How to Find GCF of 2197/520, 6812/9116?

GCF of 2197/520, 6812/9116

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 2197/520, 6812/9116 i.e 13/1185080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2197/520, 6812/9116.

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 2197/520,6812/9116?

Given fractions are 2197/520,6812/9116

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 2197/520,6812/9116, numerators are 2197,6812

Denominators are 520,9116

The GCF of 2197,6812 is 13 .

LCM of 520,9116 is 1185080.

The greatest common factor of 2197/520,6812/9116 = [GCF of 2197,6812]/[LCM of 520,9116]= 13/1185080

Therefore, the GCF of 2197/520,6812/9116 is 13/1185080.

Greatest Common Factor of 2197,6812

To find the highest common factor of 2197,6812, 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 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812

The HCF of 2197,6812 is 13.

Lets's calculate GCF of 2197,6812

Greatest Common Factor (GCF) of 2197,6812 By Common Division

13	2197, 6812
	169, 524

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2197,6812 By Matching Biggest Common Factor Method

Now, list down the factors of 2197

1,13,169,2197

Now, list down the factors of 6812

1,2,4,13,26,52,131,262,524,1703,3406,6812

Greatest Common Factor

We found the factors 2197,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 2197,6812 is 13.

Lets's calculate LCM of 520,9116

Lowest Common Multiple of 520,9116 using Common Division

2	520, 9116
2	260, 4558
	130, 2279

∴ So the LCM of the given numbers is 2 x 2 x 130 x 2279 = 1185080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1185080

Therefore, the GCF of Fractions 2197/520,6812/9116 is 13/1185080

Least Common Multiple of 520,9116 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 520,9116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,9116) = 4

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

GCF(520,9116) x common factors =4 x 1 = 4

LCM(520,9116) = ( 520 × 9116 ) / 4

LCM(520,9116) = 4740320 / 4

LCM(520,9116) = 1185080

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2197/520, 6812/9116

1. What is the HCF of 2197,6812?

The HCF of 2197,6812 is 13

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 2197/520, 6812/9116?

Answer: GCF of Numerators as per given numbers 2197/520, 6812/9116 is

GCF of Numerators i.e. for 2197,6812 is 13

LCM of denominators i.e. for 520,9116 is 1185080.

Thus, GCF of Fractions is 13/1185080.Finally, GCF of Fractions for 2197/520, 6812/9116 is 13/1185080.