How to Find GCF of 773/682, 4630/3253?

GCF of 773/682, 4630/3253

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 773/682, 4630/3253 i.e 1/2218546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 773/682, 4630/3253.

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 773/682,4630/3253?

Given fractions are 773/682,4630/3253

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 773/682,4630/3253, numerators are 773,4630

Denominators are 682,3253

The GCF of 773,4630 is 1 .

LCM of 682,3253 is 2218546.

The greatest common factor of 773/682,4630/3253 = [GCF of 773,4630]/[LCM of 682,3253]= 1/2218546

Therefore, the GCF of 773/682,4630/3253 is 1/2218546.

Greatest Common Factor of 773,4630

To find the highest common factor of 773,4630, we have to find the factors of both numbers and list the highest common factor.

The factors of 773 are 1, 773

The factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630

The HCF of 773,4630 is 1.

Lets's calculate GCF of 773,4630

Greatest Common Factor (GCF) of 773,4630 By Common Division

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

Greatest Common Factor of 773,4630 By Matching Biggest Common Factor Method

Now, list down the factors of 773

1,773

Now, list down the factors of 4630

1,2,5,10,463,926,2315,4630

Greatest Common Factor

We found the factors 773,4630 . The biggest common factor number is the GCF number.
So the greatest common factor 773,4630 is 1.

Lets's calculate LCM of 682,3253

Lowest Common Multiple of 682,3253 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2218546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2218546

Therefore, the GCF of Fractions 773/682,4630/3253 is 1/2218546

Least Common Multiple of 682,3253 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 682,3253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,3253) = 1

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

GCF(682,3253) x common factors =1 x 1 = 1

LCM(682,3253) = ( 682 × 3253 ) / 1

LCM(682,3253) = 2218546 / 1

LCM(682,3253) = 2218546

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 773/682, 4630/3253

1. What is the HCF of 773,4630?

The HCF of 773,4630 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 773/682, 4630/3253?

Answer: GCF of Numerators as per given numbers 773/682, 4630/3253 is

GCF of Numerators i.e. for 773,4630 is 1

LCM of denominators i.e. for 682,3253 is 2218546.

Thus, GCF of Fractions is 1/2218546.Finally, GCF of Fractions for 773/682, 4630/3253 is 1/2218546.