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 2033/745, 5431/8530

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 2033/745, 5431/8530 i.e 1/1270970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2033/745, 5431/8530.

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 2033/745,5431/8530?

Given fractions are 2033/745,5431/8530

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 2033/745,5431/8530, numerators are 2033,5431

Denominators are 745,8530

The GCF of 2033,5431 is 1 .

LCM of 745,8530 is 1270970.

The greatest common factor of 2033/745,5431/8530 = [GCF of 2033,5431]/[LCM of 745,8530]= 1/1270970

Therefore, the GCF of 2033/745,5431/8530 is 1/1270970.

Greatest Common Factor of 2033,5431

To find the highest common factor of 2033,5431, we have to find the factors of both numbers and list the highest common factor.

The factors of 2033 are 1, 19, 107, 2033

The factors of 5431 are 1, 5431

The HCF of 2033,5431 is 1.

Lets's calculate GCF of 2033,5431

Greatest Common Factor (GCF) of 2033,5431 By Common Division

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

Greatest Common Factor of 2033,5431 By Matching Biggest Common Factor Method

Greatest Common Factor of 2033,5431 By Matching Biggest Common Factor Method

Now, list down the factors of 2033

:

1,19,107,2033

Now, list down the factors of 5431

:

1,5431

Greatest Common Factor

We found the factors 2033,5431 . The biggest common factor number is the GCF number.
So the greatest common factor 2033,5431 is 1.

Lets's calculate LCM of 745,8530

Lowest Common Multiple of 745,8530 using Common Division

5 745, 8530
149, 1706

∴ So the LCM of the given numbers is 5 x 149 x 1706 = 1270970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1270970

Therefore, the GCF of Fractions 2033/745,5431/8530 is 1/1270970

Least Common Multiple of 745,8530 with GCF Formula

Least Common Multiple of 745,8530 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 745,8530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,8530) = 5

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

GCF(745,8530) x common factors =5 x 1 = 5

LCM(745,8530) = ( 745 × 8530 ) / 5

LCM(745,8530) = 6354850 / 5

LCM(745,8530) = 1270970


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2033/745, 5431/8530

1. What is the HCF of 2033,5431?

The HCF of 2033,5431 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 2033/745, 5431/8530?

Answer: GCF of Numerators as per given numbers 2033/745, 5431/8530 is

GCF of Numerators i.e. for 2033,5431 is 1

LCM of denominators i.e. for 745,8530 is 1270970.

Thus, GCF of Fractions is 1/1270970.Finally, GCF of Fractions for 2033/745, 5431/8530 is 1/1270970.