Highest Common Factor of 1950, 9973, 96678 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 1950, 9973, 96678 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1950, 9973, 96678 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 1950, 9973, 96678 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 1950, 9973, 96678 is 1.

HCF(1950, 9973, 96678) = 1

HCF of 1950, 9973, 96678 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 1950, 9973, 96678 is 1.

Highest Common Factor of 1950,9973,96678 using Euclid's algorithm

Highest Common Factor of 1950,9973,96678 is 1

Step 1: Since 9973 > 1950, we apply the division lemma to 9973 and 1950, to get

9973 = 1950 x 5 + 223

Step 2: Since the reminder 1950 ≠ 0, we apply division lemma to 223 and 1950, to get

1950 = 223 x 8 + 166

Step 3: We consider the new divisor 223 and the new remainder 166, and apply the division lemma to get

223 = 166 x 1 + 57

We consider the new divisor 166 and the new remainder 57,and apply the division lemma to get

166 = 57 x 2 + 52

We consider the new divisor 57 and the new remainder 52,and apply the division lemma to get

57 = 52 x 1 + 5

We consider the new divisor 52 and the new remainder 5,and apply the division lemma to get

52 = 5 x 10 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 1950 and 9973 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(52,5) = HCF(57,52) = HCF(166,57) = HCF(223,166) = HCF(1950,223) = HCF(9973,1950) .

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

Step 1: Since 96678 > 1, we apply the division lemma to 96678 and 1, to get

96678 = 1 x 96678 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96678 is 1

Notice that 1 = HCF(96678,1) .

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Frequently Asked Questions on HCF of 1950, 9973, 96678 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 1950, 9973, 96678?

Answer: HCF of 1950, 9973, 96678 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1950, 9973, 96678 using Euclid's Algorithm?

Answer: For arbitrary numbers 1950, 9973, 96678 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.