Highest Common Factor of 942, 677, 983 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, 677, 983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 942, 677, 983 is 1 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, 677, 983 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, 677, 983 is 1.

HCF(942, 677, 983) = 1

HCF of 942, 677, 983 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, 677, 983 is 1.

Highest Common Factor of 942,677,983 using Euclid's algorithm

Highest Common Factor of 942,677,983 is 1

Step 1: Since 942 > 677, we apply the division lemma to 942 and 677, to get

942 = 677 x 1 + 265

Step 2: Since the reminder 677 ≠ 0, we apply division lemma to 265 and 677, to get

677 = 265 x 2 + 147

Step 3: We consider the new divisor 265 and the new remainder 147, and apply the division lemma to get

265 = 147 x 1 + 118

We consider the new divisor 147 and the new remainder 118,and apply the division lemma to get

147 = 118 x 1 + 29

We consider the new divisor 118 and the new remainder 29,and apply the division lemma to get

118 = 29 x 4 + 2

We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get

29 = 2 x 14 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 942 and 677 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(118,29) = HCF(147,118) = HCF(265,147) = HCF(677,265) = HCF(942,677) .

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

Step 1: Since 983 > 1, we apply the division lemma to 983 and 1, to get

983 = 1 x 983 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 983 is 1

Notice that 1 = HCF(983,1) .

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Frequently Asked Questions on HCF of 942, 677, 983 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, 677, 983?

Answer: HCF of 942, 677, 983 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 942, 677, 983 using Euclid's Algorithm?

Answer: For arbitrary numbers 942, 677, 983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.