How to Find GCF of 300/370, 8353/896?

GCF of 300/370, 8353/896

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 300/370, 8353/896 i.e 1/165760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 300/370, 8353/896.

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 300/370,8353/896?

Given fractions are 300/370,8353/896

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 300/370,8353/896, numerators are 300,8353

Denominators are 370,896

The GCF of 300,8353 is 1 .

LCM of 370,896 is 165760.

The greatest common factor of 300/370,8353/896 = [GCF of 300,8353]/[LCM of 370,896]= 1/165760

Therefore, the GCF of 300/370,8353/896 is 1/165760.

Greatest Common Factor of 300,8353

To find the highest common factor of 300,8353, we have to find the factors of both numbers and list the highest common factor.

The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The factors of 8353 are 1, 8353

The HCF of 300,8353 is 1.

Lets's calculate GCF of 300,8353

Greatest Common Factor (GCF) of 300,8353 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 300,8353 By Matching Biggest Common Factor Method

Now, list down the factors of 300

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Now, list down the factors of 8353

1,8353

Greatest Common Factor

We found the factors 300,8353 . The biggest common factor number is the GCF number.
So the greatest common factor 300,8353 is 1.

Lets's calculate LCM of 370,896

Lowest Common Multiple of 370,896 using Common Division

2	370, 896
	185, 448

∴ So the LCM of the given numbers is 2 x 185 x 448 = 165760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165760

Therefore, the GCF of Fractions 300/370,8353/896 is 1/165760

Least Common Multiple of 370,896 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 370,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,896) = 2

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

GCF(370,896) x common factors =2 x 1 = 2

LCM(370,896) = ( 370 × 896 ) / 2

LCM(370,896) = 331520 / 2

LCM(370,896) = 165760

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FAQs on GCF of Fractions of 300/370, 8353/896

1. What is the HCF of 300,8353?

The HCF of 300,8353 is 1

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 300/370, 8353/896?

Answer: GCF of Numerators as per given numbers 300/370, 8353/896 is

GCF of Numerators i.e. for 300,8353 is 1

LCM of denominators i.e. for 370,896 is 165760.

Thus, GCF of Fractions is 1/165760.Finally, GCF of Fractions for 300/370, 8353/896 is 1/165760.