Highest Common Factor of 615, 866, 685, 894 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 615, 866, 685, 894 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 615, 866, 685, 894 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 615, 866, 685, 894 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 615, 866, 685, 894 is 1.

HCF(615, 866, 685, 894) = 1

HCF of 615, 866, 685, 894 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 615, 866, 685, 894 is 1.

Highest Common Factor of 615,866,685,894 using Euclid's algorithm

Highest Common Factor of 615,866,685,894 is 1

Step 1: Since 866 > 615, we apply the division lemma to 866 and 615, to get

866 = 615 x 1 + 251

Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 251 and 615, to get

615 = 251 x 2 + 113

Step 3: We consider the new divisor 251 and the new remainder 113, and apply the division lemma to get

251 = 113 x 2 + 25

We consider the new divisor 113 and the new remainder 25,and apply the division lemma to get

113 = 25 x 4 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 615 and 866 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(113,25) = HCF(251,113) = HCF(615,251) = HCF(866,615) .

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

Step 1: Since 685 > 1, we apply the division lemma to 685 and 1, to get

685 = 1 x 685 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 685 is 1

Notice that 1 = HCF(685,1) .

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

Step 1: Since 894 > 1, we apply the division lemma to 894 and 1, to get

894 = 1 x 894 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 894 is 1

Notice that 1 = HCF(894,1) .

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Frequently Asked Questions on HCF of 615, 866, 685, 894 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 615, 866, 685, 894?

Answer: HCF of 615, 866, 685, 894 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 615, 866, 685, 894 using Euclid's Algorithm?

Answer: For arbitrary numbers 615, 866, 685, 894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.