How to Find GCF of 9502/723, 1424/6919?

GCF of 9502/723, 1424/6919

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 9502/723, 1424/6919 i.e 2/5002437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9502/723, 1424/6919.

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 9502/723,1424/6919?

Given fractions are 9502/723,1424/6919

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 9502/723,1424/6919, numerators are 9502,1424

Denominators are 723,6919

The GCF of 9502,1424 is 2 .

LCM of 723,6919 is 5002437.

The greatest common factor of 9502/723,1424/6919 = [GCF of 9502,1424]/[LCM of 723,6919]= 2/5002437

Therefore, the GCF of 9502/723,1424/6919 is 2/5002437.

Greatest Common Factor of 9502,1424

To find the highest common factor of 9502,1424, we have to find the factors of both numbers and list the highest common factor.

The factors of 9502 are 1, 2, 4751, 9502

The factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424

The HCF of 9502,1424 is 2.

Lets's calculate GCF of 9502,1424

Greatest Common Factor (GCF) of 9502,1424 By Common Division

2	9502, 1424
	4751, 712

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9502,1424 By Matching Biggest Common Factor Method

Now, list down the factors of 9502

1,2,4751,9502

Now, list down the factors of 1424

1,2,4,8,16,89,178,356,712,1424

Greatest Common Factor

We found the factors 9502,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 9502,1424 is 2.

Lets's calculate LCM of 723,6919

Lowest Common Multiple of 723,6919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5002437

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5002437

Therefore, the GCF of Fractions 9502/723,1424/6919 is 2/5002437

Least Common Multiple of 723,6919 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 723,6919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,6919) = 1

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

GCF(723,6919) x common factors =1 x 1 = 1

LCM(723,6919) = ( 723 × 6919 ) / 1

LCM(723,6919) = 5002437 / 1

LCM(723,6919) = 5002437

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9502/723, 1424/6919

1. What is the HCF of 9502,1424?

The HCF of 9502,1424 is 2

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 9502/723, 1424/6919?

Answer: GCF of Numerators as per given numbers 9502/723, 1424/6919 is

GCF of Numerators i.e. for 9502,1424 is 2

LCM of denominators i.e. for 723,6919 is 5002437.

Thus, GCF of Fractions is 2/5002437.Finally, GCF of Fractions for 9502/723, 1424/6919 is 2/5002437.