How to Find GCF of 24/70, 419/74, 554/618?

GCF of 24/70, 419/74, 554/618

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 24/70, 419/74, 554/618 i.e 1/800310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/70, 419/74, 554/618.

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 24/70,419/74,554/618?

Given fractions are 24/70,419/74,554/618

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 24/70,419/74,554/618, numerators are 24,419,554

Denominators are 70,74,618

The GCF of 24,419,554 is 1 .

LCM of 70,74,618 is 800310.

The greatest common factor of 24/70,419/74,554/618 = [GCF of 24,419,554]/[LCM of 70,74,618]= 1/800310

Therefore, the GCF of 24/70,419/74,554/618 is 1/800310.

Greatest Common Factor of 24,419,554

To find the highest common factor of 24,419,554, we have to find the factors of both numbers and list the highest common factor.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The factors of 419 are 1, 419

The factors of 554 are 1, 2, 277, 554

The HCF of 24,419,554 is 1.

Lets's calculate GCF of 24,419,554

Greatest Common Factor (GCF) of 24,419,554 By Common Division

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

Greatest Common Factor of 24,419,554 By Matching Biggest Common Factor Method

Now, list down the factors of 24

1,2,3,4,6,8,12,24

Now, list down the factors of 419

1,419

Now, list down the factors of 554

1,2,277,554

Greatest Common Factor

We found the factors 24,419,554 . The biggest common factor number is the GCF number.
So the greatest common factor 24,419,554 is 1.

Lets's calculate LCM of 70,74,618

Lowest Common Multiple of 70,74,618 using Common Division

2	70, 74, 618
	35, 37, 309

∴ So the LCM of the given numbers is 2 x 35 x 37 x 309 = 800310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/800310

Therefore, the GCF of Fractions 24/70,419/74,554/618 is 1/800310

Least Common Multiple of 70,74,618 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 70,74,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,74,618) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(70,74,618) x common factors =2 x 2 = 4

LCM(70,74,618) = ( 70 × 74 × 618 ) / 4

LCM(70,74,618) = 3201240 / 4

LCM(70,74,618) = 800310

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FAQs on GCF of Fractions of 24/70, 419/74, 554/618

1. What is the HCF of 24,419,554?

The HCF of 24,419,554 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 24/70, 419/74, 554/618?

Answer: GCF of Numerators as per given numbers 24/70, 419/74, 554/618 is

GCF of Numerators i.e. for 24,419,554 is 1

LCM of denominators i.e. for 70,74,618 is 800310.

Thus, GCF of Fractions is 1/800310.Finally, GCF of Fractions for 24/70, 419/74, 554/618 is 1/800310.