How to Find GCF of 2197/432, 5484/6924?

GCF of 2197/432, 5484/6924

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 2197/432, 5484/6924 i.e 1/249264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2197/432, 5484/6924.

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 2197/432,5484/6924?

Given fractions are 2197/432,5484/6924

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 2197/432,5484/6924, numerators are 2197,5484

Denominators are 432,6924

The GCF of 2197,5484 is 1 .

LCM of 432,6924 is 249264.

The greatest common factor of 2197/432,5484/6924 = [GCF of 2197,5484]/[LCM of 432,6924]= 1/249264

Therefore, the GCF of 2197/432,5484/6924 is 1/249264.

Greatest Common Factor of 2197,5484

To find the highest common factor of 2197,5484, we have to find the factors of both numbers and list the highest common factor.

The factors of 2197 are 1, 13, 169, 2197

The factors of 5484 are 1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484

The HCF of 2197,5484 is 1.

Lets's calculate GCF of 2197,5484

Greatest Common Factor (GCF) of 2197,5484 By Common Division

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

Greatest Common Factor of 2197,5484 By Matching Biggest Common Factor Method

Now, list down the factors of 2197

1,13,169,2197

Now, list down the factors of 5484

1,2,3,4,6,12,457,914,1371,1828,2742,5484

Greatest Common Factor

We found the factors 2197,5484 . The biggest common factor number is the GCF number.
So the greatest common factor 2197,5484 is 1.

Lets's calculate LCM of 432,6924

Lowest Common Multiple of 432,6924 using Common Division

2	432, 6924
2	216, 3462
3	108, 1731
	36, 577

∴ So the LCM of the given numbers is 2 x 2 x 3 x 36 x 577 = 249264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249264

Therefore, the GCF of Fractions 2197/432,5484/6924 is 1/249264

Least Common Multiple of 432,6924 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 432,6924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,6924) = 12

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

GCF(432,6924) x common factors =12 x 1 = 12

LCM(432,6924) = ( 432 × 6924 ) / 12

LCM(432,6924) = 2991168 / 12

LCM(432,6924) = 249264

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FAQs on GCF of Fractions of 2197/432, 5484/6924

1. What is the HCF of 2197,5484?

The HCF of 2197,5484 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 2197/432, 5484/6924?

Answer: GCF of Numerators as per given numbers 2197/432, 5484/6924 is

GCF of Numerators i.e. for 2197,5484 is 1

LCM of denominators i.e. for 432,6924 is 249264.

Thus, GCF of Fractions is 1/249264.Finally, GCF of Fractions for 2197/432, 5484/6924 is 1/249264.