Highest Common Factor of 9057, 5627 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 9057, 5627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9057, 5627 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 9057, 5627 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 9057, 5627 is 1.

HCF(9057, 5627) = 1

HCF of 9057, 5627 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 9057, 5627 is 1.

Highest Common Factor of 9057,5627 using Euclid's algorithm

Highest Common Factor of 9057,5627 is 1

Step 1: Since 9057 > 5627, we apply the division lemma to 9057 and 5627, to get

9057 = 5627 x 1 + 3430

Step 2: Since the reminder 5627 ≠ 0, we apply division lemma to 3430 and 5627, to get

5627 = 3430 x 1 + 2197

Step 3: We consider the new divisor 3430 and the new remainder 2197, and apply the division lemma to get

3430 = 2197 x 1 + 1233

We consider the new divisor 2197 and the new remainder 1233,and apply the division lemma to get

2197 = 1233 x 1 + 964

We consider the new divisor 1233 and the new remainder 964,and apply the division lemma to get

1233 = 964 x 1 + 269

We consider the new divisor 964 and the new remainder 269,and apply the division lemma to get

964 = 269 x 3 + 157

We consider the new divisor 269 and the new remainder 157,and apply the division lemma to get

269 = 157 x 1 + 112

We consider the new divisor 157 and the new remainder 112,and apply the division lemma to get

157 = 112 x 1 + 45

We consider the new divisor 112 and the new remainder 45,and apply the division lemma to get

112 = 45 x 2 + 22

We consider the new divisor 45 and the new remainder 22,and apply the division lemma to get

45 = 22 x 2 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9057 and 5627 is 1

Notice that 1 = HCF(22,1) = HCF(45,22) = HCF(112,45) = HCF(157,112) = HCF(269,157) = HCF(964,269) = HCF(1233,964) = HCF(2197,1233) = HCF(3430,2197) = HCF(5627,3430) = HCF(9057,5627) .

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Frequently Asked Questions on HCF of 9057, 5627 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 9057, 5627?

Answer: HCF of 9057, 5627 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9057, 5627 using Euclid's Algorithm?

Answer: For arbitrary numbers 9057, 5627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.