Highest Common Factor of 9496, 5577 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 9496, 5577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9496, 5577 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 9496, 5577 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 9496, 5577 is 1.

HCF(9496, 5577) = 1

HCF of 9496, 5577 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 9496, 5577 is 1.

Highest Common Factor of 9496,5577 using Euclid's algorithm

Highest Common Factor of 9496,5577 is 1

Step 1: Since 9496 > 5577, we apply the division lemma to 9496 and 5577, to get

9496 = 5577 x 1 + 3919

Step 2: Since the reminder 5577 ≠ 0, we apply division lemma to 3919 and 5577, to get

5577 = 3919 x 1 + 1658

Step 3: We consider the new divisor 3919 and the new remainder 1658, and apply the division lemma to get

3919 = 1658 x 2 + 603

We consider the new divisor 1658 and the new remainder 603,and apply the division lemma to get

1658 = 603 x 2 + 452

We consider the new divisor 603 and the new remainder 452,and apply the division lemma to get

603 = 452 x 1 + 151

We consider the new divisor 452 and the new remainder 151,and apply the division lemma to get

452 = 151 x 2 + 150

We consider the new divisor 151 and the new remainder 150,and apply the division lemma to get

151 = 150 x 1 + 1

We consider the new divisor 150 and the new remainder 1,and apply the division lemma to get

150 = 1 x 150 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9496 and 5577 is 1

Notice that 1 = HCF(150,1) = HCF(151,150) = HCF(452,151) = HCF(603,452) = HCF(1658,603) = HCF(3919,1658) = HCF(5577,3919) = HCF(9496,5577) .

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Frequently Asked Questions on HCF of 9496, 5577 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 9496, 5577?

Answer: HCF of 9496, 5577 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9496, 5577 using Euclid's Algorithm?

Answer: For arbitrary numbers 9496, 5577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.