Highest Common Factor of 468, 874, 940 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 468, 874, 940 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 468, 874, 940 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 468, 874, 940 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 468, 874, 940 is 2.

HCF(468, 874, 940) = 2

HCF of 468, 874, 940 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 468, 874, 940 is 2.

Highest Common Factor of 468,874,940 using Euclid's algorithm

Highest Common Factor of 468,874,940 is 2

Step 1: Since 874 > 468, we apply the division lemma to 874 and 468, to get

874 = 468 x 1 + 406

Step 2: Since the reminder 468 ≠ 0, we apply division lemma to 406 and 468, to get

468 = 406 x 1 + 62

Step 3: We consider the new divisor 406 and the new remainder 62, and apply the division lemma to get

406 = 62 x 6 + 34

We consider the new divisor 62 and the new remainder 34,and apply the division lemma to get

62 = 34 x 1 + 28

We consider the new divisor 34 and the new remainder 28,and apply the division lemma to get

34 = 28 x 1 + 6

We consider the new divisor 28 and the new remainder 6,and apply the division lemma to get

28 = 6 x 4 + 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 468 and 874 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(28,6) = HCF(34,28) = HCF(62,34) = HCF(406,62) = HCF(468,406) = HCF(874,468) .

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

Step 1: Since 940 > 2, we apply the division lemma to 940 and 2, to get

940 = 2 x 470 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 940 is 2

Notice that 2 = HCF(940,2) .

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Frequently Asked Questions on HCF of 468, 874, 940 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 468, 874, 940?

Answer: HCF of 468, 874, 940 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 468, 874, 940 using Euclid's Algorithm?

Answer: For arbitrary numbers 468, 874, 940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.