How to Find GCF of 36/379, 18/553, 169/402?

GCF of 36/379, 18/553, 169/402

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 36/379, 18/553, 169/402 i.e 1/84253974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/379, 18/553, 169/402.

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 36/379,18/553,169/402?

Given fractions are 36/379,18/553,169/402

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 36/379,18/553,169/402, numerators are 36,18,169

Denominators are 379,553,402

The GCF of 36,18,169 is 1 .

LCM of 379,553,402 is 84253974.

The greatest common factor of 36/379,18/553,169/402 = [GCF of 36,18,169]/[LCM of 379,553,402]= 1/84253974

Therefore, the GCF of 36/379,18/553,169/402 is 1/84253974.

Greatest Common Factor of 36,18,169

To find the highest common factor of 36,18,169, we have to find the factors of both numbers and list the highest common factor.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 18 are 1, 2, 3, 6, 9, 18

The factors of 169 are 1, 13, 169

The HCF of 36,18,169 is 1.

Lets's calculate GCF of 36,18,169

Greatest Common Factor (GCF) of 36,18,169 By Common Division

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

Greatest Common Factor of 36,18,169 By Matching Biggest Common Factor Method

Now, list down the factors of 36

1,2,3,4,6,9,12,18,36

Now, list down the factors of 18

1,2,3,6,9,18

Now, list down the factors of 169

1,13,169

Greatest Common Factor

We found the factors 36,18,169 . The biggest common factor number is the GCF number.
So the greatest common factor 36,18,169 is 1.

Lets's calculate LCM of 379,553,402

Lowest Common Multiple of 379,553,402 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 84253974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84253974

Therefore, the GCF of Fractions 36/379,18/553,169/402 is 1/84253974

Least Common Multiple of 379,553,402 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 379,553,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,553,402) = 1

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

GCF(379,553,402) x common factors =1 x 1 = 1

LCM(379,553,402) = ( 379 × 553 × 402 ) / 1

LCM(379,553,402) = 84253974 / 1

LCM(379,553,402) = 84253974

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 36/379, 18/553, 169/402

1. What is the HCF of 36,18,169?

The HCF of 36,18,169 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 36/379, 18/553, 169/402?

Answer: GCF of Numerators as per given numbers 36/379, 18/553, 169/402 is

GCF of Numerators i.e. for 36,18,169 is 1

LCM of denominators i.e. for 379,553,402 is 84253974.

Thus, GCF of Fractions is 1/84253974.Finally, GCF of Fractions for 36/379, 18/553, 169/402 is 1/84253974.