Highest Common Factor of 970, 592, 377, 222 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 970, 592, 377, 222 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 970, 592, 377, 222 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 970, 592, 377, 222 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 970, 592, 377, 222 is 1.

HCF(970, 592, 377, 222) = 1

HCF of 970, 592, 377, 222 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 970, 592, 377, 222 is 1.

Highest Common Factor of 970,592,377,222 using Euclid's algorithm

Highest Common Factor of 970,592,377,222 is 1

Step 1: Since 970 > 592, we apply the division lemma to 970 and 592, to get

970 = 592 x 1 + 378

Step 2: Since the reminder 592 ≠ 0, we apply division lemma to 378 and 592, to get

592 = 378 x 1 + 214

Step 3: We consider the new divisor 378 and the new remainder 214, and apply the division lemma to get

378 = 214 x 1 + 164

We consider the new divisor 214 and the new remainder 164,and apply the division lemma to get

214 = 164 x 1 + 50

We consider the new divisor 164 and the new remainder 50,and apply the division lemma to get

164 = 50 x 3 + 14

We consider the new divisor 50 and the new remainder 14,and apply the division lemma to get

50 = 14 x 3 + 8

We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get

14 = 8 x 1 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 970 and 592 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(50,14) = HCF(164,50) = HCF(214,164) = HCF(378,214) = HCF(592,378) = HCF(970,592) .

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

Step 1: Since 377 > 2, we apply the division lemma to 377 and 2, to get

377 = 2 x 188 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 377 is 1

Notice that 1 = HCF(2,1) = HCF(377,2) .

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

Step 1: Since 222 > 1, we apply the division lemma to 222 and 1, to get

222 = 1 x 222 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 222 is 1

Notice that 1 = HCF(222,1) .

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Frequently Asked Questions on HCF of 970, 592, 377, 222 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 970, 592, 377, 222?

Answer: HCF of 970, 592, 377, 222 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 970, 592, 377, 222 using Euclid's Algorithm?

Answer: For arbitrary numbers 970, 592, 377, 222 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.