Highest Common Factor of 5711, 8848 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 5711, 8848 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5711, 8848 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 5711, 8848 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 5711, 8848 is 1.

HCF(5711, 8848) = 1

HCF of 5711, 8848 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 5711, 8848 is 1.

Highest Common Factor of 5711,8848 using Euclid's algorithm

Highest Common Factor of 5711,8848 is 1

Step 1: Since 8848 > 5711, we apply the division lemma to 8848 and 5711, to get

8848 = 5711 x 1 + 3137

Step 2: Since the reminder 5711 ≠ 0, we apply division lemma to 3137 and 5711, to get

5711 = 3137 x 1 + 2574

Step 3: We consider the new divisor 3137 and the new remainder 2574, and apply the division lemma to get

3137 = 2574 x 1 + 563

We consider the new divisor 2574 and the new remainder 563,and apply the division lemma to get

2574 = 563 x 4 + 322

We consider the new divisor 563 and the new remainder 322,and apply the division lemma to get

563 = 322 x 1 + 241

We consider the new divisor 322 and the new remainder 241,and apply the division lemma to get

322 = 241 x 1 + 81

We consider the new divisor 241 and the new remainder 81,and apply the division lemma to get

241 = 81 x 2 + 79

We consider the new divisor 81 and the new remainder 79,and apply the division lemma to get

81 = 79 x 1 + 2

We consider the new divisor 79 and the new remainder 2,and apply the division lemma to get

79 = 2 x 39 + 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 5711 and 8848 is 1

Notice that 1 = HCF(2,1) = HCF(79,2) = HCF(81,79) = HCF(241,81) = HCF(322,241) = HCF(563,322) = HCF(2574,563) = HCF(3137,2574) = HCF(5711,3137) = HCF(8848,5711) .

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Frequently Asked Questions on HCF of 5711, 8848 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 5711, 8848?

Answer: HCF of 5711, 8848 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5711, 8848 using Euclid's Algorithm?

Answer: For arbitrary numbers 5711, 8848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.