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GCF of 1823/496, 9719/271

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 1823/496, 9719/271 i.e 1/134416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1823/496, 9719/271.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1823/496,9719/271?

Given fractions are 1823/496,9719/271

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 1823/496,9719/271, numerators are 1823,9719

Denominators are 496,271

The GCF of 1823,9719 is 1 .

LCM of 496,271 is 134416.

The greatest common factor of 1823/496,9719/271 = [GCF of 1823,9719]/[LCM of 496,271]= 1/134416

Therefore, the GCF of 1823/496,9719/271 is 1/134416.

Greatest Common Factor of 1823,9719

To find the highest common factor of 1823,9719, we have to find the factors of both numbers and list the highest common factor.

The factors of 1823 are 1, 1823

The factors of 9719 are 1, 9719

The HCF of 1823,9719 is 1.

Lets's calculate GCF of 1823,9719

Greatest Common Factor (GCF) of 1823,9719 By Common Division

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

Greatest Common Factor of 1823,9719 By Matching Biggest Common Factor Method

Greatest Common Factor of 1823,9719 By Matching Biggest Common Factor Method

Now, list down the factors of 1823

:

1,1823

Now, list down the factors of 9719

:

1,9719

Greatest Common Factor

We found the factors 1823,9719 . The biggest common factor number is the GCF number.
So the greatest common factor 1823,9719 is 1.

Lets's calculate LCM of 496,271

Lowest Common Multiple of 496,271 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 134416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134416

Therefore, the GCF of Fractions 1823/496,9719/271 is 1/134416

Least Common Multiple of 496,271 with GCF Formula

Least Common Multiple of 496,271 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 496,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,271) = 1

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

GCF(496,271) x common factors =1 x 1 = 1

LCM(496,271) = ( 496 × 271 ) / 1

LCM(496,271) = 134416 / 1

LCM(496,271) = 134416


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FAQs on GCF of Fractions of 1823/496, 9719/271

1. What is the HCF of 1823,9719?

The HCF of 1823,9719 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 1823/496, 9719/271?

Answer: GCF of Numerators as per given numbers 1823/496, 9719/271 is

GCF of Numerators i.e. for 1823,9719 is 1

LCM of denominators i.e. for 496,271 is 134416.

Thus, GCF of Fractions is 1/134416.Finally, GCF of Fractions for 1823/496, 9719/271 is 1/134416.