HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 240, 260, 370 i.e. 10 the largest integer that leaves a remainder zero for all numbers.

HCF of 240, 260, 370 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 240, 260, 370 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 240, 260, 370 is **10**.

HCF(240, 260, 370) = 10

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

Highest common factor (HCF) of 240, 260, 370 is **10**.

**Step 1:** Since 260 > 240, we apply the division lemma to 260 and 240, to get

260 = 240 x 1 + 20

**Step 2:** Since the reminder 240 ≠ 0, we apply division lemma to 20 and 240, to get

240 = 20 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 240 and 260 is 20

Notice that 20 = HCF(240,20) = HCF(260,240) .

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

**Step 1:** Since 370 > 20, we apply the division lemma to 370 and 20, to get

370 = 20 x 18 + 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 370 is 10

Notice that 10 = HCF(20,10) = HCF(370,20) .

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 240, 260, 370?

Answer: HCF of 240, 260, 370 is 10 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 240, 260, 370 using Euclid's Algorithm?

Answer: For arbitrary numbers 240, 260, 370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.