How to Find GCF of 92/26, 38/19, 678/383?

GCF of 92/26, 38/19, 678/383

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 92/26, 38/19, 678/383 i.e 2/189202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/26, 38/19, 678/383.

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 92/26,38/19,678/383?

Given fractions are 92/26,38/19,678/383

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 92/26,38/19,678/383, numerators are 92,38,678

Denominators are 26,19,383

The GCF of 92,38,678 is 2 .

LCM of 26,19,383 is 189202.

The greatest common factor of 92/26,38/19,678/383 = [GCF of 92,38,678]/[LCM of 26,19,383]= 2/189202

Therefore, the GCF of 92/26,38/19,678/383 is 2/189202.

Greatest Common Factor of 92,38,678

To find the highest common factor of 92,38,678, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 38 are 1, 2, 19, 38

The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678

The HCF of 92,38,678 is 2.

Lets's calculate GCF of 92,38,678

Greatest Common Factor (GCF) of 92,38,678 By Common Division

2	92, 38, 678
	46, 19, 339

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

Greatest Common Factor of 92,38,678 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 678

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 92,38,678 . The biggest common factor number is the GCF number.
So the greatest common factor 92,38,678 is 2.

Lets's calculate LCM of 26,19,383

Lowest Common Multiple of 26,19,383 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 189202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/189202

Therefore, the GCF of Fractions 92/26,38/19,678/383 is 2/189202

Least Common Multiple of 26,19,383 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 26,19,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,19,383) = 1

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

GCF(26,19,383) x common factors =1 x 1 = 1

LCM(26,19,383) = ( 26 × 19 × 383 ) / 1

LCM(26,19,383) = 189202 / 1

LCM(26,19,383) = 189202

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FAQs on GCF of Fractions of 92/26, 38/19, 678/383

1. What is the HCF of 92,38,678?

The HCF of 92,38,678 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 92/26, 38/19, 678/383?

Answer: GCF of Numerators as per given numbers 92/26, 38/19, 678/383 is

GCF of Numerators i.e. for 92,38,678 is 2

LCM of denominators i.e. for 26,19,383 is 189202.

Thus, GCF of Fractions is 2/189202.Finally, GCF of Fractions for 92/26, 38/19, 678/383 is 2/189202.