**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 99, 43, 83, 895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 99, 43, 83, 895 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 99, 43, 83, 895 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 99, 43, 83, 895 is **1**.

HCF(99, 43, 83, 895) = 1

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

Highest common factor (HCF) of 99, 43, 83, 895 is **1**.

**Step 1:** Since 99 > 43, we apply the division lemma to 99 and 43, to get

99 = 43 x 2 + 13

**Step 2:** Since the reminder 43 ≠ 0, we apply division lemma to 13 and 43, to get

43 = 13 x 3 + 4

**Step 3:** We consider the new divisor 13 and the new remainder 4, and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 99 and 43 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(43,13) = HCF(99,43) .

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

**Step 1:** Since 83 > 1, we apply the division lemma to 83 and 1, to get

83 = 1 x 83 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83 is 1

Notice that 1 = HCF(83,1) .

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

**Step 1:** Since 895 > 1, we apply the division lemma to 895 and 1, to get

895 = 1 x 895 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 895 is 1

Notice that 1 = HCF(895,1) .

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 99, 43, 83, 895?

Answer: HCF of 99, 43, 83, 895 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 99, 43, 83, 895 using Euclid's Algorithm?

Answer: For arbitrary numbers 99, 43, 83, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.