Highest Common Factor of 9186, 5652, 44967 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 9186, 5652, 44967 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 9186, 5652, 44967 is 3 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 9186, 5652, 44967 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 9186, 5652, 44967 is 3.

HCF(9186, 5652, 44967) = 3

HCF of 9186, 5652, 44967 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 9186, 5652, 44967 is 3.

Highest Common Factor of 9186,5652,44967 using Euclid's algorithm

Highest Common Factor of 9186,5652,44967 is 3

Step 1: Since 9186 > 5652, we apply the division lemma to 9186 and 5652, to get

9186 = 5652 x 1 + 3534

Step 2: Since the reminder 5652 ≠ 0, we apply division lemma to 3534 and 5652, to get

5652 = 3534 x 1 + 2118

Step 3: We consider the new divisor 3534 and the new remainder 2118, and apply the division lemma to get

3534 = 2118 x 1 + 1416

We consider the new divisor 2118 and the new remainder 1416,and apply the division lemma to get

2118 = 1416 x 1 + 702

We consider the new divisor 1416 and the new remainder 702,and apply the division lemma to get

1416 = 702 x 2 + 12

We consider the new divisor 702 and the new remainder 12,and apply the division lemma to get

702 = 12 x 58 + 6

We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get

12 = 6 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 9186 and 5652 is 6

Notice that 6 = HCF(12,6) = HCF(702,12) = HCF(1416,702) = HCF(2118,1416) = HCF(3534,2118) = HCF(5652,3534) = HCF(9186,5652) .

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

Step 1: Since 44967 > 6, we apply the division lemma to 44967 and 6, to get

44967 = 6 x 7494 + 3

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 3 and 6, to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6 and 44967 is 3

Notice that 3 = HCF(6,3) = HCF(44967,6) .

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Frequently Asked Questions on HCF of 9186, 5652, 44967 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 9186, 5652, 44967?

Answer: HCF of 9186, 5652, 44967 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9186, 5652, 44967 using Euclid's Algorithm?

Answer: For arbitrary numbers 9186, 5652, 44967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.