How to Find GCF of 3238/262, 2156/6812?

GCF of 3238/262, 2156/6812

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 3238/262, 2156/6812 i.e 2/6812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3238/262, 2156/6812.

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 3238/262,2156/6812?

Given fractions are 3238/262,2156/6812

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 3238/262,2156/6812, numerators are 3238,2156

Denominators are 262,6812

The GCF of 3238,2156 is 2 .

LCM of 262,6812 is 6812.

The greatest common factor of 3238/262,2156/6812 = [GCF of 3238,2156]/[LCM of 262,6812]= 2/6812

Therefore, the GCF of 3238/262,2156/6812 is 2/6812.

Greatest Common Factor of 3238,2156

To find the highest common factor of 3238,2156, we have to find the factors of both numbers and list the highest common factor.

The factors of 3238 are 1, 2, 1619, 3238

The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156

The HCF of 3238,2156 is 2.

Lets's calculate GCF of 3238,2156

Greatest Common Factor (GCF) of 3238,2156 By Common Division

2	3238, 2156
	1619, 1078

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

Greatest Common Factor of 3238,2156 By Matching Biggest Common Factor Method

Now, list down the factors of 3238

1,2,1619,3238

Now, list down the factors of 2156

1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156

Greatest Common Factor

We found the factors 3238,2156 . The biggest common factor number is the GCF number.
So the greatest common factor 3238,2156 is 2.

Lets's calculate LCM of 262,6812

Lowest Common Multiple of 262,6812 using Common Division

2	262, 6812
131	131, 3406
	1, 26

∴ So the LCM of the given numbers is 2 x 131 x 1 x 26 = 6812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6812

Therefore, the GCF of Fractions 3238/262,2156/6812 is 2/6812

Least Common Multiple of 262,6812 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 262,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,6812) = 262

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

GCF(262,6812) x common factors =262 x 1 = 262

LCM(262,6812) = ( 262 × 6812 ) / 262

LCM(262,6812) = 1784744 / 262

LCM(262,6812) = 6812

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FAQs on GCF of Fractions of 3238/262, 2156/6812

1. What is the HCF of 3238,2156?

The HCF of 3238,2156 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 3238/262, 2156/6812?

Answer: GCF of Numerators as per given numbers 3238/262, 2156/6812 is

GCF of Numerators i.e. for 3238,2156 is 2

LCM of denominators i.e. for 262,6812 is 6812.

Thus, GCF of Fractions is 2/6812.Finally, GCF of Fractions for 3238/262, 2156/6812 is 2/6812.