Highest Common Factor of 942, 662, 732 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 942, 662, 732 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 942, 662, 732 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 942, 662, 732 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 942, 662, 732 is 2.

HCF(942, 662, 732) = 2

HCF of 942, 662, 732 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 942, 662, 732 is 2.

Highest Common Factor of 942,662,732 using Euclid's algorithm

Highest Common Factor of 942,662,732 is 2

Step 1: Since 942 > 662, we apply the division lemma to 942 and 662, to get

942 = 662 x 1 + 280

Step 2: Since the reminder 662 ≠ 0, we apply division lemma to 280 and 662, to get

662 = 280 x 2 + 102

Step 3: We consider the new divisor 280 and the new remainder 102, and apply the division lemma to get

280 = 102 x 2 + 76

We consider the new divisor 102 and the new remainder 76,and apply the division lemma to get

102 = 76 x 1 + 26

We consider the new divisor 76 and the new remainder 26,and apply the division lemma to get

76 = 26 x 2 + 24

We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get

26 = 24 x 1 + 2

We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get

24 = 2 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 942 and 662 is 2

Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(76,26) = HCF(102,76) = HCF(280,102) = HCF(662,280) = HCF(942,662) .

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

Step 1: Since 732 > 2, we apply the division lemma to 732 and 2, to get

732 = 2 x 366 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 732 is 2

Notice that 2 = HCF(732,2) .

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Frequently Asked Questions on HCF of 942, 662, 732 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 942, 662, 732?

Answer: HCF of 942, 662, 732 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 942, 662, 732 using Euclid's Algorithm?

Answer: For arbitrary numbers 942, 662, 732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.