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GCF of 2999/150, 1654/711

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 2999/150, 1654/711 i.e 1/35550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2999/150, 1654/711.

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 2999/150,1654/711?

Given fractions are 2999/150,1654/711

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 2999/150,1654/711, numerators are 2999,1654

Denominators are 150,711

The GCF of 2999,1654 is 1 .

LCM of 150,711 is 35550.

The greatest common factor of 2999/150,1654/711 = [GCF of 2999,1654]/[LCM of 150,711]= 1/35550

Therefore, the GCF of 2999/150,1654/711 is 1/35550.

Greatest Common Factor of 2999,1654

To find the highest common factor of 2999,1654, we have to find the factors of both numbers and list the highest common factor.

The factors of 2999 are 1, 2999

The factors of 1654 are 1, 2, 827, 1654

The HCF of 2999,1654 is 1.

Lets's calculate GCF of 2999,1654

Greatest Common Factor (GCF) of 2999,1654 By Common Division

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

Greatest Common Factor of 2999,1654 By Matching Biggest Common Factor Method

Greatest Common Factor of 2999,1654 By Matching Biggest Common Factor Method

Now, list down the factors of 2999

:

1,2999

Now, list down the factors of 1654

:

1,2,827,1654

Greatest Common Factor

We found the factors 2999,1654 . The biggest common factor number is the GCF number.
So the greatest common factor 2999,1654 is 1.

Lets's calculate LCM of 150,711

Lowest Common Multiple of 150,711 using Common Division

3 150, 711
50, 237

∴ So the LCM of the given numbers is 3 x 50 x 237 = 35550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35550

Therefore, the GCF of Fractions 2999/150,1654/711 is 1/35550

Least Common Multiple of 150,711 with GCF Formula

Least Common Multiple of 150,711 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 150,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,711) = 3

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

GCF(150,711) x common factors =3 x 1 = 3

LCM(150,711) = ( 150 × 711 ) / 3

LCM(150,711) = 106650 / 3

LCM(150,711) = 35550


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FAQs on GCF of Fractions of 2999/150, 1654/711

1. What is the HCF of 2999,1654?

The HCF of 2999,1654 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 2999/150, 1654/711?

Answer: GCF of Numerators as per given numbers 2999/150, 1654/711 is

GCF of Numerators i.e. for 2999,1654 is 1

LCM of denominators i.e. for 150,711 is 35550.

Thus, GCF of Fractions is 1/35550.Finally, GCF of Fractions for 2999/150, 1654/711 is 1/35550.