How to Find GCF of 1302/785, 6073/3887?

GCF of 1302/785, 6073/3887

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 1302/785, 6073/3887 i.e 1/3051295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1302/785, 6073/3887.

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 1302/785,6073/3887?

Given fractions are 1302/785,6073/3887

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 1302/785,6073/3887, numerators are 1302,6073

Denominators are 785,3887

The GCF of 1302,6073 is 1 .

LCM of 785,3887 is 3051295.

The greatest common factor of 1302/785,6073/3887 = [GCF of 1302,6073]/[LCM of 785,3887]= 1/3051295

Therefore, the GCF of 1302/785,6073/3887 is 1/3051295.

Greatest Common Factor of 1302,6073

To find the highest common factor of 1302,6073, we have to find the factors of both numbers and list the highest common factor.

The factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302

The factors of 6073 are 1, 6073

The HCF of 1302,6073 is 1.

Lets's calculate GCF of 1302,6073

Greatest Common Factor (GCF) of 1302,6073 By Common Division

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

Greatest Common Factor of 1302,6073 By Matching Biggest Common Factor Method

Now, list down the factors of 1302

1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302

Now, list down the factors of 6073

1,6073

Greatest Common Factor

We found the factors 1302,6073 . The biggest common factor number is the GCF number.
So the greatest common factor 1302,6073 is 1.

Lets's calculate LCM of 785,3887

Lowest Common Multiple of 785,3887 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3051295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3051295

Therefore, the GCF of Fractions 1302/785,6073/3887 is 1/3051295

Least Common Multiple of 785,3887 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 785,3887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,3887) = 1

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

GCF(785,3887) x common factors =1 x 1 = 1

LCM(785,3887) = ( 785 × 3887 ) / 1

LCM(785,3887) = 3051295 / 1

LCM(785,3887) = 3051295

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1302/785, 6073/3887

1. What is the HCF of 1302,6073?

The HCF of 1302,6073 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 1302/785, 6073/3887?

Answer: GCF of Numerators as per given numbers 1302/785, 6073/3887 is

GCF of Numerators i.e. for 1302,6073 is 1

LCM of denominators i.e. for 785,3887 is 3051295.

Thus, GCF of Fractions is 1/3051295.Finally, GCF of Fractions for 1302/785, 6073/3887 is 1/3051295.