Highest Common Factor of 1500, 1177 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 1500, 1177 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1500, 1177 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 1500, 1177 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 1500, 1177 is 1.

HCF(1500, 1177) = 1

HCF of 1500, 1177 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 1500, 1177 is 1.

Highest Common Factor of 1500,1177 using Euclid's algorithm

Highest Common Factor of 1500,1177 is 1

Step 1: Since 1500 > 1177, we apply the division lemma to 1500 and 1177, to get

1500 = 1177 x 1 + 323

Step 2: Since the reminder 1177 ≠ 0, we apply division lemma to 323 and 1177, to get

1177 = 323 x 3 + 208

Step 3: We consider the new divisor 323 and the new remainder 208, and apply the division lemma to get

323 = 208 x 1 + 115

We consider the new divisor 208 and the new remainder 115,and apply the division lemma to get

208 = 115 x 1 + 93

We consider the new divisor 115 and the new remainder 93,and apply the division lemma to get

115 = 93 x 1 + 22

We consider the new divisor 93 and the new remainder 22,and apply the division lemma to get

93 = 22 x 4 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1500 and 1177 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(93,22) = HCF(115,93) = HCF(208,115) = HCF(323,208) = HCF(1177,323) = HCF(1500,1177) .

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Frequently Asked Questions on HCF of 1500, 1177 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 1500, 1177?

Answer: HCF of 1500, 1177 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1500, 1177 using Euclid's Algorithm?

Answer: For arbitrary numbers 1500, 1177 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.