# Highest Common Factor of 240, 260, 370 using Euclid's algorithm

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

## HCF of 240, 260, 370 using Euclid's algorithm

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

HCF of:

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

### Highest Common Factor of 240,260,370 using Euclid's algorithm

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) .

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### Frequently Asked Questions on HCF of 240, 260, 370 using Euclid's Algorithm

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.