How to Find GCF of 352/42, 542/65, 711/19?

GCF of 352/42, 542/65, 711/19

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 352/42, 542/65, 711/19 i.e 1/51870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/42, 542/65, 711/19.

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 352/42,542/65,711/19?

Given fractions are 352/42,542/65,711/19

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 352/42,542/65,711/19, numerators are 352,542,711

Denominators are 42,65,19

The GCF of 352,542,711 is 1 .

LCM of 42,65,19 is 51870.

The greatest common factor of 352/42,542/65,711/19 = [GCF of 352,542,711]/[LCM of 42,65,19]= 1/51870

Therefore, the GCF of 352/42,542/65,711/19 is 1/51870.

Greatest Common Factor of 352,542,711

To find the highest common factor of 352,542,711, we have to find the factors of both numbers and list the highest common factor.

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The factors of 542 are 1, 2, 271, 542

The factors of 711 are 1, 3, 9, 79, 237, 711

The HCF of 352,542,711 is 1.

Lets's calculate GCF of 352,542,711

Greatest Common Factor (GCF) of 352,542,711 By Common Division

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

Greatest Common Factor of 352,542,711 By Matching Biggest Common Factor Method

Now, list down the factors of 352

1,2,4,8,11,16,22,32,44,88,176,352

Now, list down the factors of 542

1,2,271,542

Now, list down the factors of 711

1,3,9,79,237,711

Greatest Common Factor

We found the factors 352,542,711 . The biggest common factor number is the GCF number.
So the greatest common factor 352,542,711 is 1.

Lets's calculate LCM of 42,65,19

Lowest Common Multiple of 42,65,19 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 51870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51870

Therefore, the GCF of Fractions 352/42,542/65,711/19 is 1/51870

Least Common Multiple of 42,65,19 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 42,65,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,65,19) = 1

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

GCF(42,65,19) x common factors =1 x 1 = 1

LCM(42,65,19) = ( 42 × 65 × 19 ) / 1

LCM(42,65,19) = 51870 / 1

LCM(42,65,19) = 51870

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FAQs on GCF of Fractions of 352/42, 542/65, 711/19

1. What is the HCF of 352,542,711?

The HCF of 352,542,711 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 352/42, 542/65, 711/19?

Answer: GCF of Numerators as per given numbers 352/42, 542/65, 711/19 is

GCF of Numerators i.e. for 352,542,711 is 1

LCM of denominators i.e. for 42,65,19 is 51870.

Thus, GCF of Fractions is 1/51870.Finally, GCF of Fractions for 352/42, 542/65, 711/19 is 1/51870.