Highest Common Factor of 5392, 1895 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 5392, 1895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5392, 1895 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 5392, 1895 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 5392, 1895 is 1.

HCF(5392, 1895) = 1

HCF of 5392, 1895 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 5392, 1895 is 1.

Highest Common Factor of 5392,1895 using Euclid's algorithm

Highest Common Factor of 5392,1895 is 1

Step 1: Since 5392 > 1895, we apply the division lemma to 5392 and 1895, to get

5392 = 1895 x 2 + 1602

Step 2: Since the reminder 1895 ≠ 0, we apply division lemma to 1602 and 1895, to get

1895 = 1602 x 1 + 293

Step 3: We consider the new divisor 1602 and the new remainder 293, and apply the division lemma to get

1602 = 293 x 5 + 137

We consider the new divisor 293 and the new remainder 137,and apply the division lemma to get

293 = 137 x 2 + 19

We consider the new divisor 137 and the new remainder 19,and apply the division lemma to get

137 = 19 x 7 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5392 and 1895 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(137,19) = HCF(293,137) = HCF(1602,293) = HCF(1895,1602) = HCF(5392,1895) .

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Frequently Asked Questions on HCF of 5392, 1895 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 5392, 1895?

Answer: HCF of 5392, 1895 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5392, 1895 using Euclid's Algorithm?

Answer: For arbitrary numbers 5392, 1895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.