418470

Least Common Multiple of 555,754 with GCF Formula

Least Common Multiple of 555,754 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 555,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(555,754) = 1

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

GCF(555,754) x common factors =1 x 1 = 1

LCM(555,754) = ( 555 × 754 ) / 1

LCM(555,754) = 418470 / 1

LCM(555,754) = 418470


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FAQs on GCF of Fractions of 604/555, 548/754

1. What is the HCF of 604,548?

The HCF of 604,548 is 4

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 604/555, 548/754?

Answer: GCF of Numerators as per given numbers 604/555, 548/754 is

GCF of Numerators i.e. for 604,548 is 4

LCM of denominators i.e. for 555,754 is 418470.

Thus, GCF of Fractions is 4/418470.Finally, GCF of Fractions for 604/555, 548/754 is 4/418470.