Highest Common Factor of 620, 993, 178 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 620, 993, 178 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 620, 993, 178 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 620, 993, 178 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 620, 993, 178 is 1.

HCF(620, 993, 178) = 1

HCF of 620, 993, 178 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 620, 993, 178 is 1.

Highest Common Factor of 620,993,178 using Euclid's algorithm

Highest Common Factor of 620,993,178 is 1

Step 1: Since 993 > 620, we apply the division lemma to 993 and 620, to get

993 = 620 x 1 + 373

Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 373 and 620, to get

620 = 373 x 1 + 247

Step 3: We consider the new divisor 373 and the new remainder 247, and apply the division lemma to get

373 = 247 x 1 + 126

We consider the new divisor 247 and the new remainder 126,and apply the division lemma to get

247 = 126 x 1 + 121

We consider the new divisor 126 and the new remainder 121,and apply the division lemma to get

126 = 121 x 1 + 5

We consider the new divisor 121 and the new remainder 5,and apply the division lemma to get

121 = 5 x 24 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 620 and 993 is 1

Notice that 1 = HCF(5,1) = HCF(121,5) = HCF(126,121) = HCF(247,126) = HCF(373,247) = HCF(620,373) = HCF(993,620) .

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

Step 1: Since 178 > 1, we apply the division lemma to 178 and 1, to get

178 = 1 x 178 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 178 is 1

Notice that 1 = HCF(178,1) .

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Frequently Asked Questions on HCF of 620, 993, 178 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 620, 993, 178?

Answer: HCF of 620, 993, 178 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 620, 993, 178 using Euclid's Algorithm?

Answer: For arbitrary numbers 620, 993, 178 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.