How to Find GCF of 6684/108, 3046/7468?

GCF of 6684/108, 3046/7468

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 6684/108, 3046/7468 i.e 2/201636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6684/108, 3046/7468.

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 6684/108,3046/7468?

Given fractions are 6684/108,3046/7468

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 6684/108,3046/7468, numerators are 6684,3046

Denominators are 108,7468

The GCF of 6684,3046 is 2 .

LCM of 108,7468 is 201636.

The greatest common factor of 6684/108,3046/7468 = [GCF of 6684,3046]/[LCM of 108,7468]= 2/201636

Therefore, the GCF of 6684/108,3046/7468 is 2/201636.

Greatest Common Factor of 6684,3046

To find the highest common factor of 6684,3046, we have to find the factors of both numbers and list the highest common factor.

The factors of 6684 are 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684

The factors of 3046 are 1, 2, 1523, 3046

The HCF of 6684,3046 is 2.

Lets's calculate GCF of 6684,3046

Greatest Common Factor (GCF) of 6684,3046 By Common Division

2	6684, 3046
	3342, 1523

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

Greatest Common Factor of 6684,3046 By Matching Biggest Common Factor Method

Now, list down the factors of 6684

1,2,3,4,6,12,557,1114,1671,2228,3342,6684

Now, list down the factors of 3046

1,2,1523,3046

Greatest Common Factor

We found the factors 6684,3046 . The biggest common factor number is the GCF number.
So the greatest common factor 6684,3046 is 2.

Lets's calculate LCM of 108,7468

Lowest Common Multiple of 108,7468 using Common Division

2	108, 7468
2	54, 3734
	27, 1867

∴ So the LCM of the given numbers is 2 x 2 x 27 x 1867 = 201636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/201636

Therefore, the GCF of Fractions 6684/108,3046/7468 is 2/201636

Least Common Multiple of 108,7468 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 108,7468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,7468) = 4

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

GCF(108,7468) x common factors =4 x 1 = 4

LCM(108,7468) = ( 108 × 7468 ) / 4

LCM(108,7468) = 806544 / 4

LCM(108,7468) = 201636

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FAQs on GCF of Fractions of 6684/108, 3046/7468

1. What is the HCF of 6684,3046?

The HCF of 6684,3046 is 2

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 6684/108, 3046/7468?

Answer: GCF of Numerators as per given numbers 6684/108, 3046/7468 is

GCF of Numerators i.e. for 6684,3046 is 2

LCM of denominators i.e. for 108,7468 is 201636.

Thus, GCF of Fractions is 2/201636.Finally, GCF of Fractions for 6684/108, 3046/7468 is 2/201636.