Highest Common Factor of 7661, 5554 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 7661, 5554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7661, 5554 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 7661, 5554 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 7661, 5554 is 1.

HCF(7661, 5554) = 1

HCF of 7661, 5554 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 7661, 5554 is 1.

Highest Common Factor of 7661,5554 using Euclid's algorithm

Highest Common Factor of 7661,5554 is 1

Step 1: Since 7661 > 5554, we apply the division lemma to 7661 and 5554, to get

7661 = 5554 x 1 + 2107

Step 2: Since the reminder 5554 ≠ 0, we apply division lemma to 2107 and 5554, to get

5554 = 2107 x 2 + 1340

Step 3: We consider the new divisor 2107 and the new remainder 1340, and apply the division lemma to get

2107 = 1340 x 1 + 767

We consider the new divisor 1340 and the new remainder 767,and apply the division lemma to get

1340 = 767 x 1 + 573

We consider the new divisor 767 and the new remainder 573,and apply the division lemma to get

767 = 573 x 1 + 194

We consider the new divisor 573 and the new remainder 194,and apply the division lemma to get

573 = 194 x 2 + 185

We consider the new divisor 194 and the new remainder 185,and apply the division lemma to get

194 = 185 x 1 + 9

We consider the new divisor 185 and the new remainder 9,and apply the division lemma to get

185 = 9 x 20 + 5

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 7661 and 5554 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(185,9) = HCF(194,185) = HCF(573,194) = HCF(767,573) = HCF(1340,767) = HCF(2107,1340) = HCF(5554,2107) = HCF(7661,5554) .

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Frequently Asked Questions on HCF of 7661, 5554 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 7661, 5554?

Answer: HCF of 7661, 5554 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7661, 5554 using Euclid's Algorithm?

Answer: For arbitrary numbers 7661, 5554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.