Highest Common Factor of 1398, 7611, 39506 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 1398, 7611, 39506 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1398, 7611, 39506 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 1398, 7611, 39506 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 1398, 7611, 39506 is 1.

HCF(1398, 7611, 39506) = 1

HCF of 1398, 7611, 39506 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 1398, 7611, 39506 is 1.

Highest Common Factor of 1398,7611,39506 using Euclid's algorithm

Highest Common Factor of 1398,7611,39506 is 1

Step 1: Since 7611 > 1398, we apply the division lemma to 7611 and 1398, to get

7611 = 1398 x 5 + 621

Step 2: Since the reminder 1398 ≠ 0, we apply division lemma to 621 and 1398, to get

1398 = 621 x 2 + 156

Step 3: We consider the new divisor 621 and the new remainder 156, and apply the division lemma to get

621 = 156 x 3 + 153

We consider the new divisor 156 and the new remainder 153,and apply the division lemma to get

156 = 153 x 1 + 3

We consider the new divisor 153 and the new remainder 3,and apply the division lemma to get

153 = 3 x 51 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1398 and 7611 is 3

Notice that 3 = HCF(153,3) = HCF(156,153) = HCF(621,156) = HCF(1398,621) = HCF(7611,1398) .

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

Step 1: Since 39506 > 3, we apply the division lemma to 39506 and 3, to get

39506 = 3 x 13168 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 39506 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(39506,3) .

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Frequently Asked Questions on HCF of 1398, 7611, 39506 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 1398, 7611, 39506?

Answer: HCF of 1398, 7611, 39506 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1398, 7611, 39506 using Euclid's Algorithm?

Answer: For arbitrary numbers 1398, 7611, 39506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.