Highest Common Factor of 884, 2317, 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 884, 2317, 1177 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 884, 2317, 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 884, 2317, 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 884, 2317, 1177 is 1.

HCF(884, 2317, 1177) = 1

HCF of 884, 2317, 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 884, 2317, 1177 is 1.

Highest Common Factor of 884,2317,1177 using Euclid's algorithm

Highest Common Factor of 884,2317,1177 is 1

Step 1: Since 2317 > 884, we apply the division lemma to 2317 and 884, to get

2317 = 884 x 2 + 549

Step 2: Since the reminder 884 ≠ 0, we apply division lemma to 549 and 884, to get

884 = 549 x 1 + 335

Step 3: We consider the new divisor 549 and the new remainder 335, and apply the division lemma to get

549 = 335 x 1 + 214

We consider the new divisor 335 and the new remainder 214,and apply the division lemma to get

335 = 214 x 1 + 121

We consider the new divisor 214 and the new remainder 121,and apply the division lemma to get

214 = 121 x 1 + 93

We consider the new divisor 121 and the new remainder 93,and apply the division lemma to get

121 = 93 x 1 + 28

We consider the new divisor 93 and the new remainder 28,and apply the division lemma to get

93 = 28 x 3 + 9

We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get

28 = 9 x 3 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 884 and 2317 is 1

Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(93,28) = HCF(121,93) = HCF(214,121) = HCF(335,214) = HCF(549,335) = HCF(884,549) = HCF(2317,884) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

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

1177 = 1 x 1177 + 0

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

Notice that 1 = HCF(1177,1) .

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Frequently Asked Questions on HCF of 884, 2317, 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 884, 2317, 1177?

Answer: HCF of 884, 2317, 1177 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 884, 2317, 1177 using Euclid's Algorithm?

Answer: For arbitrary numbers 884, 2317, 1177 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.