Highest Common Factor of 504, 854, 393 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 504, 854, 393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 504, 854, 393 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 504, 854, 393 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 504, 854, 393 is 1.

HCF(504, 854, 393) = 1

HCF of 504, 854, 393 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 504, 854, 393 is 1.

Highest Common Factor of 504,854,393 using Euclid's algorithm

Highest Common Factor of 504,854,393 is 1

Step 1: Since 854 > 504, we apply the division lemma to 854 and 504, to get

854 = 504 x 1 + 350

Step 2: Since the reminder 504 ≠ 0, we apply division lemma to 350 and 504, to get

504 = 350 x 1 + 154

Step 3: We consider the new divisor 350 and the new remainder 154, and apply the division lemma to get

350 = 154 x 2 + 42

We consider the new divisor 154 and the new remainder 42,and apply the division lemma to get

154 = 42 x 3 + 28

We consider the new divisor 42 and the new remainder 28,and apply the division lemma to get

42 = 28 x 1 + 14

We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get

28 = 14 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 504 and 854 is 14

Notice that 14 = HCF(28,14) = HCF(42,28) = HCF(154,42) = HCF(350,154) = HCF(504,350) = HCF(854,504) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 393 > 14, we apply the division lemma to 393 and 14, to get

393 = 14 x 28 + 1

Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 1 and 14, to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 14 and 393 is 1

Notice that 1 = HCF(14,1) = HCF(393,14) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 504, 854, 393 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 504, 854, 393?

Answer: HCF of 504, 854, 393 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 504, 854, 393 using Euclid's Algorithm?

Answer: For arbitrary numbers 504, 854, 393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.