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Highest Common Factor of 24, 32, 52, 72 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 24, 32, 52, 72 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 24, 32, 52, 72 is 4 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 24, 32, 52, 72 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 24, 32, 52, 72 is 4.

HCF(24, 32, 52, 72) = 4

HCF of 24, 32, 52, 72 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 24, 32, 52, 72 is 4.

Highest Common Factor of 24,32,52,72 using Euclid's algorithm

Step 1: Since 32 > 24, we apply the division lemma to 32 and 24, to get

32 = 24 x 1 + 8

Step 2: Since the reminder 24 ≠ 0, we apply division lemma to 8 and 24, to get

24 = 8 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 24 and 32 is 8

Notice that 8 = HCF(24,8) = HCF(32,24) .


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

Step 1: Since 52 > 8, we apply the division lemma to 52 and 8, to get

52 = 8 x 6 + 4

Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 4 and 8, to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8 and 52 is 4

Notice that 4 = HCF(8,4) = HCF(52,8) .


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

Step 1: Since 72 > 4, we apply the division lemma to 72 and 4, to get

72 = 4 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 72 is 4

Notice that 4 = HCF(72,4) .

Frequently Asked Questions on HCF of 24, 32, 52, 72 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 24, 32, 52, 72?

Answer: HCF of 24, 32, 52, 72 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 24, 32, 52, 72 using Euclid's Algorithm?

Answer: For arbitrary numbers 24, 32, 52, 72 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.