Highest Common Factor of 84, 97, 678, 836 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 84, 97, 678, 836 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 84, 97, 678, 836 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 84, 97, 678, 836 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 84, 97, 678, 836 is 1.

HCF(84, 97, 678, 836) = 1

HCF of 84, 97, 678, 836 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 84, 97, 678, 836 is 1.

Highest Common Factor of 84,97,678,836 using Euclid's algorithm

Highest Common Factor of 84,97,678,836 is 1

Step 1: Since 97 > 84, we apply the division lemma to 97 and 84, to get

97 = 84 x 1 + 13

Step 2: Since the reminder 84 ≠ 0, we apply division lemma to 13 and 84, to get

84 = 13 x 6 + 6

Step 3: We consider the new divisor 13 and the new remainder 6, and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 84 and 97 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(84,13) = HCF(97,84) .

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

Step 1: Since 678 > 1, we apply the division lemma to 678 and 1, to get

678 = 1 x 678 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 678 is 1

Notice that 1 = HCF(678,1) .

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

Step 1: Since 836 > 1, we apply the division lemma to 836 and 1, to get

836 = 1 x 836 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 836 is 1

Notice that 1 = HCF(836,1) .

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Frequently Asked Questions on HCF of 84, 97, 678, 836 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 84, 97, 678, 836?

Answer: HCF of 84, 97, 678, 836 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 84, 97, 678, 836 using Euclid's Algorithm?

Answer: For arbitrary numbers 84, 97, 678, 836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.