How to Find GCF of 4243/945, 2494/3352?

GCF of 4243/945, 2494/3352

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 4243/945, 2494/3352 i.e 1/3167640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4243/945, 2494/3352.

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 4243/945,2494/3352?

Given fractions are 4243/945,2494/3352

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 4243/945,2494/3352, numerators are 4243,2494

Denominators are 945,3352

The GCF of 4243,2494 is 1 .

LCM of 945,3352 is 3167640.

The greatest common factor of 4243/945,2494/3352 = [GCF of 4243,2494]/[LCM of 945,3352]= 1/3167640

Therefore, the GCF of 4243/945,2494/3352 is 1/3167640.

Greatest Common Factor of 4243,2494

To find the highest common factor of 4243,2494, we have to find the factors of both numbers and list the highest common factor.

The factors of 4243 are 1, 4243

The factors of 2494 are 1, 2, 29, 43, 58, 86, 1247, 2494

The HCF of 4243,2494 is 1.

Lets's calculate GCF of 4243,2494

Greatest Common Factor (GCF) of 4243,2494 By Common Division

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

Greatest Common Factor of 4243,2494 By Matching Biggest Common Factor Method

Now, list down the factors of 4243

1,4243

Now, list down the factors of 2494

1,2,29,43,58,86,1247,2494

Greatest Common Factor

We found the factors 4243,2494 . The biggest common factor number is the GCF number.
So the greatest common factor 4243,2494 is 1.

Lets's calculate LCM of 945,3352

Lowest Common Multiple of 945,3352 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3167640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3167640

Therefore, the GCF of Fractions 4243/945,2494/3352 is 1/3167640

Least Common Multiple of 945,3352 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 945,3352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,3352) = 1

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

GCF(945,3352) x common factors =1 x 1 = 1

LCM(945,3352) = ( 945 × 3352 ) / 1

LCM(945,3352) = 3167640 / 1

LCM(945,3352) = 3167640

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FAQs on GCF of Fractions of 4243/945, 2494/3352

1. What is the HCF of 4243,2494?

The HCF of 4243,2494 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 4243/945, 2494/3352?

Answer: GCF of Numerators as per given numbers 4243/945, 2494/3352 is

GCF of Numerators i.e. for 4243,2494 is 1

LCM of denominators i.e. for 945,3352 is 3167640.

Thus, GCF of Fractions is 1/3167640.Finally, GCF of Fractions for 4243/945, 2494/3352 is 1/3167640.