How to Find GCF of 7219/191, 1349/5542?

GCF of 7219/191, 1349/5542

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 7219/191, 1349/5542 i.e 1/1058522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7219/191, 1349/5542.

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 7219/191,1349/5542?

Given fractions are 7219/191,1349/5542

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 7219/191,1349/5542, numerators are 7219,1349

Denominators are 191,5542

The GCF of 7219,1349 is 1 .

LCM of 191,5542 is 1058522.

The greatest common factor of 7219/191,1349/5542 = [GCF of 7219,1349]/[LCM of 191,5542]= 1/1058522

Therefore, the GCF of 7219/191,1349/5542 is 1/1058522.

Greatest Common Factor of 7219,1349

To find the highest common factor of 7219,1349, we have to find the factors of both numbers and list the highest common factor.

The factors of 7219 are 1, 7219

The factors of 1349 are 1, 19, 71, 1349

The HCF of 7219,1349 is 1.

Lets's calculate GCF of 7219,1349

Greatest Common Factor (GCF) of 7219,1349 By Common Division

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

Greatest Common Factor of 7219,1349 By Matching Biggest Common Factor Method

Now, list down the factors of 7219

1,7219

Now, list down the factors of 1349

1,19,71,1349

Greatest Common Factor

We found the factors 7219,1349 . The biggest common factor number is the GCF number.
So the greatest common factor 7219,1349 is 1.

Lets's calculate LCM of 191,5542

Lowest Common Multiple of 191,5542 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1058522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1058522

Therefore, the GCF of Fractions 7219/191,1349/5542 is 1/1058522

Least Common Multiple of 191,5542 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 191,5542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,5542) = 1

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

GCF(191,5542) x common factors =1 x 1 = 1

LCM(191,5542) = ( 191 × 5542 ) / 1

LCM(191,5542) = 1058522 / 1

LCM(191,5542) = 1058522

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FAQs on GCF of Fractions of 7219/191, 1349/5542

1. What is the HCF of 7219,1349?

The HCF of 7219,1349 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 7219/191, 1349/5542?

Answer: GCF of Numerators as per given numbers 7219/191, 1349/5542 is

GCF of Numerators i.e. for 7219,1349 is 1

LCM of denominators i.e. for 191,5542 is 1058522.

Thus, GCF of Fractions is 1/1058522.Finally, GCF of Fractions for 7219/191, 1349/5542 is 1/1058522.