Highest Common Factor of 467, 634, 784, 101 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 467, 634, 784, 101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 467, 634, 784, 101 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 467, 634, 784, 101 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 467, 634, 784, 101 is 1.

HCF(467, 634, 784, 101) = 1

HCF of 467, 634, 784, 101 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 467, 634, 784, 101 is 1.

Highest Common Factor of 467,634,784,101 using Euclid's algorithm

Highest Common Factor of 467,634,784,101 is 1

Step 1: Since 634 > 467, we apply the division lemma to 634 and 467, to get

634 = 467 x 1 + 167

Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 167 and 467, to get

467 = 167 x 2 + 133

Step 3: We consider the new divisor 167 and the new remainder 133, and apply the division lemma to get

167 = 133 x 1 + 34

We consider the new divisor 133 and the new remainder 34,and apply the division lemma to get

133 = 34 x 3 + 31

We consider the new divisor 34 and the new remainder 31,and apply the division lemma to get

34 = 31 x 1 + 3

We consider the new divisor 31 and the new remainder 3,and apply the division lemma to get

31 = 3 x 10 + 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 467 and 634 is 1

Notice that 1 = HCF(3,1) = HCF(31,3) = HCF(34,31) = HCF(133,34) = HCF(167,133) = HCF(467,167) = HCF(634,467) .

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

Step 1: Since 784 > 1, we apply the division lemma to 784 and 1, to get

784 = 1 x 784 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 784 is 1

Notice that 1 = HCF(784,1) .

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

Step 1: Since 101 > 1, we apply the division lemma to 101 and 1, to get

101 = 1 x 101 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 101 is 1

Notice that 1 = HCF(101,1) .

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Frequently Asked Questions on HCF of 467, 634, 784, 101 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 467, 634, 784, 101?

Answer: HCF of 467, 634, 784, 101 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 467, 634, 784, 101 using Euclid's Algorithm?

Answer: For arbitrary numbers 467, 634, 784, 101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.