How to Find GCF of 98/496, 65/711, 901/871?

GCF of 98/496, 65/711, 901/871

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 98/496, 65/711, 901/871 i.e 1/307163376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/496, 65/711, 901/871.

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 98/496,65/711,901/871?

Given fractions are 98/496,65/711,901/871

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 98/496,65/711,901/871, numerators are 98,65,901

Denominators are 496,711,871

The GCF of 98,65,901 is 1 .

LCM of 496,711,871 is 307163376.

The greatest common factor of 98/496,65/711,901/871 = [GCF of 98,65,901]/[LCM of 496,711,871]= 1/307163376

Therefore, the GCF of 98/496,65/711,901/871 is 1/307163376.

Greatest Common Factor of 98,65,901

To find the highest common factor of 98,65,901, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 65 are 1, 5, 13, 65

The factors of 901 are 1, 17, 53, 901

The HCF of 98,65,901 is 1.

Lets's calculate GCF of 98,65,901

Greatest Common Factor (GCF) of 98,65,901 By Common Division

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

Greatest Common Factor of 98,65,901 By Matching Biggest Common Factor Method

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 65

1,5,13,65

Now, list down the factors of 901

1,17,53,901

Greatest Common Factor

We found the factors 98,65,901 . The biggest common factor number is the GCF number.
So the greatest common factor 98,65,901 is 1.

Lets's calculate LCM of 496,711,871

Lowest Common Multiple of 496,711,871 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 307163376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307163376

Therefore, the GCF of Fractions 98/496,65/711,901/871 is 1/307163376

Least Common Multiple of 496,711,871 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 496,711,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,711,871) = 1

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

GCF(496,711,871) x common factors =1 x 1 = 1

LCM(496,711,871) = ( 496 × 711 × 871 ) / 1

LCM(496,711,871) = 307163376 / 1

LCM(496,711,871) = 307163376

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 98/496, 65/711, 901/871

1. What is the HCF of 98,65,901?

The HCF of 98,65,901 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 98/496, 65/711, 901/871?

Answer: GCF of Numerators as per given numbers 98/496, 65/711, 901/871 is

GCF of Numerators i.e. for 98,65,901 is 1

LCM of denominators i.e. for 496,711,871 is 307163376.

Thus, GCF of Fractions is 1/307163376.Finally, GCF of Fractions for 98/496, 65/711, 901/871 is 1/307163376.