Highest Common Factor of 922, 573 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, 573 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 922, 573 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, 573 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, 573 is 1.

HCF(922, 573) = 1

HCF of 922, 573 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, 573 is 1.

Highest Common Factor of 922,573 using Euclid's algorithm

Highest Common Factor of 922,573 is 1

Step 1: Since 922 > 573, we apply the division lemma to 922 and 573, to get

922 = 573 x 1 + 349

Step 2: Since the reminder 573 ≠ 0, we apply division lemma to 349 and 573, to get

573 = 349 x 1 + 224

Step 3: We consider the new divisor 349 and the new remainder 224, and apply the division lemma to get

349 = 224 x 1 + 125

We consider the new divisor 224 and the new remainder 125,and apply the division lemma to get

224 = 125 x 1 + 99

We consider the new divisor 125 and the new remainder 99,and apply the division lemma to get

125 = 99 x 1 + 26

We consider the new divisor 99 and the new remainder 26,and apply the division lemma to get

99 = 26 x 3 + 21

We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get

26 = 21 x 1 + 5

We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get

21 = 5 x 4 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 922 and 573 is 1

Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(99,26) = HCF(125,99) = HCF(224,125) = HCF(349,224) = HCF(573,349) = HCF(922,573) .

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Frequently Asked Questions on HCF of 922, 573 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, 573?

Answer: HCF of 922, 573 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 922, 573 using Euclid's Algorithm?

Answer: For arbitrary numbers 922, 573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.