How to Find GCF of 7219/108, 9836/8648?

GCF of 7219/108, 9836/8648

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 7219/108, 9836/8648 i.e 1/233496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7219/108, 9836/8648.

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 7219/108,9836/8648?

Given fractions are 7219/108,9836/8648

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 7219/108,9836/8648, numerators are 7219,9836

Denominators are 108,8648

The GCF of 7219,9836 is 1 .

LCM of 108,8648 is 233496.

The greatest common factor of 7219/108,9836/8648 = [GCF of 7219,9836]/[LCM of 108,8648]= 1/233496

Therefore, the GCF of 7219/108,9836/8648 is 1/233496.

Greatest Common Factor of 7219,9836

To find the highest common factor of 7219,9836, 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 9836 are 1, 2, 4, 2459, 4918, 9836

The HCF of 7219,9836 is 1.

Lets's calculate GCF of 7219,9836

Greatest Common Factor (GCF) of 7219,9836 By Common Division

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

Greatest Common Factor of 7219,9836 By Matching Biggest Common Factor Method

Now, list down the factors of 7219

1,7219

Now, list down the factors of 9836

1,2,4,2459,4918,9836

Greatest Common Factor

We found the factors 7219,9836 . The biggest common factor number is the GCF number.
So the greatest common factor 7219,9836 is 1.

Lets's calculate LCM of 108,8648

Lowest Common Multiple of 108,8648 using Common Division

2	108, 8648
2	54, 4324
	27, 2162

∴ So the LCM of the given numbers is 2 x 2 x 27 x 2162 = 233496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233496

Therefore, the GCF of Fractions 7219/108,9836/8648 is 1/233496

Least Common Multiple of 108,8648 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 108,8648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,8648) = 4

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

GCF(108,8648) x common factors =4 x 1 = 4

LCM(108,8648) = ( 108 × 8648 ) / 4

LCM(108,8648) = 933984 / 4

LCM(108,8648) = 233496

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FAQs on GCF of Fractions of 7219/108, 9836/8648

1. What is the HCF of 7219,9836?

The HCF of 7219,9836 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 7219/108, 9836/8648?

Answer: GCF of Numerators as per given numbers 7219/108, 9836/8648 is

GCF of Numerators i.e. for 7219,9836 is 1

LCM of denominators i.e. for 108,8648 is 233496.

Thus, GCF of Fractions is 1/233496.Finally, GCF of Fractions for 7219/108, 9836/8648 is 1/233496.