How to Find GCF of 1494/584, 9941/1050?

GCF of 1494/584, 9941/1050

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 1494/584, 9941/1050 i.e 1/306600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1494/584, 9941/1050.

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 1494/584,9941/1050?

Given fractions are 1494/584,9941/1050

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 1494/584,9941/1050, numerators are 1494,9941

Denominators are 584,1050

The GCF of 1494,9941 is 1 .

LCM of 584,1050 is 306600.

The greatest common factor of 1494/584,9941/1050 = [GCF of 1494,9941]/[LCM of 584,1050]= 1/306600

Therefore, the GCF of 1494/584,9941/1050 is 1/306600.

Greatest Common Factor of 1494,9941

To find the highest common factor of 1494,9941, we have to find the factors of both numbers and list the highest common factor.

The factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494

The factors of 9941 are 1, 9941

The HCF of 1494,9941 is 1.

Lets's calculate GCF of 1494,9941

Greatest Common Factor (GCF) of 1494,9941 By Common Division

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

Greatest Common Factor of 1494,9941 By Matching Biggest Common Factor Method

Now, list down the factors of 1494

1,2,3,6,9,18,83,166,249,498,747,1494

Now, list down the factors of 9941

1,9941

Greatest Common Factor

We found the factors 1494,9941 . The biggest common factor number is the GCF number.
So the greatest common factor 1494,9941 is 1.

Lets's calculate LCM of 584,1050

Lowest Common Multiple of 584,1050 using Common Division

2	584, 1050
	292, 525

∴ So the LCM of the given numbers is 2 x 292 x 525 = 306600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306600

Therefore, the GCF of Fractions 1494/584,9941/1050 is 1/306600

Least Common Multiple of 584,1050 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 584,1050 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,1050) = 2

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

GCF(584,1050) x common factors =2 x 1 = 2

LCM(584,1050) = ( 584 × 1050 ) / 2

LCM(584,1050) = 613200 / 2

LCM(584,1050) = 306600

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FAQs on GCF of Fractions of 1494/584, 9941/1050

1. What is the HCF of 1494,9941?

The HCF of 1494,9941 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 1494/584, 9941/1050?

Answer: GCF of Numerators as per given numbers 1494/584, 9941/1050 is

GCF of Numerators i.e. for 1494,9941 is 1

LCM of denominators i.e. for 584,1050 is 306600.

Thus, GCF of Fractions is 1/306600.Finally, GCF of Fractions for 1494/584, 9941/1050 is 1/306600.