How to Find GCF of 36/311, 98/179, 574/900?

GCF of 36/311, 98/179, 574/900

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 36/311, 98/179, 574/900 i.e 2/50102100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/311, 98/179, 574/900.

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 36/311,98/179,574/900?

Given fractions are 36/311,98/179,574/900

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 36/311,98/179,574/900, numerators are 36,98,574

Denominators are 311,179,900

The GCF of 36,98,574 is 2 .

LCM of 311,179,900 is 50102100.

The greatest common factor of 36/311,98/179,574/900 = [GCF of 36,98,574]/[LCM of 311,179,900]= 2/50102100

Therefore, the GCF of 36/311,98/179,574/900 is 2/50102100.

Greatest Common Factor of 36,98,574

To find the highest common factor of 36,98,574, we have to find the factors of both numbers and list the highest common factor.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 98 are 1, 2, 7, 14, 49, 98

The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574

The HCF of 36,98,574 is 2.

Lets's calculate GCF of 36,98,574

Greatest Common Factor (GCF) of 36,98,574 By Common Division

2	36, 98, 574
	18, 49, 287

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

Greatest Common Factor of 36,98,574 By Matching Biggest Common Factor Method

Now, list down the factors of 36

1,2,3,4,6,9,12,18,36

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 574

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 36,98,574 . The biggest common factor number is the GCF number.
So the greatest common factor 36,98,574 is 2.

Lets's calculate LCM of 311,179,900

Lowest Common Multiple of 311,179,900 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 50102100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50102100

Therefore, the GCF of Fractions 36/311,98/179,574/900 is 2/50102100

Least Common Multiple of 311,179,900 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 311,179,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,179,900) = 1

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

GCF(311,179,900) x common factors =1 x 1 = 1

LCM(311,179,900) = ( 311 × 179 × 900 ) / 1

LCM(311,179,900) = 50102100 / 1

LCM(311,179,900) = 50102100

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FAQs on GCF of Fractions of 36/311, 98/179, 574/900

1. What is the HCF of 36,98,574?

The HCF of 36,98,574 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 36/311, 98/179, 574/900?

Answer: GCF of Numerators as per given numbers 36/311, 98/179, 574/900 is

GCF of Numerators i.e. for 36,98,574 is 2

LCM of denominators i.e. for 311,179,900 is 50102100.

Thus, GCF of Fractions is 2/50102100.Finally, GCF of Fractions for 36/311, 98/179, 574/900 is 2/50102100.