HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 20, 30, 70 i.e. 10 the largest integer that leaves a remainder zero for all numbers.

HCF of 20, 30, 70 is 10 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 20, 30, 70 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 20, 30, 70 is **10**.

HCF(20, 30, 70) = 10

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

Highest common factor (HCF) of 20, 30, 70 is **10**.

**Step 1:** Since 30 > 20, we apply the division lemma to 30 and 20, to get

30 = 20 x 1 + 10

**Step 2:** Since the reminder 20 ≠ 0, we apply division lemma to 10 and 20, to get

20 = 10 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 20 and 30 is 10

Notice that 10 = HCF(20,10) = HCF(30,20) .

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

**Step 1:** Since 70 > 10, we apply the division lemma to 70 and 10, to get

70 = 10 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 10 and 70 is 10

Notice that 10 = HCF(70,10) .

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 20, 30, 70?

Answer: HCF of 20, 30, 70 is 10 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 20, 30, 70 using Euclid's Algorithm?

Answer: For arbitrary numbers 20, 30, 70 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.