Highest Common Factor of 431, 670, 46, 804 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 431, 670, 46, 804 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 431, 670, 46, 804 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 431, 670, 46, 804 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 431, 670, 46, 804 is 1.

HCF(431, 670, 46, 804) = 1

HCF of 431, 670, 46, 804 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 431, 670, 46, 804 is 1.

Highest Common Factor of 431,670,46,804 using Euclid's algorithm

Highest Common Factor of 431,670,46,804 is 1

Step 1: Since 670 > 431, we apply the division lemma to 670 and 431, to get

670 = 431 x 1 + 239

Step 2: Since the reminder 431 ≠ 0, we apply division lemma to 239 and 431, to get

431 = 239 x 1 + 192

Step 3: We consider the new divisor 239 and the new remainder 192, and apply the division lemma to get

239 = 192 x 1 + 47

We consider the new divisor 192 and the new remainder 47,and apply the division lemma to get

192 = 47 x 4 + 4

We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get

47 = 4 x 11 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 431 and 670 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(192,47) = HCF(239,192) = HCF(431,239) = HCF(670,431) .

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

Step 1: Since 46 > 1, we apply the division lemma to 46 and 1, to get

46 = 1 x 46 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46 is 1

Notice that 1 = HCF(46,1) .

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

Step 1: Since 804 > 1, we apply the division lemma to 804 and 1, to get

804 = 1 x 804 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 804 is 1

Notice that 1 = HCF(804,1) .

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Frequently Asked Questions on HCF of 431, 670, 46, 804 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 431, 670, 46, 804?

Answer: HCF of 431, 670, 46, 804 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 431, 670, 46, 804 using Euclid's Algorithm?

Answer: For arbitrary numbers 431, 670, 46, 804 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.