Highest Common Factor of 894, 516, 998, 795 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 894, 516, 998, 795 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 894, 516, 998, 795 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 894, 516, 998, 795 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 894, 516, 998, 795 is 1.

HCF(894, 516, 998, 795) = 1

HCF of 894, 516, 998, 795 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 894, 516, 998, 795 is 1.

Highest Common Factor of 894,516,998,795 using Euclid's algorithm

Highest Common Factor of 894,516,998,795 is 1

Step 1: Since 894 > 516, we apply the division lemma to 894 and 516, to get

894 = 516 x 1 + 378

Step 2: Since the reminder 516 ≠ 0, we apply division lemma to 378 and 516, to get

516 = 378 x 1 + 138

Step 3: We consider the new divisor 378 and the new remainder 138, and apply the division lemma to get

378 = 138 x 2 + 102

We consider the new divisor 138 and the new remainder 102,and apply the division lemma to get

138 = 102 x 1 + 36

We consider the new divisor 102 and the new remainder 36,and apply the division lemma to get

102 = 36 x 2 + 30

We consider the new divisor 36 and the new remainder 30,and apply the division lemma to get

36 = 30 x 1 + 6

We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get

30 = 6 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 894 and 516 is 6

Notice that 6 = HCF(30,6) = HCF(36,30) = HCF(102,36) = HCF(138,102) = HCF(378,138) = HCF(516,378) = HCF(894,516) .

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

Step 1: Since 998 > 6, we apply the division lemma to 998 and 6, to get

998 = 6 x 166 + 2

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 2 and 6, to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6 and 998 is 2

Notice that 2 = HCF(6,2) = HCF(998,6) .

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

Step 1: Since 795 > 2, we apply the division lemma to 795 and 2, to get

795 = 2 x 397 + 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 795 is 1

Notice that 1 = HCF(2,1) = HCF(795,2) .

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Frequently Asked Questions on HCF of 894, 516, 998, 795 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 894, 516, 998, 795?

Answer: HCF of 894, 516, 998, 795 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 894, 516, 998, 795 using Euclid's Algorithm?

Answer: For arbitrary numbers 894, 516, 998, 795 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.