How to Find GCF of 20/475, 7398/6356?

GCF of 20/475, 7398/6356

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 20/475, 7398/6356 i.e 2/3019100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/475, 7398/6356.

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 20/475,7398/6356?

Given fractions are 20/475,7398/6356

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 20/475,7398/6356, numerators are 20,7398

Denominators are 475,6356

The GCF of 20,7398 is 2 .

LCM of 475,6356 is 3019100.

The greatest common factor of 20/475,7398/6356 = [GCF of 20,7398]/[LCM of 475,6356]= 2/3019100

Therefore, the GCF of 20/475,7398/6356 is 2/3019100.

Greatest Common Factor of 20,7398

To find the highest common factor of 20,7398, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398

The HCF of 20,7398 is 2.

Lets's calculate GCF of 20,7398

Greatest Common Factor (GCF) of 20,7398 By Common Division

2	20, 7398
	10, 3699

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

Greatest Common Factor of 20,7398 By Matching Biggest Common Factor Method

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 7398

1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398

Greatest Common Factor

We found the factors 20,7398 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7398 is 2.

Lets's calculate LCM of 475,6356

Lowest Common Multiple of 475,6356 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3019100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3019100

Therefore, the GCF of Fractions 20/475,7398/6356 is 2/3019100

Least Common Multiple of 475,6356 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 475,6356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,6356) = 1

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

GCF(475,6356) x common factors =1 x 1 = 1

LCM(475,6356) = ( 475 × 6356 ) / 1

LCM(475,6356) = 3019100 / 1

LCM(475,6356) = 3019100

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FAQs on GCF of Fractions of 20/475, 7398/6356

1. What is the HCF of 20,7398?

The HCF of 20,7398 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 20/475, 7398/6356?

Answer: GCF of Numerators as per given numbers 20/475, 7398/6356 is

GCF of Numerators i.e. for 20,7398 is 2

LCM of denominators i.e. for 475,6356 is 3019100.

Thus, GCF of Fractions is 2/3019100.Finally, GCF of Fractions for 20/475, 7398/6356 is 2/3019100.