Highest Common Factor of 922, 554, 928, 821 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 922, 554, 928, 821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 922, 554, 928, 821 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 922, 554, 928, 821 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 922, 554, 928, 821 is 1.

HCF(922, 554, 928, 821) = 1

HCF of 922, 554, 928, 821 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 922, 554, 928, 821 is 1.

Highest Common Factor of 922,554,928,821 using Euclid's algorithm

Highest Common Factor of 922,554,928,821 is 1

Step 1: Since 922 > 554, we apply the division lemma to 922 and 554, to get

922 = 554 x 1 + 368

Step 2: Since the reminder 554 ≠ 0, we apply division lemma to 368 and 554, to get

554 = 368 x 1 + 186

Step 3: We consider the new divisor 368 and the new remainder 186, and apply the division lemma to get

368 = 186 x 1 + 182

We consider the new divisor 186 and the new remainder 182,and apply the division lemma to get

186 = 182 x 1 + 4

We consider the new divisor 182 and the new remainder 4,and apply the division lemma to get

182 = 4 x 45 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 922 and 554 is 2

Notice that 2 = HCF(4,2) = HCF(182,4) = HCF(186,182) = HCF(368,186) = HCF(554,368) = HCF(922,554) .

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

Step 1: Since 928 > 2, we apply the division lemma to 928 and 2, to get

928 = 2 x 464 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 928 is 2

Notice that 2 = HCF(928,2) .

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

Step 1: Since 821 > 2, we apply the division lemma to 821 and 2, to get

821 = 2 x 410 + 1

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

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 821 is 1

Notice that 1 = HCF(2,1) = HCF(821,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 922, 554, 928, 821 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 922, 554, 928, 821?

Answer: HCF of 922, 554, 928, 821 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 922, 554, 928, 821 using Euclid's Algorithm?

Answer: For arbitrary numbers 922, 554, 928, 821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.