Highest Common Factor of 868, 226, 190, 80 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 868, 226, 190, 80 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 868, 226, 190, 80 is 2 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 868, 226, 190, 80 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 868, 226, 190, 80 is 2.

HCF(868, 226, 190, 80) = 2

HCF of 868, 226, 190, 80 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 868, 226, 190, 80 is 2.

Highest Common Factor of 868,226,190,80 using Euclid's algorithm

Highest Common Factor of 868,226,190,80 is 2

Step 1: Since 868 > 226, we apply the division lemma to 868 and 226, to get

868 = 226 x 3 + 190

Step 2: Since the reminder 226 ≠ 0, we apply division lemma to 190 and 226, to get

226 = 190 x 1 + 36

Step 3: We consider the new divisor 190 and the new remainder 36, and apply the division lemma to get

190 = 36 x 5 + 10

We consider the new divisor 36 and the new remainder 10,and apply the division lemma to get

36 = 10 x 3 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 868 and 226 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(36,10) = HCF(190,36) = HCF(226,190) = HCF(868,226) .

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

Step 1: Since 190 > 2, we apply the division lemma to 190 and 2, to get

190 = 2 x 95 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 190 is 2

Notice that 2 = HCF(190,2) .

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

Step 1: Since 80 > 2, we apply the division lemma to 80 and 2, to get

80 = 2 x 40 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 80 is 2

Notice that 2 = HCF(80,2) .

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Frequently Asked Questions on HCF of 868, 226, 190, 80 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 868, 226, 190, 80?

Answer: HCF of 868, 226, 190, 80 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 868, 226, 190, 80 using Euclid's Algorithm?

Answer: For arbitrary numbers 868, 226, 190, 80 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.