Highest Common Factor of 994, 457, 220 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 994, 457, 220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 994, 457, 220 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 994, 457, 220 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 994, 457, 220 is 1.

HCF(994, 457, 220) = 1

HCF of 994, 457, 220 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 994, 457, 220 is 1.

Highest Common Factor of 994,457,220 using Euclid's algorithm

Highest Common Factor of 994,457,220 is 1

Step 1: Since 994 > 457, we apply the division lemma to 994 and 457, to get

994 = 457 x 2 + 80

Step 2: Since the reminder 457 ≠ 0, we apply division lemma to 80 and 457, to get

457 = 80 x 5 + 57

Step 3: We consider the new divisor 80 and the new remainder 57, and apply the division lemma to get

80 = 57 x 1 + 23

We consider the new divisor 57 and the new remainder 23,and apply the division lemma to get

57 = 23 x 2 + 11

We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get

23 = 11 x 2 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 994 and 457 is 1

Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(57,23) = HCF(80,57) = HCF(457,80) = HCF(994,457) .

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

Step 1: Since 220 > 1, we apply the division lemma to 220 and 1, to get

220 = 1 x 220 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 220 is 1

Notice that 1 = HCF(220,1) .

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Frequently Asked Questions on HCF of 994, 457, 220 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 994, 457, 220?

Answer: HCF of 994, 457, 220 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 994, 457, 220 using Euclid's Algorithm?

Answer: For arbitrary numbers 994, 457, 220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.