How to Find GCF of 9850/533, 7489/3349?

GCF of 9850/533, 7489/3349

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 9850/533, 7489/3349 i.e 1/1785017 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9850/533, 7489/3349.

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 9850/533,7489/3349?

Given fractions are 9850/533,7489/3349

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 9850/533,7489/3349, numerators are 9850,7489

Denominators are 533,3349

The GCF of 9850,7489 is 1 .

LCM of 533,3349 is 1785017.

The greatest common factor of 9850/533,7489/3349 = [GCF of 9850,7489]/[LCM of 533,3349]= 1/1785017

Therefore, the GCF of 9850/533,7489/3349 is 1/1785017.

Greatest Common Factor of 9850,7489

To find the highest common factor of 9850,7489, we have to find the factors of both numbers and list the highest common factor.

The factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850

The factors of 7489 are 1, 7489

The HCF of 9850,7489 is 1.

Lets's calculate GCF of 9850,7489

Greatest Common Factor (GCF) of 9850,7489 By Common Division

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

Greatest Common Factor of 9850,7489 By Matching Biggest Common Factor Method

Now, list down the factors of 9850

1,2,5,10,25,50,197,394,985,1970,4925,9850

Now, list down the factors of 7489

1,7489

Greatest Common Factor

We found the factors 9850,7489 . The biggest common factor number is the GCF number.
So the greatest common factor 9850,7489 is 1.

Lets's calculate LCM of 533,3349

Lowest Common Multiple of 533,3349 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1785017

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1785017

Therefore, the GCF of Fractions 9850/533,7489/3349 is 1/1785017

Least Common Multiple of 533,3349 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 533,3349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,3349) = 1

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

GCF(533,3349) x common factors =1 x 1 = 1

LCM(533,3349) = ( 533 × 3349 ) / 1

LCM(533,3349) = 1785017 / 1

LCM(533,3349) = 1785017

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9850/533, 7489/3349

1. What is the HCF of 9850,7489?

The HCF of 9850,7489 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 9850/533, 7489/3349?

Answer: GCF of Numerators as per given numbers 9850/533, 7489/3349 is

GCF of Numerators i.e. for 9850,7489 is 1

LCM of denominators i.e. for 533,3349 is 1785017.

Thus, GCF of Fractions is 1/1785017.Finally, GCF of Fractions for 9850/533, 7489/3349 is 1/1785017.