HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 26, 39, 52 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 26, 39, 52 is 13 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 26, 39, 52 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 26, 39, 52 is **13**.

HCF(26, 39, 52) = 13

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

Highest common factor (HCF) of 26, 39, 52 is **13**.

**Step 1:** Since 39 > 26, we apply the division lemma to 39 and 26, to get

39 = 26 x 1 + 13

**Step 2:** Since the reminder 26 ≠ 0, we apply division lemma to 13 and 26, to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 26 and 39 is 13

Notice that 13 = HCF(26,13) = HCF(39,26) .

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

**Step 1:** Since 52 > 13, we apply the division lemma to 52 and 13, to get

52 = 13 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 13 and 52 is 13

Notice that 13 = HCF(52,13) .

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 26, 39, 52?

Answer: HCF of 26, 39, 52 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 26, 39, 52 using Euclid's Algorithm?

Answer: For arbitrary numbers 26, 39, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.