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Highest Common Factor of 36, 48 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 36, 48 i.e. 12 the largest integer that leaves a remainder zero for all numbers.

HCF of 36, 48 is 12 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 36, 48 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 36, 48 is 12.

HCF(36, 48) = 12

HCF of 36, 48 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 36, 48 is 12.

Highest Common Factor of 36,48 using Euclid's algorithm

Step 1: Since 48 > 36, we apply the division lemma to 48 and 36, to get

48 = 36 x 1 + 12

Step 2: Since the reminder 36 ≠ 0, we apply division lemma to 12 and 36, to get

36 = 12 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 36 and 48 is 12

Notice that 12 = HCF(36,12) = HCF(48,36) .

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Frequently Asked Questions on HCF of 36, 48 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 36, 48?

Answer: HCF of 36, 48 is 12 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 36, 48 using Euclid's Algorithm?

Answer: For arbitrary numbers 36, 48 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.