How to Find GCF of 499/118, 945/572?

GCF of 499/118, 945/572

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 499/118, 945/572 i.e 1/33748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/118, 945/572.

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 499/118,945/572?

Given fractions are 499/118,945/572

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 499/118,945/572, numerators are 499,945

Denominators are 118,572

The GCF of 499,945 is 1 .

LCM of 118,572 is 33748.

The greatest common factor of 499/118,945/572 = [GCF of 499,945]/[LCM of 118,572]= 1/33748

Therefore, the GCF of 499/118,945/572 is 1/33748.

Greatest Common Factor of 499,945

To find the highest common factor of 499,945, we have to find the factors of both numbers and list the highest common factor.

The factors of 499 are 1, 499

The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

The HCF of 499,945 is 1.

Lets's calculate GCF of 499,945

Greatest Common Factor (GCF) of 499,945 By Common Division

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

Greatest Common Factor of 499,945 By Matching Biggest Common Factor Method

Now, list down the factors of 499

1,499

Now, list down the factors of 945

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 499,945 . The biggest common factor number is the GCF number.
So the greatest common factor 499,945 is 1.

Lets's calculate LCM of 118,572

Lowest Common Multiple of 118,572 using Common Division

2	118, 572
	59, 286

∴ So the LCM of the given numbers is 2 x 59 x 286 = 33748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33748

Therefore, the GCF of Fractions 499/118,945/572 is 1/33748

Least Common Multiple of 118,572 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 118,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,572) = 2

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

GCF(118,572) x common factors =2 x 1 = 2

LCM(118,572) = ( 118 × 572 ) / 2

LCM(118,572) = 67496 / 2

LCM(118,572) = 33748

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FAQs on GCF of Fractions of 499/118, 945/572

1. What is the HCF of 499,945?

The HCF of 499,945 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 499/118, 945/572?

Answer: GCF of Numerators as per given numbers 499/118, 945/572 is

GCF of Numerators i.e. for 499,945 is 1

LCM of denominators i.e. for 118,572 is 33748.

Thus, GCF of Fractions is 1/33748.Finally, GCF of Fractions for 499/118, 945/572 is 1/33748.