How to Find GCF of 1203/219, 5296/4165?

GCF of 1203/219, 5296/4165

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 1203/219, 5296/4165 i.e 1/912135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1203/219, 5296/4165.

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 1203/219,5296/4165?

Given fractions are 1203/219,5296/4165

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 1203/219,5296/4165, numerators are 1203,5296

Denominators are 219,4165

The GCF of 1203,5296 is 1 .

LCM of 219,4165 is 912135.

The greatest common factor of 1203/219,5296/4165 = [GCF of 1203,5296]/[LCM of 219,4165]= 1/912135

Therefore, the GCF of 1203/219,5296/4165 is 1/912135.

Greatest Common Factor of 1203,5296

To find the highest common factor of 1203,5296, we have to find the factors of both numbers and list the highest common factor.

The factors of 1203 are 1, 3, 401, 1203

The factors of 5296 are 1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296

The HCF of 1203,5296 is 1.

Lets's calculate GCF of 1203,5296

Greatest Common Factor (GCF) of 1203,5296 By Common Division

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

Greatest Common Factor of 1203,5296 By Matching Biggest Common Factor Method

Now, list down the factors of 1203

1,3,401,1203

Now, list down the factors of 5296

1,2,4,8,16,331,662,1324,2648,5296

Greatest Common Factor

We found the factors 1203,5296 . The biggest common factor number is the GCF number.
So the greatest common factor 1203,5296 is 1.

Lets's calculate LCM of 219,4165

Lowest Common Multiple of 219,4165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 912135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/912135

Therefore, the GCF of Fractions 1203/219,5296/4165 is 1/912135

Least Common Multiple of 219,4165 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 219,4165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,4165) = 1

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

GCF(219,4165) x common factors =1 x 1 = 1

LCM(219,4165) = ( 219 × 4165 ) / 1

LCM(219,4165) = 912135 / 1

LCM(219,4165) = 912135

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FAQs on GCF of Fractions of 1203/219, 5296/4165

1. What is the HCF of 1203,5296?

The HCF of 1203,5296 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 1203/219, 5296/4165?

Answer: GCF of Numerators as per given numbers 1203/219, 5296/4165 is

GCF of Numerators i.e. for 1203,5296 is 1

LCM of denominators i.e. for 219,4165 is 912135.

Thus, GCF of Fractions is 1/912135.Finally, GCF of Fractions for 1203/219, 5296/4165 is 1/912135.