How to Find GCF of 7933/950, 8249/5558?

GCF of 7933/950, 8249/5558

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 7933/950, 8249/5558 i.e 1/2640050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7933/950, 8249/5558.

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 7933/950,8249/5558?

Given fractions are 7933/950,8249/5558

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 7933/950,8249/5558, numerators are 7933,8249

Denominators are 950,5558

The GCF of 7933,8249 is 1 .

LCM of 950,5558 is 2640050.

The greatest common factor of 7933/950,8249/5558 = [GCF of 7933,8249]/[LCM of 950,5558]= 1/2640050

Therefore, the GCF of 7933/950,8249/5558 is 1/2640050.

Greatest Common Factor of 7933,8249

To find the highest common factor of 7933,8249, we have to find the factors of both numbers and list the highest common factor.

The factors of 7933 are 1, 7933

The factors of 8249 are 1, 73, 113, 8249

The HCF of 7933,8249 is 1.

Lets's calculate GCF of 7933,8249

Greatest Common Factor (GCF) of 7933,8249 By Common Division

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

Greatest Common Factor of 7933,8249 By Matching Biggest Common Factor Method

Now, list down the factors of 7933

1,7933

Now, list down the factors of 8249

1,73,113,8249

Greatest Common Factor

We found the factors 7933,8249 . The biggest common factor number is the GCF number.
So the greatest common factor 7933,8249 is 1.

Lets's calculate LCM of 950,5558

Lowest Common Multiple of 950,5558 using Common Division

2	950, 5558
	475, 2779

∴ So the LCM of the given numbers is 2 x 475 x 2779 = 2640050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2640050

Therefore, the GCF of Fractions 7933/950,8249/5558 is 1/2640050

Least Common Multiple of 950,5558 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 950,5558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,5558) = 2

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

GCF(950,5558) x common factors =2 x 1 = 2

LCM(950,5558) = ( 950 × 5558 ) / 2

LCM(950,5558) = 5280100 / 2

LCM(950,5558) = 2640050

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FAQs on GCF of Fractions of 7933/950, 8249/5558

1. What is the HCF of 7933,8249?

The HCF of 7933,8249 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 7933/950, 8249/5558?

Answer: GCF of Numerators as per given numbers 7933/950, 8249/5558 is

GCF of Numerators i.e. for 7933,8249 is 1

LCM of denominators i.e. for 950,5558 is 2640050.

Thus, GCF of Fractions is 1/2640050.Finally, GCF of Fractions for 7933/950, 8249/5558 is 1/2640050.