Highest Common Factor of 379, 988, 877, 282 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 379, 988, 877, 282 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 379, 988, 877, 282 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 379, 988, 877, 282 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 379, 988, 877, 282 is 1.

HCF(379, 988, 877, 282) = 1

HCF of 379, 988, 877, 282 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 379, 988, 877, 282 is 1.

Highest Common Factor of 379,988,877,282 using Euclid's algorithm

Highest Common Factor of 379,988,877,282 is 1

Step 1: Since 988 > 379, we apply the division lemma to 988 and 379, to get

988 = 379 x 2 + 230

Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 230 and 379, to get

379 = 230 x 1 + 149

Step 3: We consider the new divisor 230 and the new remainder 149, and apply the division lemma to get

230 = 149 x 1 + 81

We consider the new divisor 149 and the new remainder 81,and apply the division lemma to get

149 = 81 x 1 + 68

We consider the new divisor 81 and the new remainder 68,and apply the division lemma to get

81 = 68 x 1 + 13

We consider the new divisor 68 and the new remainder 13,and apply the division lemma to get

68 = 13 x 5 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 379 and 988 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(68,13) = HCF(81,68) = HCF(149,81) = HCF(230,149) = HCF(379,230) = HCF(988,379) .

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

Step 1: Since 877 > 1, we apply the division lemma to 877 and 1, to get

877 = 1 x 877 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 877 is 1

Notice that 1 = HCF(877,1) .

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

Step 1: Since 282 > 1, we apply the division lemma to 282 and 1, to get

282 = 1 x 282 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 282 is 1

Notice that 1 = HCF(282,1) .

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Frequently Asked Questions on HCF of 379, 988, 877, 282 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 379, 988, 877, 282?

Answer: HCF of 379, 988, 877, 282 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 379, 988, 877, 282 using Euclid's Algorithm?

Answer: For arbitrary numbers 379, 988, 877, 282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.