Highest Common Factor of 8753, 3148 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 8753, 3148 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8753, 3148 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 8753, 3148 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 8753, 3148 is 1.

HCF(8753, 3148) = 1

HCF of 8753, 3148 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8753, 3148 is 1.

Highest Common Factor of 8753,3148 using Euclid's algorithm

Highest Common Factor of 8753,3148 is 1

Step 1: Since 8753 > 3148, we apply the division lemma to 8753 and 3148, to get

8753 = 3148 x 2 + 2457

Step 2: Since the reminder 3148 ≠ 0, we apply division lemma to 2457 and 3148, to get

3148 = 2457 x 1 + 691

Step 3: We consider the new divisor 2457 and the new remainder 691, and apply the division lemma to get

2457 = 691 x 3 + 384

We consider the new divisor 691 and the new remainder 384,and apply the division lemma to get

691 = 384 x 1 + 307

We consider the new divisor 384 and the new remainder 307,and apply the division lemma to get

384 = 307 x 1 + 77

We consider the new divisor 307 and the new remainder 77,and apply the division lemma to get

307 = 77 x 3 + 76

We consider the new divisor 77 and the new remainder 76,and apply the division lemma to get

77 = 76 x 1 + 1

We consider the new divisor 76 and the new remainder 1,and apply the division lemma to get

76 = 1 x 76 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8753 and 3148 is 1

Notice that 1 = HCF(76,1) = HCF(77,76) = HCF(307,77) = HCF(384,307) = HCF(691,384) = HCF(2457,691) = HCF(3148,2457) = HCF(8753,3148) .

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Frequently Asked Questions on HCF of 8753, 3148 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 8753, 3148?

Answer: HCF of 8753, 3148 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8753, 3148 using Euclid's Algorithm?

Answer: For arbitrary numbers 8753, 3148 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.