How to Find GCF of 30/749, 6666/3331?

GCF of 30/749, 6666/3331

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 30/749, 6666/3331 i.e 6/2494919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/749, 6666/3331.

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 30/749,6666/3331?

Given fractions are 30/749,6666/3331

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 30/749,6666/3331, numerators are 30,6666

Denominators are 749,3331

The GCF of 30,6666 is 6 .

LCM of 749,3331 is 2494919.

The greatest common factor of 30/749,6666/3331 = [GCF of 30,6666]/[LCM of 749,3331]= 6/2494919

Therefore, the GCF of 30/749,6666/3331 is 6/2494919.

Greatest Common Factor of 30,6666

To find the highest common factor of 30,6666, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 6666 are 1, 2, 3, 6, 11, 22, 33, 66, 101, 202, 303, 606, 1111, 2222, 3333, 6666

The HCF of 30,6666 is 6.

Lets's calculate GCF of 30,6666

Greatest Common Factor (GCF) of 30,6666 By Common Division

2	30, 6666
3	15, 3333
	5, 1111

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 30,6666 By Matching Biggest Common Factor Method

Now, list down the factors of 30

1,2,3,5,6,10,15,30

Now, list down the factors of 6666

1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666

Greatest Common Factor

We found the factors 30,6666 . The biggest common factor number is the GCF number.
So the greatest common factor 30,6666 is 6.

Lets's calculate LCM of 749,3331

Lowest Common Multiple of 749,3331 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2494919

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2494919

Therefore, the GCF of Fractions 30/749,6666/3331 is 6/2494919

Least Common Multiple of 749,3331 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 749,3331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,3331) = 1

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

GCF(749,3331) x common factors =1 x 1 = 1

LCM(749,3331) = ( 749 × 3331 ) / 1

LCM(749,3331) = 2494919 / 1

LCM(749,3331) = 2494919

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FAQs on GCF of Fractions of 30/749, 6666/3331

1. What is the HCF of 30,6666?

The HCF of 30,6666 is 6

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 30/749, 6666/3331?

Answer: GCF of Numerators as per given numbers 30/749, 6666/3331 is

GCF of Numerators i.e. for 30,6666 is 6

LCM of denominators i.e. for 749,3331 is 2494919.

Thus, GCF of Fractions is 6/2494919.Finally, GCF of Fractions for 30/749, 6666/3331 is 6/2494919.