Highest Common Factor of 988, 714, 497, 388 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 988, 714, 497, 388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 988, 714, 497, 388 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 988, 714, 497, 388 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 988, 714, 497, 388 is 1.

HCF(988, 714, 497, 388) = 1

HCF of 988, 714, 497, 388 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 988, 714, 497, 388 is 1.

Highest Common Factor of 988,714,497,388 using Euclid's algorithm

Highest Common Factor of 988,714,497,388 is 1

Step 1: Since 988 > 714, we apply the division lemma to 988 and 714, to get

988 = 714 x 1 + 274

Step 2: Since the reminder 714 ≠ 0, we apply division lemma to 274 and 714, to get

714 = 274 x 2 + 166

Step 3: We consider the new divisor 274 and the new remainder 166, and apply the division lemma to get

274 = 166 x 1 + 108

We consider the new divisor 166 and the new remainder 108,and apply the division lemma to get

166 = 108 x 1 + 58

We consider the new divisor 108 and the new remainder 58,and apply the division lemma to get

108 = 58 x 1 + 50

We consider the new divisor 58 and the new remainder 50,and apply the division lemma to get

58 = 50 x 1 + 8

We consider the new divisor 50 and the new remainder 8,and apply the division lemma to get

50 = 8 x 6 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 988 and 714 is 2

Notice that 2 = HCF(8,2) = HCF(50,8) = HCF(58,50) = HCF(108,58) = HCF(166,108) = HCF(274,166) = HCF(714,274) = HCF(988,714) .

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

Step 1: Since 497 > 2, we apply the division lemma to 497 and 2, to get

497 = 2 x 248 + 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 497 is 1

Notice that 1 = HCF(2,1) = HCF(497,2) .

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

Step 1: Since 388 > 1, we apply the division lemma to 388 and 1, to get

388 = 1 x 388 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 388 is 1

Notice that 1 = HCF(388,1) .

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Frequently Asked Questions on HCF of 988, 714, 497, 388 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 988, 714, 497, 388?

Answer: HCF of 988, 714, 497, 388 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 988, 714, 497, 388 using Euclid's Algorithm?

Answer: For arbitrary numbers 988, 714, 497, 388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.