Highest Common Factor of 492, 604, 213, 634 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 492, 604, 213, 634 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 492, 604, 213, 634 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 492, 604, 213, 634 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 492, 604, 213, 634 is 1.

HCF(492, 604, 213, 634) = 1

HCF of 492, 604, 213, 634 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 492, 604, 213, 634 is 1.

Highest Common Factor of 492,604,213,634 using Euclid's algorithm

Highest Common Factor of 492,604,213,634 is 1

Step 1: Since 604 > 492, we apply the division lemma to 604 and 492, to get

604 = 492 x 1 + 112

Step 2: Since the reminder 492 ≠ 0, we apply division lemma to 112 and 492, to get

492 = 112 x 4 + 44

Step 3: We consider the new divisor 112 and the new remainder 44, and apply the division lemma to get

112 = 44 x 2 + 24

We consider the new divisor 44 and the new remainder 24,and apply the division lemma to get

44 = 24 x 1 + 20

We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get

24 = 20 x 1 + 4

We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get

20 = 4 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 492 and 604 is 4

Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(44,24) = HCF(112,44) = HCF(492,112) = HCF(604,492) .

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

Step 1: Since 213 > 4, we apply the division lemma to 213 and 4, to get

213 = 4 x 53 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 213 is 1

Notice that 1 = HCF(4,1) = HCF(213,4) .

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

Step 1: Since 634 > 1, we apply the division lemma to 634 and 1, to get

634 = 1 x 634 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 634 is 1

Notice that 1 = HCF(634,1) .

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Frequently Asked Questions on HCF of 492, 604, 213, 634 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 492, 604, 213, 634?

Answer: HCF of 492, 604, 213, 634 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 492, 604, 213, 634 using Euclid's Algorithm?

Answer: For arbitrary numbers 492, 604, 213, 634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.