How to Find GCF of 98/49, 47/38, 271/769?

GCF of 98/49, 47/38, 271/769

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 98/49, 47/38, 271/769 i.e 1/1431878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/49, 47/38, 271/769.

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 98/49,47/38,271/769?

Given fractions are 98/49,47/38,271/769

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 98/49,47/38,271/769, numerators are 98,47,271

Denominators are 49,38,769

The GCF of 98,47,271 is 1 .

LCM of 49,38,769 is 1431878.

The greatest common factor of 98/49,47/38,271/769 = [GCF of 98,47,271]/[LCM of 49,38,769]= 1/1431878

Therefore, the GCF of 98/49,47/38,271/769 is 1/1431878.

Greatest Common Factor of 98,47,271

To find the highest common factor of 98,47,271, 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 47 are 1, 47

The factors of 271 are 1, 271

The HCF of 98,47,271 is 1.

Lets's calculate GCF of 98,47,271

Greatest Common Factor (GCF) of 98,47,271 By Common Division

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

Greatest Common Factor of 98,47,271 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 47

1,47

Now, list down the factors of 271

1,271

Greatest Common Factor

We found the factors 98,47,271 . The biggest common factor number is the GCF number.
So the greatest common factor 98,47,271 is 1.

Lets's calculate LCM of 49,38,769

Lowest Common Multiple of 49,38,769 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1431878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1431878

Therefore, the GCF of Fractions 98/49,47/38,271/769 is 1/1431878

Least Common Multiple of 49,38,769 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 49,38,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,38,769) = 1

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

GCF(49,38,769) x common factors =1 x 1 = 1

LCM(49,38,769) = ( 49 × 38 × 769 ) / 1

LCM(49,38,769) = 1431878 / 1

LCM(49,38,769) = 1431878

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FAQs on GCF of Fractions of 98/49, 47/38, 271/769

1. What is the HCF of 98,47,271?

The HCF of 98,47,271 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 98/49, 47/38, 271/769?

Answer: GCF of Numerators as per given numbers 98/49, 47/38, 271/769 is

GCF of Numerators i.e. for 98,47,271 is 1

LCM of denominators i.e. for 49,38,769 is 1431878.

Thus, GCF of Fractions is 1/1431878.Finally, GCF of Fractions for 98/49, 47/38, 271/769 is 1/1431878.