# Highest Common Factor of 74, 24, 36, 207 using Euclid's algorithm

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 74, 24, 36, 207 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 74, 24, 36, 207 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 74, 24, 36, 207 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 74, 24, 36, 207 is 1.

HCF(74, 24, 36, 207) = 1

## HCF of 74, 24, 36, 207 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 74, 24, 36, 207 is 1. ### Highest Common Factor of 74,24,36,207 is 1

Step 1: Since 74 > 24, we apply the division lemma to 74 and 24, to get

74 = 24 x 3 + 2

Step 2: Since the reminder 24 ≠ 0, we apply division lemma to 2 and 24, to get

24 = 2 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 74 and 24 is 2

Notice that 2 = HCF(24,2) = HCF(74,24) .

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

Step 1: Since 36 > 2, we apply the division lemma to 36 and 2, to get

36 = 2 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 36 is 2

Notice that 2 = HCF(36,2) .

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

Step 1: Since 207 > 2, we apply the division lemma to 207 and 2, to get

207 = 2 x 103 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 207 is 1

Notice that 1 = HCF(2,1) = HCF(207,2) .

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### Frequently Asked Questions on HCF of 74, 24, 36, 207 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 74, 24, 36, 207?

Answer: HCF of 74, 24, 36, 207 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 74, 24, 36, 207 using Euclid's Algorithm?

Answer: For arbitrary numbers 74, 24, 36, 207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.