Highest Common Factor of 7621, 5534 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 7621, 5534 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7621, 5534 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 7621, 5534 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 7621, 5534 is 1.

HCF(7621, 5534) = 1

HCF of 7621, 5534 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 7621, 5534 is 1.

Highest Common Factor of 7621,5534 using Euclid's algorithm

Highest Common Factor of 7621,5534 is 1

Step 1: Since 7621 > 5534, we apply the division lemma to 7621 and 5534, to get

7621 = 5534 x 1 + 2087

Step 2: Since the reminder 5534 ≠ 0, we apply division lemma to 2087 and 5534, to get

5534 = 2087 x 2 + 1360

Step 3: We consider the new divisor 2087 and the new remainder 1360, and apply the division lemma to get

2087 = 1360 x 1 + 727

We consider the new divisor 1360 and the new remainder 727,and apply the division lemma to get

1360 = 727 x 1 + 633

We consider the new divisor 727 and the new remainder 633,and apply the division lemma to get

727 = 633 x 1 + 94

We consider the new divisor 633 and the new remainder 94,and apply the division lemma to get

633 = 94 x 6 + 69

We consider the new divisor 94 and the new remainder 69,and apply the division lemma to get

94 = 69 x 1 + 25

We consider the new divisor 69 and the new remainder 25,and apply the division lemma to get

69 = 25 x 2 + 19

We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get

25 = 19 x 1 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7621 and 5534 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(69,25) = HCF(94,69) = HCF(633,94) = HCF(727,633) = HCF(1360,727) = HCF(2087,1360) = HCF(5534,2087) = HCF(7621,5534) .

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Frequently Asked Questions on HCF of 7621, 5534 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 7621, 5534?

Answer: HCF of 7621, 5534 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7621, 5534 using Euclid's Algorithm?

Answer: For arbitrary numbers 7621, 5534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.