Highest Common Factor of 3463, 4694, 95314 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 3463, 4694, 95314 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3463, 4694, 95314 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 3463, 4694, 95314 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 3463, 4694, 95314 is 1.

HCF(3463, 4694, 95314) = 1

HCF of 3463, 4694, 95314 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 3463, 4694, 95314 is 1.

Highest Common Factor of 3463,4694,95314 using Euclid's algorithm

Highest Common Factor of 3463,4694,95314 is 1

Step 1: Since 4694 > 3463, we apply the division lemma to 4694 and 3463, to get

4694 = 3463 x 1 + 1231

Step 2: Since the reminder 3463 ≠ 0, we apply division lemma to 1231 and 3463, to get

3463 = 1231 x 2 + 1001

Step 3: We consider the new divisor 1231 and the new remainder 1001, and apply the division lemma to get

1231 = 1001 x 1 + 230

We consider the new divisor 1001 and the new remainder 230,and apply the division lemma to get

1001 = 230 x 4 + 81

We consider the new divisor 230 and the new remainder 81,and apply the division lemma to get

230 = 81 x 2 + 68

We consider the new divisor 81 and the new remainder 68,and apply the division lemma to get

81 = 68 x 1 + 13

We consider the new divisor 68 and the new remainder 13,and apply the division lemma to get

68 = 13 x 5 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 3463 and 4694 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(68,13) = HCF(81,68) = HCF(230,81) = HCF(1001,230) = HCF(1231,1001) = HCF(3463,1231) = HCF(4694,3463) .

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

Step 1: Since 95314 > 1, we apply the division lemma to 95314 and 1, to get

95314 = 1 x 95314 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95314 is 1

Notice that 1 = HCF(95314,1) .

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Frequently Asked Questions on HCF of 3463, 4694, 95314 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 3463, 4694, 95314?

Answer: HCF of 3463, 4694, 95314 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3463, 4694, 95314 using Euclid's Algorithm?

Answer: For arbitrary numbers 3463, 4694, 95314 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.