Highest Common Factor of 236, 846, 160 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 236, 846, 160 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 236, 846, 160 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 236, 846, 160 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 236, 846, 160 is 2.

HCF(236, 846, 160) = 2

HCF of 236, 846, 160 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 236, 846, 160 is 2.

Highest Common Factor of 236,846,160 using Euclid's algorithm

Highest Common Factor of 236,846,160 is 2

Step 1: Since 846 > 236, we apply the division lemma to 846 and 236, to get

846 = 236 x 3 + 138

Step 2: Since the reminder 236 ≠ 0, we apply division lemma to 138 and 236, to get

236 = 138 x 1 + 98

Step 3: We consider the new divisor 138 and the new remainder 98, and apply the division lemma to get

138 = 98 x 1 + 40

We consider the new divisor 98 and the new remainder 40,and apply the division lemma to get

98 = 40 x 2 + 18

We consider the new divisor 40 and the new remainder 18,and apply the division lemma to get

40 = 18 x 2 + 4

We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get

18 = 4 x 4 + 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 236 and 846 is 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(40,18) = HCF(98,40) = HCF(138,98) = HCF(236,138) = HCF(846,236) .

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

Step 1: Since 160 > 2, we apply the division lemma to 160 and 2, to get

160 = 2 x 80 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 160 is 2

Notice that 2 = HCF(160,2) .

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Frequently Asked Questions on HCF of 236, 846, 160 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 236, 846, 160?

Answer: HCF of 236, 846, 160 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 236, 846, 160 using Euclid's Algorithm?

Answer: For arbitrary numbers 236, 846, 160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.