Highest Common Factor of 940, 594, 176 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 940, 594, 176 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 940, 594, 176 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 940, 594, 176 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 940, 594, 176 is 2.

HCF(940, 594, 176) = 2

HCF of 940, 594, 176 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 940, 594, 176 is 2.

Highest Common Factor of 940,594,176 using Euclid's algorithm

Highest Common Factor of 940,594,176 is 2

Step 1: Since 940 > 594, we apply the division lemma to 940 and 594, to get

940 = 594 x 1 + 346

Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 346 and 594, to get

594 = 346 x 1 + 248

Step 3: We consider the new divisor 346 and the new remainder 248, and apply the division lemma to get

346 = 248 x 1 + 98

We consider the new divisor 248 and the new remainder 98,and apply the division lemma to get

248 = 98 x 2 + 52

We consider the new divisor 98 and the new remainder 52,and apply the division lemma to get

98 = 52 x 1 + 46

We consider the new divisor 52 and the new remainder 46,and apply the division lemma to get

52 = 46 x 1 + 6

We consider the new divisor 46 and the new remainder 6,and apply the division lemma to get

46 = 6 x 7 + 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 940 and 594 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(46,6) = HCF(52,46) = HCF(98,52) = HCF(248,98) = HCF(346,248) = HCF(594,346) = HCF(940,594) .

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

Step 1: Since 176 > 2, we apply the division lemma to 176 and 2, to get

176 = 2 x 88 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 176 is 2

Notice that 2 = HCF(176,2) .

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Frequently Asked Questions on HCF of 940, 594, 176 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 940, 594, 176?

Answer: HCF of 940, 594, 176 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 940, 594, 176 using Euclid's Algorithm?

Answer: For arbitrary numbers 940, 594, 176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.