How to Find GCF of 1298/223, 7819/6535?

GCF of 1298/223, 7819/6535

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 1298/223, 7819/6535 i.e 1/1457305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1298/223, 7819/6535.

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 1298/223,7819/6535?

Given fractions are 1298/223,7819/6535

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 1298/223,7819/6535, numerators are 1298,7819

Denominators are 223,6535

The GCF of 1298,7819 is 1 .

LCM of 223,6535 is 1457305.

The greatest common factor of 1298/223,7819/6535 = [GCF of 1298,7819]/[LCM of 223,6535]= 1/1457305

Therefore, the GCF of 1298/223,7819/6535 is 1/1457305.

Greatest Common Factor of 1298,7819

To find the highest common factor of 1298,7819, we have to find the factors of both numbers and list the highest common factor.

The factors of 1298 are 1, 2, 11, 22, 59, 118, 649, 1298

The factors of 7819 are 1, 7, 1117, 7819

The HCF of 1298,7819 is 1.

Lets's calculate GCF of 1298,7819

Greatest Common Factor (GCF) of 1298,7819 By Common Division

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

Greatest Common Factor of 1298,7819 By Matching Biggest Common Factor Method

Now, list down the factors of 1298

1,2,11,22,59,118,649,1298

Now, list down the factors of 7819

1,7,1117,7819

Greatest Common Factor

We found the factors 1298,7819 . The biggest common factor number is the GCF number.
So the greatest common factor 1298,7819 is 1.

Lets's calculate LCM of 223,6535

Lowest Common Multiple of 223,6535 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1457305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1457305

Therefore, the GCF of Fractions 1298/223,7819/6535 is 1/1457305

Least Common Multiple of 223,6535 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 223,6535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,6535) = 1

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

GCF(223,6535) x common factors =1 x 1 = 1

LCM(223,6535) = ( 223 × 6535 ) / 1

LCM(223,6535) = 1457305 / 1

LCM(223,6535) = 1457305

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FAQs on GCF of Fractions of 1298/223, 7819/6535

1. What is the HCF of 1298,7819?

The HCF of 1298,7819 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 1298/223, 7819/6535?

Answer: GCF of Numerators as per given numbers 1298/223, 7819/6535 is

GCF of Numerators i.e. for 1298,7819 is 1

LCM of denominators i.e. for 223,6535 is 1457305.

Thus, GCF of Fractions is 1/1457305.Finally, GCF of Fractions for 1298/223, 7819/6535 is 1/1457305.