How to Find GCF of 8426/200, 6118/4600?

GCF of 8426/200, 6118/4600

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 8426/200, 6118/4600 i.e 2/4600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8426/200, 6118/4600.

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 8426/200,6118/4600?

Given fractions are 8426/200,6118/4600

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 8426/200,6118/4600, numerators are 8426,6118

Denominators are 200,4600

The GCF of 8426,6118 is 2 .

LCM of 200,4600 is 4600.

The greatest common factor of 8426/200,6118/4600 = [GCF of 8426,6118]/[LCM of 200,4600]= 2/4600

Therefore, the GCF of 8426/200,6118/4600 is 2/4600.

Greatest Common Factor of 8426,6118

To find the highest common factor of 8426,6118, we have to find the factors of both numbers and list the highest common factor.

The factors of 8426 are 1, 2, 11, 22, 383, 766, 4213, 8426

The factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118

The HCF of 8426,6118 is 2.

Lets's calculate GCF of 8426,6118

Greatest Common Factor (GCF) of 8426,6118 By Common Division

2	8426, 6118
	4213, 3059

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

Greatest Common Factor of 8426,6118 By Matching Biggest Common Factor Method

Now, list down the factors of 8426

1,2,11,22,383,766,4213,8426

Now, list down the factors of 6118

1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118

Greatest Common Factor

We found the factors 8426,6118 . The biggest common factor number is the GCF number.
So the greatest common factor 8426,6118 is 2.

Lets's calculate LCM of 200,4600

Lowest Common Multiple of 200,4600 using Common Division

2	200, 4600
2	100, 2300
2	50, 1150
5	25, 575
5	5, 115
	1, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 1 x 23 = 4600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4600

Therefore, the GCF of Fractions 8426/200,6118/4600 is 2/4600

Least Common Multiple of 200,4600 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 200,4600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,4600) = 200

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

GCF(200,4600) x common factors =200 x 1 = 200

LCM(200,4600) = ( 200 × 4600 ) / 200

LCM(200,4600) = 920000 / 200

LCM(200,4600) = 4600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8426/200, 6118/4600

1. What is the HCF of 8426,6118?

The HCF of 8426,6118 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 8426/200, 6118/4600?

Answer: GCF of Numerators as per given numbers 8426/200, 6118/4600 is

GCF of Numerators i.e. for 8426,6118 is 2

LCM of denominators i.e. for 200,4600 is 4600.

Thus, GCF of Fractions is 2/4600.Finally, GCF of Fractions for 8426/200, 6118/4600 is 2/4600.