Highest Common Factor of 892, 555, 351 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 892, 555, 351 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 892, 555, 351 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 892, 555, 351 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 892, 555, 351 is 1.

HCF(892, 555, 351) = 1

HCF of 892, 555, 351 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 892, 555, 351 is 1.

Highest Common Factor of 892,555,351 using Euclid's algorithm

Highest Common Factor of 892,555,351 is 1

Step 1: Since 892 > 555, we apply the division lemma to 892 and 555, to get

892 = 555 x 1 + 337

Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 337 and 555, to get

555 = 337 x 1 + 218

Step 3: We consider the new divisor 337 and the new remainder 218, and apply the division lemma to get

337 = 218 x 1 + 119

We consider the new divisor 218 and the new remainder 119,and apply the division lemma to get

218 = 119 x 1 + 99

We consider the new divisor 119 and the new remainder 99,and apply the division lemma to get

119 = 99 x 1 + 20

We consider the new divisor 99 and the new remainder 20,and apply the division lemma to get

99 = 20 x 4 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 892 and 555 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(99,20) = HCF(119,99) = HCF(218,119) = HCF(337,218) = HCF(555,337) = HCF(892,555) .

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

Step 1: Since 351 > 1, we apply the division lemma to 351 and 1, to get

351 = 1 x 351 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 351 is 1

Notice that 1 = HCF(351,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 892, 555, 351 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 892, 555, 351?

Answer: HCF of 892, 555, 351 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 892, 555, 351 using Euclid's Algorithm?

Answer: For arbitrary numbers 892, 555, 351 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.