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Highest Common Factor of 8, 60, 12, 20 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8, 60, 12, 20 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 8, 60, 12, 20 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 8, 60, 12, 20 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 8, 60, 12, 20 is 4.

HCF(8, 60, 12, 20) = 4

HCF of 8, 60, 12, 20 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 8, 60, 12, 20 is 4.

Highest Common Factor of 8,60,12,20 using Euclid's algorithm

Step 1: Since 60 > 8, we apply the division lemma to 60 and 8, to get

60 = 8 x 7 + 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 60 is 4

Notice that 4 = HCF(8,4) = HCF(60,8) .


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

Step 1: Since 12 > 4, we apply the division lemma to 12 and 4, to get

12 = 4 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 12 is 4

Notice that 4 = HCF(12,4) .


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

Step 1: Since 20 > 4, we apply the division lemma to 20 and 4, to get

20 = 4 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 20 is 4

Notice that 4 = HCF(20,4) .

HCF using Euclid's Algorithm Calculation Examples

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Frequently Asked Questions on HCF of 8, 60, 12, 20 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 8, 60, 12, 20?

Answer: HCF of 8, 60, 12, 20 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8, 60, 12, 20 using Euclid's Algorithm?

Answer: For arbitrary numbers 8, 60, 12, 20 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.