How to Find GCF of 69/664, 72/692, 541/147?

GCF of 69/664, 72/692, 541/147

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 69/664, 72/692, 541/147 i.e 1/16886184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/664, 72/692, 541/147.

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 69/664,72/692,541/147?

Given fractions are 69/664,72/692,541/147

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 69/664,72/692,541/147, numerators are 69,72,541

Denominators are 664,692,147

The GCF of 69,72,541 is 1 .

LCM of 664,692,147 is 16886184.

The greatest common factor of 69/664,72/692,541/147 = [GCF of 69,72,541]/[LCM of 664,692,147]= 1/16886184

Therefore, the GCF of 69/664,72/692,541/147 is 1/16886184.

Greatest Common Factor of 69,72,541

To find the highest common factor of 69,72,541, we have to find the factors of both numbers and list the highest common factor.

The factors of 69 are 1, 3, 23, 69

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 541 are 1, 541

The HCF of 69,72,541 is 1.

Lets's calculate GCF of 69,72,541

Greatest Common Factor (GCF) of 69,72,541 By Common Division

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

Greatest Common Factor of 69,72,541 By Matching Biggest Common Factor Method

Now, list down the factors of 69

1,3,23,69

Now, list down the factors of 72

1,2,3,4,6,8,9,12,18,24,36,72

Now, list down the factors of 541

1,541

Greatest Common Factor

We found the factors 69,72,541 . The biggest common factor number is the GCF number.
So the greatest common factor 69,72,541 is 1.

Lets's calculate LCM of 664,692,147

Lowest Common Multiple of 664,692,147 using Common Division

2	664, 692, 147
2	332, 346, 147
	166, 173, 147

∴ So the LCM of the given numbers is 2 x 2 x 166 x 173 x 147 = 16886184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16886184

Therefore, the GCF of Fractions 69/664,72/692,541/147 is 1/16886184

Least Common Multiple of 664,692,147 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 664,692,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,692,147) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(664,692,147) x common factors =1 x 4 = 4

LCM(664,692,147) = ( 664 × 692 × 147 ) / 4

LCM(664,692,147) = 67544736 / 4

LCM(664,692,147) = 16886184

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 69/664, 72/692, 541/147

1. What is the HCF of 69,72,541?

The HCF of 69,72,541 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 69/664, 72/692, 541/147?

Answer: GCF of Numerators as per given numbers 69/664, 72/692, 541/147 is

GCF of Numerators i.e. for 69,72,541 is 1

LCM of denominators i.e. for 664,692,147 is 16886184.

Thus, GCF of Fractions is 1/16886184.Finally, GCF of Fractions for 69/664, 72/692, 541/147 is 1/16886184.