Highest Common Factor of 7952, 6622, 53545 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 7952, 6622, 53545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7952, 6622, 53545 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 7952, 6622, 53545 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 7952, 6622, 53545 is 1.

HCF(7952, 6622, 53545) = 1

HCF of 7952, 6622, 53545 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 7952, 6622, 53545 is 1.

Highest Common Factor of 7952,6622,53545 using Euclid's algorithm

Highest Common Factor of 7952,6622,53545 is 1

Step 1: Since 7952 > 6622, we apply the division lemma to 7952 and 6622, to get

7952 = 6622 x 1 + 1330

Step 2: Since the reminder 6622 ≠ 0, we apply division lemma to 1330 and 6622, to get

6622 = 1330 x 4 + 1302

Step 3: We consider the new divisor 1330 and the new remainder 1302, and apply the division lemma to get

1330 = 1302 x 1 + 28

We consider the new divisor 1302 and the new remainder 28,and apply the division lemma to get

1302 = 28 x 46 + 14

We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get

28 = 14 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 7952 and 6622 is 14

Notice that 14 = HCF(28,14) = HCF(1302,28) = HCF(1330,1302) = HCF(6622,1330) = HCF(7952,6622) .

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

Step 1: Since 53545 > 14, we apply the division lemma to 53545 and 14, to get

53545 = 14 x 3824 + 9

Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 9 and 14, to get

14 = 9 x 1 + 5

Step 3: We consider the new divisor 9 and the new remainder 5, and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 14 and 53545 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(53545,14) .

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Frequently Asked Questions on HCF of 7952, 6622, 53545 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 7952, 6622, 53545?

Answer: HCF of 7952, 6622, 53545 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7952, 6622, 53545 using Euclid's Algorithm?

Answer: For arbitrary numbers 7952, 6622, 53545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.