# Highest Common Factor of 68, 21, 69, 856 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 68, 21, 69, 856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 68, 21, 69, 856 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 68, 21, 69, 856 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 68, 21, 69, 856 is 1.

HCF(68, 21, 69, 856) = 1

## HCF of 68, 21, 69, 856 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 68, 21, 69, 856 is 1. ### Highest Common Factor of 68,21,69,856 is 1

Step 1: Since 68 > 21, we apply the division lemma to 68 and 21, to get

68 = 21 x 3 + 5

Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 5 and 21, to get

21 = 5 x 4 + 1

Step 3: 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 68 and 21 is 1

Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(68,21) .

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

Step 1: Since 69 > 1, we apply the division lemma to 69 and 1, to get

69 = 1 x 69 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69 is 1

Notice that 1 = HCF(69,1) .

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

Step 1: Since 856 > 1, we apply the division lemma to 856 and 1, to get

856 = 1 x 856 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 856 is 1

Notice that 1 = HCF(856,1) .

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### Frequently Asked Questions on HCF of 68, 21, 69, 856 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 68, 21, 69, 856?

Answer: HCF of 68, 21, 69, 856 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 68, 21, 69, 856 using Euclid's Algorithm?

Answer: For arbitrary numbers 68, 21, 69, 856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.