How to Find GCF of 113/156, 3819/6834?

GCF of 113/156, 3819/6834

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 113/156, 3819/6834 i.e 1/177684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 113/156, 3819/6834.

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 113/156,3819/6834?

Given fractions are 113/156,3819/6834

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 113/156,3819/6834, numerators are 113,3819

Denominators are 156,6834

The GCF of 113,3819 is 1 .

LCM of 156,6834 is 177684.

The greatest common factor of 113/156,3819/6834 = [GCF of 113,3819]/[LCM of 156,6834]= 1/177684

Therefore, the GCF of 113/156,3819/6834 is 1/177684.

Greatest Common Factor of 113,3819

To find the highest common factor of 113,3819, we have to find the factors of both numbers and list the highest common factor.

The factors of 113 are 1, 113

The factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819

The HCF of 113,3819 is 1.

Lets's calculate GCF of 113,3819

Greatest Common Factor (GCF) of 113,3819 By Common Division

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

Greatest Common Factor of 113,3819 By Matching Biggest Common Factor Method

Now, list down the factors of 113

1,113

Now, list down the factors of 3819

1,3,19,57,67,201,1273,3819

Greatest Common Factor

We found the factors 113,3819 . The biggest common factor number is the GCF number.
So the greatest common factor 113,3819 is 1.

Lets's calculate LCM of 156,6834

Lowest Common Multiple of 156,6834 using Common Division

2	156, 6834
3	78, 3417
	26, 1139

∴ So the LCM of the given numbers is 2 x 3 x 26 x 1139 = 177684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177684

Therefore, the GCF of Fractions 113/156,3819/6834 is 1/177684

Least Common Multiple of 156,6834 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 156,6834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,6834) = 6

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

GCF(156,6834) x common factors =6 x 1 = 6

LCM(156,6834) = ( 156 × 6834 ) / 6

LCM(156,6834) = 1066104 / 6

LCM(156,6834) = 177684

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FAQs on GCF of Fractions of 113/156, 3819/6834

1. What is the HCF of 113,3819?

The HCF of 113,3819 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 113/156, 3819/6834?

Answer: GCF of Numerators as per given numbers 113/156, 3819/6834 is

GCF of Numerators i.e. for 113,3819 is 1

LCM of denominators i.e. for 156,6834 is 177684.

Thus, GCF of Fractions is 1/177684.Finally, GCF of Fractions for 113/156, 3819/6834 is 1/177684.