How to Find GCF of 49/382, 53/833, 784/559?

GCF of 49/382, 53/833, 784/559

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 49/382, 53/833, 784/559 i.e 1/177877154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/382, 53/833, 784/559.

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 49/382,53/833,784/559?

Given fractions are 49/382,53/833,784/559

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 49/382,53/833,784/559, numerators are 49,53,784

Denominators are 382,833,559

The GCF of 49,53,784 is 1 .

LCM of 382,833,559 is 177877154.

The greatest common factor of 49/382,53/833,784/559 = [GCF of 49,53,784]/[LCM of 382,833,559]= 1/177877154

Therefore, the GCF of 49/382,53/833,784/559 is 1/177877154.

Greatest Common Factor of 49,53,784

To find the highest common factor of 49,53,784, we have to find the factors of both numbers and list the highest common factor.

The factors of 49 are 1, 7, 49

The factors of 53 are 1, 53

The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

The HCF of 49,53,784 is 1.

Lets's calculate GCF of 49,53,784

Greatest Common Factor (GCF) of 49,53,784 By Common Division

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

Greatest Common Factor of 49,53,784 By Matching Biggest Common Factor Method

Now, list down the factors of 49

1,7,49

Now, list down the factors of 53

1,53

Now, list down the factors of 784

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 49,53,784 . The biggest common factor number is the GCF number.
So the greatest common factor 49,53,784 is 1.

Lets's calculate LCM of 382,833,559

Lowest Common Multiple of 382,833,559 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 177877154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177877154

Therefore, the GCF of Fractions 49/382,53/833,784/559 is 1/177877154

Least Common Multiple of 382,833,559 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 382,833,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,833,559) = 1

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

GCF(382,833,559) x common factors =1 x 1 = 1

LCM(382,833,559) = ( 382 × 833 × 559 ) / 1

LCM(382,833,559) = 177877154 / 1

LCM(382,833,559) = 177877154

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 49/382, 53/833, 784/559

1. What is the HCF of 49,53,784?

The HCF of 49,53,784 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 49/382, 53/833, 784/559?

Answer: GCF of Numerators as per given numbers 49/382, 53/833, 784/559 is

GCF of Numerators i.e. for 49,53,784 is 1

LCM of denominators i.e. for 382,833,559 is 177877154.

Thus, GCF of Fractions is 1/177877154.Finally, GCF of Fractions for 49/382, 53/833, 784/559 is 1/177877154.