Highest Common Factor of 242, 640, 946 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 242, 640, 946 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 242, 640, 946 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 242, 640, 946 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 242, 640, 946 is 2.

HCF(242, 640, 946) = 2

HCF of 242, 640, 946 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 242, 640, 946 is 2.

Highest Common Factor of 242,640,946 using Euclid's algorithm

Highest Common Factor of 242,640,946 is 2

Step 1: Since 640 > 242, we apply the division lemma to 640 and 242, to get

640 = 242 x 2 + 156

Step 2: Since the reminder 242 ≠ 0, we apply division lemma to 156 and 242, to get

242 = 156 x 1 + 86

Step 3: We consider the new divisor 156 and the new remainder 86, and apply the division lemma to get

156 = 86 x 1 + 70

We consider the new divisor 86 and the new remainder 70,and apply the division lemma to get

86 = 70 x 1 + 16

We consider the new divisor 70 and the new remainder 16,and apply the division lemma to get

70 = 16 x 4 + 6

We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get

16 = 6 x 2 + 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 242 and 640 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(70,16) = HCF(86,70) = HCF(156,86) = HCF(242,156) = HCF(640,242) .

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

Step 1: Since 946 > 2, we apply the division lemma to 946 and 2, to get

946 = 2 x 473 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 946 is 2

Notice that 2 = HCF(946,2) .

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Frequently Asked Questions on HCF of 242, 640, 946 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 242, 640, 946?

Answer: HCF of 242, 640, 946 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 242, 640, 946 using Euclid's Algorithm?

Answer: For arbitrary numbers 242, 640, 946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.