Highest Common Factor of 869, 938, 219, 400 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 869, 938, 219, 400 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 869, 938, 219, 400 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 869, 938, 219, 400 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 869, 938, 219, 400 is 1.

HCF(869, 938, 219, 400) = 1

HCF of 869, 938, 219, 400 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 869, 938, 219, 400 is 1.

Highest Common Factor of 869,938,219,400 using Euclid's algorithm

Highest Common Factor of 869,938,219,400 is 1

Step 1: Since 938 > 869, we apply the division lemma to 938 and 869, to get

938 = 869 x 1 + 69

Step 2: Since the reminder 869 ≠ 0, we apply division lemma to 69 and 869, to get

869 = 69 x 12 + 41

Step 3: We consider the new divisor 69 and the new remainder 41, and apply the division lemma to get

69 = 41 x 1 + 28

We consider the new divisor 41 and the new remainder 28,and apply the division lemma to get

41 = 28 x 1 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 869 and 938 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(41,28) = HCF(69,41) = HCF(869,69) = HCF(938,869) .

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

Step 1: Since 219 > 1, we apply the division lemma to 219 and 1, to get

219 = 1 x 219 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 219 is 1

Notice that 1 = HCF(219,1) .

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

Step 1: Since 400 > 1, we apply the division lemma to 400 and 1, to get

400 = 1 x 400 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 400 is 1

Notice that 1 = HCF(400,1) .

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Frequently Asked Questions on HCF of 869, 938, 219, 400 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 869, 938, 219, 400?

Answer: HCF of 869, 938, 219, 400 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 869, 938, 219, 400 using Euclid's Algorithm?

Answer: For arbitrary numbers 869, 938, 219, 400 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.