LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 682/647, 484/581

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 682/647, 484/581 i.e 22/375907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 682/647, 484/581.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 682/647,484/581?

Given fractions are 682/647,484/581

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 682/647,484/581, numerators are 682,484

Denominators are 647,581

The GCF of 682,484 is 22 .

LCM of 647,581 is 375907.

The greatest common factor of 682/647,484/581 = [GCF of 682,484]/[LCM of 647,581]= 22/375907

Therefore, the GCF of 682/647,484/581 is 22/375907.

Greatest Common Factor of 682,484

To find the highest common factor of 682,484, we have to find the factors of both numbers and list the highest common factor.

The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682

The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484

The HCF of 682,484 is 22.

Lets's calculate GCF of 682,484

Greatest Common Factor (GCF) of 682,484 By Common Division

2 682, 484
11 341, 242
31, 22

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 682,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,484 By Matching Biggest Common Factor Method

Now, list down the factors of 682

:

1,2,11,22,31,62,341,682

Now, list down the factors of 484

:

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 682,484 . The biggest common factor number is the GCF number.
So the greatest common factor 682,484 is 22.

Lets's calculate LCM of 647,581

Lowest Common Multiple of 647,581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 375907

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/375907

Therefore, the GCF of Fractions 682/647,484/581 is 22/375907

Least Common Multiple of 647,581 with GCF Formula

Least Common Multiple of 647,581 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 647,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,581) = 1

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

GCF(647,581) x common factors =1 x 1 = 1

LCM(647,581) = ( 647 × 581 ) / 1

LCM(647,581) = 375907 / 1

LCM(647,581) = 375907


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 682/647, 484/581

1. What is the HCF of 682,484?

The HCF of 682,484 is 22

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 682/647, 484/581?

Answer: GCF of Numerators as per given numbers 682/647, 484/581 is

GCF of Numerators i.e. for 682,484 is 22

LCM of denominators i.e. for 647,581 is 375907.

Thus, GCF of Fractions is 22/375907.Finally, GCF of Fractions for 682/647, 484/581 is 22/375907.