How to Find GCF of 3477/173, 3781/6931?

GCF of 3477/173, 3781/6931

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 3477/173, 3781/6931 i.e 19/1199063 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3477/173, 3781/6931.

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 3477/173,3781/6931?

Given fractions are 3477/173,3781/6931

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 3477/173,3781/6931, numerators are 3477,3781

Denominators are 173,6931

The GCF of 3477,3781 is 19 .

LCM of 173,6931 is 1199063.

The greatest common factor of 3477/173,3781/6931 = [GCF of 3477,3781]/[LCM of 173,6931]= 19/1199063

Therefore, the GCF of 3477/173,3781/6931 is 19/1199063.

Greatest Common Factor of 3477,3781

To find the highest common factor of 3477,3781, we have to find the factors of both numbers and list the highest common factor.

The factors of 3477 are 1, 3, 19, 57, 61, 183, 1159, 3477

The factors of 3781 are 1, 19, 199, 3781

The HCF of 3477,3781 is 19.

Lets's calculate GCF of 3477,3781

Greatest Common Factor (GCF) of 3477,3781 By Common Division

19	3477, 3781
	183, 199

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 3477,3781 By Matching Biggest Common Factor Method

Now, list down the factors of 3477

1,3,19,57,61,183,1159,3477

Now, list down the factors of 3781

1,19,199,3781

Greatest Common Factor

We found the factors 3477,3781 . The biggest common factor number is the GCF number.
So the greatest common factor 3477,3781 is 19.

Lets's calculate LCM of 173,6931

Lowest Common Multiple of 173,6931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1199063

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1199063

Therefore, the GCF of Fractions 3477/173,3781/6931 is 19/1199063

Least Common Multiple of 173,6931 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 173,6931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,6931) = 1

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

GCF(173,6931) x common factors =1 x 1 = 1

LCM(173,6931) = ( 173 × 6931 ) / 1

LCM(173,6931) = 1199063 / 1

LCM(173,6931) = 1199063

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3477/173, 3781/6931

1. What is the HCF of 3477,3781?

The HCF of 3477,3781 is 19

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 3477/173, 3781/6931?

Answer: GCF of Numerators as per given numbers 3477/173, 3781/6931 is

GCF of Numerators i.e. for 3477,3781 is 19

LCM of denominators i.e. for 173,6931 is 1199063.

Thus, GCF of Fractions is 19/1199063.Finally, GCF of Fractions for 3477/173, 3781/6931 is 19/1199063.