How to Find GCF of 950/500, 7423/6946?

GCF of 950/500, 7423/6946

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 950/500, 7423/6946 i.e 1/1736500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/500, 7423/6946.

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 950/500,7423/6946?

Given fractions are 950/500,7423/6946

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 950/500,7423/6946, numerators are 950,7423

Denominators are 500,6946

The GCF of 950,7423 is 1 .

LCM of 500,6946 is 1736500.

The greatest common factor of 950/500,7423/6946 = [GCF of 950,7423]/[LCM of 500,6946]= 1/1736500

Therefore, the GCF of 950/500,7423/6946 is 1/1736500.

Greatest Common Factor of 950,7423

To find the highest common factor of 950,7423, we have to find the factors of both numbers and list the highest common factor.

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

The factors of 7423 are 1, 13, 571, 7423

The HCF of 950,7423 is 1.

Lets's calculate GCF of 950,7423

Greatest Common Factor (GCF) of 950,7423 By Common Division

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

Greatest Common Factor of 950,7423 By Matching Biggest Common Factor Method

Now, list down the factors of 950

1,2,5,10,19,25,38,50,95,190,475,950

Now, list down the factors of 7423

1,13,571,7423

Greatest Common Factor

We found the factors 950,7423 . The biggest common factor number is the GCF number.
So the greatest common factor 950,7423 is 1.

Lets's calculate LCM of 500,6946

Lowest Common Multiple of 500,6946 using Common Division

2	500, 6946
	250, 3473

∴ So the LCM of the given numbers is 2 x 250 x 3473 = 1736500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1736500

Therefore, the GCF of Fractions 950/500,7423/6946 is 1/1736500

Least Common Multiple of 500,6946 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 500,6946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,6946) = 2

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

GCF(500,6946) x common factors =2 x 1 = 2

LCM(500,6946) = ( 500 × 6946 ) / 2

LCM(500,6946) = 3473000 / 2

LCM(500,6946) = 1736500

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FAQs on GCF of Fractions of 950/500, 7423/6946

1. What is the HCF of 950,7423?

The HCF of 950,7423 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 950/500, 7423/6946?

Answer: GCF of Numerators as per given numbers 950/500, 7423/6946 is

GCF of Numerators i.e. for 950,7423 is 1

LCM of denominators i.e. for 500,6946 is 1736500.

Thus, GCF of Fractions is 1/1736500.Finally, GCF of Fractions for 950/500, 7423/6946 is 1/1736500.