How to Find GCF of 92/86, 51/915, 562/286?

GCF of 92/86, 51/915, 562/286

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 92/86, 51/915, 562/286 i.e 1/11252670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/86, 51/915, 562/286.

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 92/86,51/915,562/286?

Given fractions are 92/86,51/915,562/286

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 92/86,51/915,562/286, numerators are 92,51,562

Denominators are 86,915,286

The GCF of 92,51,562 is 1 .

LCM of 86,915,286 is 11252670.

The greatest common factor of 92/86,51/915,562/286 = [GCF of 92,51,562]/[LCM of 86,915,286]= 1/11252670

Therefore, the GCF of 92/86,51/915,562/286 is 1/11252670.

Greatest Common Factor of 92,51,562

To find the highest common factor of 92,51,562, 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 51 are 1, 3, 17, 51

The factors of 562 are 1, 2, 281, 562

The HCF of 92,51,562 is 1.

Lets's calculate GCF of 92,51,562

Greatest Common Factor (GCF) of 92,51,562 By Common Division

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

Greatest Common Factor of 92,51,562 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 51

1,3,17,51

Now, list down the factors of 562

1,2,281,562

Greatest Common Factor

We found the factors 92,51,562 . The biggest common factor number is the GCF number.
So the greatest common factor 92,51,562 is 1.

Lets's calculate LCM of 86,915,286

Lowest Common Multiple of 86,915,286 using Common Division

2	86, 915, 286
	43, 915, 143

∴ So the LCM of the given numbers is 2 x 43 x 915 x 143 = 11252670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11252670

Therefore, the GCF of Fractions 92/86,51/915,562/286 is 1/11252670

Least Common Multiple of 86,915,286 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 86,915,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,915,286) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,915,286) x common factors =1 x 2 = 2

LCM(86,915,286) = ( 86 × 915 × 286 ) / 2

LCM(86,915,286) = 22505340 / 2

LCM(86,915,286) = 11252670

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FAQs on GCF of Fractions of 92/86, 51/915, 562/286

1. What is the HCF of 92,51,562?

The HCF of 92,51,562 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 92/86, 51/915, 562/286?

Answer: GCF of Numerators as per given numbers 92/86, 51/915, 562/286 is

GCF of Numerators i.e. for 92,51,562 is 1

LCM of denominators i.e. for 86,915,286 is 11252670.

Thus, GCF of Fractions is 1/11252670.Finally, GCF of Fractions for 92/86, 51/915, 562/286 is 1/11252670.