Highest Common Factor of 940, 596, 108 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, 596, 108 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 940, 596, 108 is 4 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, 596, 108 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, 596, 108 is 4.

HCF(940, 596, 108) = 4

HCF of 940, 596, 108 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, 596, 108 is 4.

Highest Common Factor of 940,596,108 using Euclid's algorithm

Highest Common Factor of 940,596,108 is 4

Step 1: Since 940 > 596, we apply the division lemma to 940 and 596, to get

940 = 596 x 1 + 344

Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 344 and 596, to get

596 = 344 x 1 + 252

Step 3: We consider the new divisor 344 and the new remainder 252, and apply the division lemma to get

344 = 252 x 1 + 92

We consider the new divisor 252 and the new remainder 92,and apply the division lemma to get

252 = 92 x 2 + 68

We consider the new divisor 92 and the new remainder 68,and apply the division lemma to get

92 = 68 x 1 + 24

We consider the new divisor 68 and the new remainder 24,and apply the division lemma to get

68 = 24 x 2 + 20

We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get

24 = 20 x 1 + 4

We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get

20 = 4 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 940 and 596 is 4

Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(68,24) = HCF(92,68) = HCF(252,92) = HCF(344,252) = HCF(596,344) = HCF(940,596) .

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

Step 1: Since 108 > 4, we apply the division lemma to 108 and 4, to get

108 = 4 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 108 is 4

Notice that 4 = HCF(108,4) .

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Frequently Asked Questions on HCF of 940, 596, 108 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, 596, 108?

Answer: HCF of 940, 596, 108 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 940, 596, 108 using Euclid's Algorithm?

Answer: For arbitrary numbers 940, 596, 108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.