Highest Common Factor of 5950, 9763 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 5950, 9763 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5950, 9763 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 5950, 9763 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 5950, 9763 is 1.

HCF(5950, 9763) = 1

HCF of 5950, 9763 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 5950, 9763 is 1.

Highest Common Factor of 5950,9763 using Euclid's algorithm

Highest Common Factor of 5950,9763 is 1

Step 1: Since 9763 > 5950, we apply the division lemma to 9763 and 5950, to get

9763 = 5950 x 1 + 3813

Step 2: Since the reminder 5950 ≠ 0, we apply division lemma to 3813 and 5950, to get

5950 = 3813 x 1 + 2137

Step 3: We consider the new divisor 3813 and the new remainder 2137, and apply the division lemma to get

3813 = 2137 x 1 + 1676

We consider the new divisor 2137 and the new remainder 1676,and apply the division lemma to get

2137 = 1676 x 1 + 461

We consider the new divisor 1676 and the new remainder 461,and apply the division lemma to get

1676 = 461 x 3 + 293

We consider the new divisor 461 and the new remainder 293,and apply the division lemma to get

461 = 293 x 1 + 168

We consider the new divisor 293 and the new remainder 168,and apply the division lemma to get

293 = 168 x 1 + 125

We consider the new divisor 168 and the new remainder 125,and apply the division lemma to get

168 = 125 x 1 + 43

We consider the new divisor 125 and the new remainder 43,and apply the division lemma to get

125 = 43 x 2 + 39

We consider the new divisor 43 and the new remainder 39,and apply the division lemma to get

43 = 39 x 1 + 4

We consider the new divisor 39 and the new remainder 4,and apply the division lemma to get

39 = 4 x 9 + 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 5950 and 9763 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(39,4) = HCF(43,39) = HCF(125,43) = HCF(168,125) = HCF(293,168) = HCF(461,293) = HCF(1676,461) = HCF(2137,1676) = HCF(3813,2137) = HCF(5950,3813) = HCF(9763,5950) .

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Frequently Asked Questions on HCF of 5950, 9763 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 5950, 9763?

Answer: HCF of 5950, 9763 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5950, 9763 using Euclid's Algorithm?

Answer: For arbitrary numbers 5950, 9763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.