How to Find GCF of 4268/977, 2146/8438?

GCF of 4268/977, 2146/8438

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 4268/977, 2146/8438 i.e 2/8243926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4268/977, 2146/8438.

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 4268/977,2146/8438?

Given fractions are 4268/977,2146/8438

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 4268/977,2146/8438, numerators are 4268,2146

Denominators are 977,8438

The GCF of 4268,2146 is 2 .

LCM of 977,8438 is 8243926.

The greatest common factor of 4268/977,2146/8438 = [GCF of 4268,2146]/[LCM of 977,8438]= 2/8243926

Therefore, the GCF of 4268/977,2146/8438 is 2/8243926.

Greatest Common Factor of 4268,2146

To find the highest common factor of 4268,2146, we have to find the factors of both numbers and list the highest common factor.

The factors of 4268 are 1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134, 4268

The factors of 2146 are 1, 2, 29, 37, 58, 74, 1073, 2146

The HCF of 4268,2146 is 2.

Lets's calculate GCF of 4268,2146

Greatest Common Factor (GCF) of 4268,2146 By Common Division

2	4268, 2146
	2134, 1073

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

Greatest Common Factor of 4268,2146 By Matching Biggest Common Factor Method

Now, list down the factors of 4268

1,2,4,11,22,44,97,194,388,1067,2134,4268

Now, list down the factors of 2146

1,2,29,37,58,74,1073,2146

Greatest Common Factor

We found the factors 4268,2146 . The biggest common factor number is the GCF number.
So the greatest common factor 4268,2146 is 2.

Lets's calculate LCM of 977,8438

Lowest Common Multiple of 977,8438 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8243926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8243926

Therefore, the GCF of Fractions 4268/977,2146/8438 is 2/8243926

Least Common Multiple of 977,8438 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 977,8438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,8438) = 1

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

GCF(977,8438) x common factors =1 x 1 = 1

LCM(977,8438) = ( 977 × 8438 ) / 1

LCM(977,8438) = 8243926 / 1

LCM(977,8438) = 8243926

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4268/977, 2146/8438

1. What is the HCF of 4268,2146?

The HCF of 4268,2146 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 4268/977, 2146/8438?

Answer: GCF of Numerators as per given numbers 4268/977, 2146/8438 is

GCF of Numerators i.e. for 4268,2146 is 2

LCM of denominators i.e. for 977,8438 is 8243926.

Thus, GCF of Fractions is 2/8243926.Finally, GCF of Fractions for 4268/977, 2146/8438 is 2/8243926.