**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 825, 814, 876, 399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 825, 814, 876, 399 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 825, 814, 876, 399 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 825, 814, 876, 399 is **1**.

HCF(825, 814, 876, 399) = 1

*Highest common factor* or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

Highest common factor (HCF) of 825, 814, 876, 399 is **1**.

**Step 1:** Since 825 > 814, we apply the division lemma to 825 and 814, to get

825 = 814 x 1 + 11

**Step 2:** Since the reminder 814 ≠ 0, we apply division lemma to 11 and 814, to get

814 = 11 x 74 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 825 and 814 is 11

Notice that 11 = HCF(814,11) = HCF(825,814) .

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

**Step 1:** Since 876 > 11, we apply the division lemma to 876 and 11, to get

876 = 11 x 79 + 7

**Step 2:** Since the reminder 11 ≠ 0, we apply division lemma to 7 and 11, to get

11 = 7 x 1 + 4

**Step 3:** We consider the new divisor 7 and the new remainder 4, and apply the division lemma to get

7 = 4 x 1 + 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 11 and 876 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(876,11) .

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

**Step 1:** Since 399 > 1, we apply the division lemma to 399 and 1, to get

399 = 1 x 399 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 399 is 1

Notice that 1 = HCF(399,1) .

Here are some samples of HCF using Euclid's Algorithm calculations.

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 825, 814, 876, 399?

Answer: HCF of 825, 814, 876, 399 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 825, 814, 876, 399 using Euclid's Algorithm?

Answer: For arbitrary numbers 825, 814, 876, 399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.