Highest Common Factor of 1235, 5386, 63639 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 1235, 5386, 63639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1235, 5386, 63639 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 1235, 5386, 63639 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 1235, 5386, 63639 is 1.

HCF(1235, 5386, 63639) = 1

HCF of 1235, 5386, 63639 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 1235, 5386, 63639 is 1.

Highest Common Factor of 1235,5386,63639 using Euclid's algorithm

Highest Common Factor of 1235,5386,63639 is 1

Step 1: Since 5386 > 1235, we apply the division lemma to 5386 and 1235, to get

5386 = 1235 x 4 + 446

Step 2: Since the reminder 1235 ≠ 0, we apply division lemma to 446 and 1235, to get

1235 = 446 x 2 + 343

Step 3: We consider the new divisor 446 and the new remainder 343, and apply the division lemma to get

446 = 343 x 1 + 103

We consider the new divisor 343 and the new remainder 103,and apply the division lemma to get

343 = 103 x 3 + 34

We consider the new divisor 103 and the new remainder 34,and apply the division lemma to get

103 = 34 x 3 + 1

We consider the new divisor 34 and the new remainder 1,and apply the division lemma to get

34 = 1 x 34 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1235 and 5386 is 1

Notice that 1 = HCF(34,1) = HCF(103,34) = HCF(343,103) = HCF(446,343) = HCF(1235,446) = HCF(5386,1235) .

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

Step 1: Since 63639 > 1, we apply the division lemma to 63639 and 1, to get

63639 = 1 x 63639 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63639 is 1

Notice that 1 = HCF(63639,1) .

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Frequently Asked Questions on HCF of 1235, 5386, 63639 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 1235, 5386, 63639?

Answer: HCF of 1235, 5386, 63639 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1235, 5386, 63639 using Euclid's Algorithm?

Answer: For arbitrary numbers 1235, 5386, 63639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.