Highest Common Factor of 3832, 2798, 95083 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 3832, 2798, 95083 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3832, 2798, 95083 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 3832, 2798, 95083 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 3832, 2798, 95083 is 1.

HCF(3832, 2798, 95083) = 1

HCF of 3832, 2798, 95083 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 3832, 2798, 95083 is 1.

Highest Common Factor of 3832,2798,95083 using Euclid's algorithm

Highest Common Factor of 3832,2798,95083 is 1

Step 1: Since 3832 > 2798, we apply the division lemma to 3832 and 2798, to get

3832 = 2798 x 1 + 1034

Step 2: Since the reminder 2798 ≠ 0, we apply division lemma to 1034 and 2798, to get

2798 = 1034 x 2 + 730

Step 3: We consider the new divisor 1034 and the new remainder 730, and apply the division lemma to get

1034 = 730 x 1 + 304

We consider the new divisor 730 and the new remainder 304,and apply the division lemma to get

730 = 304 x 2 + 122

We consider the new divisor 304 and the new remainder 122,and apply the division lemma to get

304 = 122 x 2 + 60

We consider the new divisor 122 and the new remainder 60,and apply the division lemma to get

122 = 60 x 2 + 2

We consider the new divisor 60 and the new remainder 2,and apply the division lemma to get

60 = 2 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3832 and 2798 is 2

Notice that 2 = HCF(60,2) = HCF(122,60) = HCF(304,122) = HCF(730,304) = HCF(1034,730) = HCF(2798,1034) = HCF(3832,2798) .

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

Step 1: Since 95083 > 2, we apply the division lemma to 95083 and 2, to get

95083 = 2 x 47541 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 95083 is 1

Notice that 1 = HCF(2,1) = HCF(95083,2) .

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Frequently Asked Questions on HCF of 3832, 2798, 95083 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 3832, 2798, 95083?

Answer: HCF of 3832, 2798, 95083 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3832, 2798, 95083 using Euclid's Algorithm?

Answer: For arbitrary numbers 3832, 2798, 95083 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.