Greatest Common Factor of 281/12, 673/84, 358/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 281/12, 673/84, 358/114

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 281/12,673/84,358/114

Given fractions are 281/12,673/84,358/114

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 281,673,358

Greatest Common Factor of Numerators i.e. GCF of 281,673,358 is 1 .

LCM of Denominators means LCM of 12,84,114 as per the given fractions.

LCM of 12,84,114 is 1596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 281,673,358

GCF of Fractions 281/12,673/84,358/114 is 1/1596

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

Greatest Common Factor of 281,673,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,673,358 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 281,673,358 . The biggest common factor number is the GCF number.
So the greatest common factor 281,673,358 is 1.

Lets's calculate LCM of 12,84,114

2 12, 84, 114
2 6, 42, 57
3 3, 21, 57
1, 7, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 7 x 19 = 1596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1596

Therefore, the GCF of Fractions 281/12,673/84,358/114 is 1/1596

Least Common Multiple of 12,84,114 with GCF Formula

Least Common Multiple of 12,84,114 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 12,84,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,84,114) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(12,84,114) x common factors =6 x 12 = 72

LCM(12,84,114) = ( 12 × 84 × 114 ) / 72

LCM(12,84,114) = 114912 / 72

LCM(12,84,114) = 1596


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 281/12, 673/84, 358/114

1. 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.

2. What is the GCF of Fractions for 281/12, 673/84, 358/114?

Answer: GCF of Numerators as per given numbers 281/12, 673/84, 358/114 is

GCF of Numerators i.e. for 281,673,358 is 1

LCM of denominators i.e. for 12,84,114 is 1596.

Thus, GCF of Fractions is 1/1596.Finally, GCF of Fractions for 281/12, 673/84, 358/114 is 1/1596.