How to Find GCF of 143/404, 971/296, 352/114?

GCF of 143/404, 971/296, 352/114

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 143/404, 971/296, 352/114 i.e 1/1704072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/404, 971/296, 352/114.

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 143/404,971/296,352/114?

Given fractions are 143/404,971/296,352/114

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 143/404,971/296,352/114, numerators are 143,971,352

Denominators are 404,296,114

The GCF of 143,971,352 is 1 .

LCM of 404,296,114 is 1704072.

The greatest common factor of 143/404,971/296,352/114 = [GCF of 143,971,352]/[LCM of 404,296,114]= 1/1704072

Therefore, the GCF of 143/404,971/296,352/114 is 1/1704072.

Greatest Common Factor of 143,971,352

To find the highest common factor of 143,971,352, we have to find the factors of both numbers and list the highest common factor.

The factors of 143 are 1, 11, 13, 143

The factors of 971 are 1, 971

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

The HCF of 143,971,352 is 1.

Lets's calculate GCF of 143,971,352

Greatest Common Factor (GCF) of 143,971,352 By Common Division

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

Greatest Common Factor of 143,971,352 By Matching Biggest Common Factor Method

Now, list down the factors of 143

1,11,13,143

Now, list down the factors of 971

1,971

Now, list down the factors of 352

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

Greatest Common Factor

We found the factors 143,971,352 . The biggest common factor number is the GCF number.
So the greatest common factor 143,971,352 is 1.

Lets's calculate LCM of 404,296,114

Lowest Common Multiple of 404,296,114 using Common Division

2	404, 296, 114
2	202, 148, 57
	101, 74, 57

∴ So the LCM of the given numbers is 2 x 2 x 101 x 74 x 57 = 1704072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1704072

Therefore, the GCF of Fractions 143/404,971/296,352/114 is 1/1704072

Least Common Multiple of 404,296,114 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 404,296,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,296,114) = 2

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

GCF(404,296,114) x common factors =2 x 4 = 8

LCM(404,296,114) = ( 404 × 296 × 114 ) / 8

LCM(404,296,114) = 13632576 / 8

LCM(404,296,114) = 1704072

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 143/404, 971/296, 352/114

1. What is the HCF of 143,971,352?

The HCF of 143,971,352 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 143/404, 971/296, 352/114?

Answer: GCF of Numerators as per given numbers 143/404, 971/296, 352/114 is

GCF of Numerators i.e. for 143,971,352 is 1

LCM of denominators i.e. for 404,296,114 is 1704072.

Thus, GCF of Fractions is 1/1704072.Finally, GCF of Fractions for 143/404, 971/296, 352/114 is 1/1704072.