How to Find GCF of 116/28, 300/835?

GCF of 116/28, 300/835

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 116/28, 300/835 i.e 4/23380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 116/28, 300/835.

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 116/28,300/835?

Given fractions are 116/28,300/835

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 116/28,300/835, numerators are 116,300

Denominators are 28,835

The GCF of 116,300 is 4 .

LCM of 28,835 is 23380.

The greatest common factor of 116/28,300/835 = [GCF of 116,300]/[LCM of 28,835]= 4/23380

Therefore, the GCF of 116/28,300/835 is 4/23380.

Greatest Common Factor of 116,300

To find the highest common factor of 116,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 116 are 1, 2, 4, 29, 58, 116

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

The HCF of 116,300 is 4.

Lets's calculate GCF of 116,300

Greatest Common Factor (GCF) of 116,300 By Common Division

2	116, 300
2	58, 150
	29, 75

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 116,300 By Matching Biggest Common Factor Method

Now, list down the factors of 116

1,2,4,29,58,116

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

Greatest Common Factor

We found the factors 116,300 . The biggest common factor number is the GCF number.
So the greatest common factor 116,300 is 4.

Lets's calculate LCM of 28,835

Lowest Common Multiple of 28,835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23380

Therefore, the GCF of Fractions 116/28,300/835 is 4/23380

Least Common Multiple of 28,835 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 28,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,835) = 1

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

GCF(28,835) x common factors =1 x 1 = 1

LCM(28,835) = ( 28 × 835 ) / 1

LCM(28,835) = 23380 / 1

LCM(28,835) = 23380

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FAQs on GCF of Fractions of 116/28, 300/835

1. What is the HCF of 116,300?

The HCF of 116,300 is 4

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 116/28, 300/835?

Answer: GCF of Numerators as per given numbers 116/28, 300/835 is

GCF of Numerators i.e. for 116,300 is 4

LCM of denominators i.e. for 28,835 is 23380.

Thus, GCF of Fractions is 4/23380.Finally, GCF of Fractions for 116/28, 300/835 is 4/23380.