Highest Common Factor of 8294, 6964, 95907 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 8294, 6964, 95907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8294, 6964, 95907 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 8294, 6964, 95907 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 8294, 6964, 95907 is 1.

HCF(8294, 6964, 95907) = 1

HCF of 8294, 6964, 95907 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 8294, 6964, 95907 is 1.

Highest Common Factor of 8294,6964,95907 using Euclid's algorithm

Highest Common Factor of 8294,6964,95907 is 1

Step 1: Since 8294 > 6964, we apply the division lemma to 8294 and 6964, to get

8294 = 6964 x 1 + 1330

Step 2: Since the reminder 6964 ≠ 0, we apply division lemma to 1330 and 6964, to get

6964 = 1330 x 5 + 314

Step 3: We consider the new divisor 1330 and the new remainder 314, and apply the division lemma to get

1330 = 314 x 4 + 74

We consider the new divisor 314 and the new remainder 74,and apply the division lemma to get

314 = 74 x 4 + 18

We consider the new divisor 74 and the new remainder 18,and apply the division lemma to get

74 = 18 x 4 + 2

We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get

18 = 2 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8294 and 6964 is 2

Notice that 2 = HCF(18,2) = HCF(74,18) = HCF(314,74) = HCF(1330,314) = HCF(6964,1330) = HCF(8294,6964) .

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

Step 1: Since 95907 > 2, we apply the division lemma to 95907 and 2, to get

95907 = 2 x 47953 + 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 95907 is 1

Notice that 1 = HCF(2,1) = HCF(95907,2) .

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Frequently Asked Questions on HCF of 8294, 6964, 95907 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 8294, 6964, 95907?

Answer: HCF of 8294, 6964, 95907 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8294, 6964, 95907 using Euclid's Algorithm?

Answer: For arbitrary numbers 8294, 6964, 95907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.