Highest Common Factor of 3932, 6845, 83294 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 3932, 6845, 83294 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3932, 6845, 83294 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 3932, 6845, 83294 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 3932, 6845, 83294 is 1.

HCF(3932, 6845, 83294) = 1

HCF of 3932, 6845, 83294 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 3932, 6845, 83294 is 1.

Highest Common Factor of 3932,6845,83294 using Euclid's algorithm

Highest Common Factor of 3932,6845,83294 is 1

Step 1: Since 6845 > 3932, we apply the division lemma to 6845 and 3932, to get

6845 = 3932 x 1 + 2913

Step 2: Since the reminder 3932 ≠ 0, we apply division lemma to 2913 and 3932, to get

3932 = 2913 x 1 + 1019

Step 3: We consider the new divisor 2913 and the new remainder 1019, and apply the division lemma to get

2913 = 1019 x 2 + 875

We consider the new divisor 1019 and the new remainder 875,and apply the division lemma to get

1019 = 875 x 1 + 144

We consider the new divisor 875 and the new remainder 144,and apply the division lemma to get

875 = 144 x 6 + 11

We consider the new divisor 144 and the new remainder 11,and apply the division lemma to get

144 = 11 x 13 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3932 and 6845 is 1

Notice that 1 = HCF(11,1) = HCF(144,11) = HCF(875,144) = HCF(1019,875) = HCF(2913,1019) = HCF(3932,2913) = HCF(6845,3932) .

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

Step 1: Since 83294 > 1, we apply the division lemma to 83294 and 1, to get

83294 = 1 x 83294 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83294 is 1

Notice that 1 = HCF(83294,1) .

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Frequently Asked Questions on HCF of 3932, 6845, 83294 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 3932, 6845, 83294?

Answer: HCF of 3932, 6845, 83294 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3932, 6845, 83294 using Euclid's Algorithm?

Answer: For arbitrary numbers 3932, 6845, 83294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.