How to Find GCF of 886/354, 8232/582?

GCF of 886/354, 8232/582

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 886/354, 8232/582 i.e 2/34338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/354, 8232/582.

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 886/354,8232/582?

Given fractions are 886/354,8232/582

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 886/354,8232/582, numerators are 886,8232

Denominators are 354,582

The GCF of 886,8232 is 2 .

LCM of 354,582 is 34338.

The greatest common factor of 886/354,8232/582 = [GCF of 886,8232]/[LCM of 354,582]= 2/34338

Therefore, the GCF of 886/354,8232/582 is 2/34338.

Greatest Common Factor of 886,8232

To find the highest common factor of 886,8232, 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 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232

The HCF of 886,8232 is 2.

Lets's calculate GCF of 886,8232

Greatest Common Factor (GCF) of 886,8232 By Common Division

2	886, 8232
	443, 4116

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 886,8232 By Matching Biggest Common Factor Method

Now, list down the factors of 886

1,2,443,886

Now, list down the factors of 8232

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232

Greatest Common Factor

We found the factors 886,8232 . The biggest common factor number is the GCF number.
So the greatest common factor 886,8232 is 2.

Lets's calculate LCM of 354,582

Lowest Common Multiple of 354,582 using Common Division

2	354, 582
3	177, 291
	59, 97

∴ So the LCM of the given numbers is 2 x 3 x 59 x 97 = 34338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34338

Therefore, the GCF of Fractions 886/354,8232/582 is 2/34338

Least Common Multiple of 354,582 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 354,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,582) = 6

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

GCF(354,582) x common factors =6 x 1 = 6

LCM(354,582) = ( 354 × 582 ) / 6

LCM(354,582) = 206028 / 6

LCM(354,582) = 34338

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FAQs on GCF of Fractions of 886/354, 8232/582

1. What is the HCF of 886,8232?

The HCF of 886,8232 is 2

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 886/354, 8232/582?

Answer: GCF of Numerators as per given numbers 886/354, 8232/582 is

GCF of Numerators i.e. for 886,8232 is 2

LCM of denominators i.e. for 354,582 is 34338.

Thus, GCF of Fractions is 2/34338.Finally, GCF of Fractions for 886/354, 8232/582 is 2/34338.