How to Find GCF of 886/28, 321/92, 609/77?

GCF of 886/28, 321/92, 609/77

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 886/28, 321/92, 609/77 i.e 1/7084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/28, 321/92, 609/77.

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 886/28,321/92,609/77?

Given fractions are 886/28,321/92,609/77

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 886/28,321/92,609/77, numerators are 886,321,609

Denominators are 28,92,77

The GCF of 886,321,609 is 1 .

LCM of 28,92,77 is 7084.

The greatest common factor of 886/28,321/92,609/77 = [GCF of 886,321,609]/[LCM of 28,92,77]= 1/7084

Therefore, the GCF of 886/28,321/92,609/77 is 1/7084.

Greatest Common Factor of 886,321,609

To find the highest common factor of 886,321,609, we have to find the factors of both numbers and list the highest common factor.

The factors of 886 are 1, 2, 443, 886

The factors of 321 are 1, 3, 107, 321

The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609

The HCF of 886,321,609 is 1.

Lets's calculate GCF of 886,321,609

Greatest Common Factor (GCF) of 886,321,609 By Common Division

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

Greatest Common Factor of 886,321,609 By Matching Biggest Common Factor Method

Now, list down the factors of 886

1,2,443,886

Now, list down the factors of 321

1,3,107,321

Now, list down the factors of 609

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 886,321,609 . The biggest common factor number is the GCF number.
So the greatest common factor 886,321,609 is 1.

Lets's calculate LCM of 28,92,77

Lowest Common Multiple of 28,92,77 using Common Division

2	28, 92, 77
2	14, 46, 77
7	7, 23, 77
	1, 23, 11

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 23 x 11 = 7084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7084

Therefore, the GCF of Fractions 886/28,321/92,609/77 is 1/7084

Least Common Multiple of 28,92,77 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 28,92,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,92,77) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(28,92,77) x common factors =1 x 28 = 28

LCM(28,92,77) = ( 28 × 92 × 77 ) / 28

LCM(28,92,77) = 198352 / 28

LCM(28,92,77) = 7084

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 886/28, 321/92, 609/77

1. What is the HCF of 886,321,609?

The HCF of 886,321,609 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 886/28, 321/92, 609/77?

Answer: GCF of Numerators as per given numbers 886/28, 321/92, 609/77 is

GCF of Numerators i.e. for 886,321,609 is 1

LCM of denominators i.e. for 28,92,77 is 7084.

Thus, GCF of Fractions is 1/7084.Finally, GCF of Fractions for 886/28, 321/92, 609/77 is 1/7084.