How to Find GCF of 820/42, 836/1187?

GCF of 820/42, 836/1187

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 820/42, 836/1187 i.e 4/49854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 820/42, 836/1187.

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 820/42,836/1187?

Given fractions are 820/42,836/1187

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 820/42,836/1187, numerators are 820,836

Denominators are 42,1187

The GCF of 820,836 is 4 .

LCM of 42,1187 is 49854.

The greatest common factor of 820/42,836/1187 = [GCF of 820,836]/[LCM of 42,1187]= 4/49854

Therefore, the GCF of 820/42,836/1187 is 4/49854.

Greatest Common Factor of 820,836

To find the highest common factor of 820,836, we have to find the factors of both numbers and list the highest common factor.

The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

The HCF of 820,836 is 4.

Lets's calculate GCF of 820,836

Greatest Common Factor (GCF) of 820,836 By Common Division

2	820, 836
2	410, 418
	205, 209

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

Greatest Common Factor of 820,836 By Matching Biggest Common Factor Method

Now, list down the factors of 820

1,2,4,5,10,20,41,82,164,205,410,820

Now, list down the factors of 836

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 820,836 . The biggest common factor number is the GCF number.
So the greatest common factor 820,836 is 4.

Lets's calculate LCM of 42,1187

Lowest Common Multiple of 42,1187 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/49854

Therefore, the GCF of Fractions 820/42,836/1187 is 4/49854

Least Common Multiple of 42,1187 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 42,1187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,1187) = 1

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

GCF(42,1187) x common factors =1 x 1 = 1

LCM(42,1187) = ( 42 × 1187 ) / 1

LCM(42,1187) = 49854 / 1

LCM(42,1187) = 49854

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 820/42, 836/1187

1. What is the HCF of 820,836?

The HCF of 820,836 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 820/42, 836/1187?

Answer: GCF of Numerators as per given numbers 820/42, 836/1187 is

GCF of Numerators i.e. for 820,836 is 4

LCM of denominators i.e. for 42,1187 is 49854.

Thus, GCF of Fractions is 4/49854.Finally, GCF of Fractions for 820/42, 836/1187 is 4/49854.