How to Find GCF of 92/116, 520/819, 821/715?

GCF of 92/116, 520/819, 821/715

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 92/116, 520/819, 821/715 i.e 1/5225220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/116, 520/819, 821/715.

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 92/116,520/819,821/715?

Given fractions are 92/116,520/819,821/715

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 92/116,520/819,821/715, numerators are 92,520,821

Denominators are 116,819,715

The GCF of 92,520,821 is 1 .

LCM of 116,819,715 is 5225220.

The greatest common factor of 92/116,520/819,821/715 = [GCF of 92,520,821]/[LCM of 116,819,715]= 1/5225220

Therefore, the GCF of 92/116,520/819,821/715 is 1/5225220.

Greatest Common Factor of 92,520,821

To find the highest common factor of 92,520,821, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The factors of 821 are 1, 821

The HCF of 92,520,821 is 1.

Lets's calculate GCF of 92,520,821

Greatest Common Factor (GCF) of 92,520,821 By Common Division

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

Greatest Common Factor of 92,520,821 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 520

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Now, list down the factors of 821

1,821

Greatest Common Factor

We found the factors 92,520,821 . The biggest common factor number is the GCF number.
So the greatest common factor 92,520,821 is 1.

Lets's calculate LCM of 116,819,715

Lowest Common Multiple of 116,819,715 using Common Division

13	116, 819, 715
	116, 63, 55

∴ So the LCM of the given numbers is 13 x 116 x 63 x 55 = 5225220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5225220

Therefore, the GCF of Fractions 92/116,520/819,821/715 is 1/5225220

Least Common Multiple of 116,819,715 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 116,819,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,819,715) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(116,819,715) x common factors =1 x 13 = 13

LCM(116,819,715) = ( 116 × 819 × 715 ) / 13

LCM(116,819,715) = 67927860 / 13

LCM(116,819,715) = 5225220

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 92/116, 520/819, 821/715

1. What is the HCF of 92,520,821?

The HCF of 92,520,821 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 92/116, 520/819, 821/715?

Answer: GCF of Numerators as per given numbers 92/116, 520/819, 821/715 is

GCF of Numerators i.e. for 92,520,821 is 1

LCM of denominators i.e. for 116,819,715 is 5225220.

Thus, GCF of Fractions is 1/5225220.Finally, GCF of Fractions for 92/116, 520/819, 821/715 is 1/5225220.