Highest Common Factor of 988, 380, 856 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, 380, 856 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 988, 380, 856 is 4 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, 380, 856 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, 380, 856 is 4.

HCF(988, 380, 856) = 4

HCF of 988, 380, 856 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, 380, 856 is 4.

Highest Common Factor of 988,380,856 using Euclid's algorithm

Highest Common Factor of 988,380,856 is 4

Step 1: Since 988 > 380, we apply the division lemma to 988 and 380, to get

988 = 380 x 2 + 228

Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 228 and 380, to get

380 = 228 x 1 + 152

Step 3: We consider the new divisor 228 and the new remainder 152, and apply the division lemma to get

228 = 152 x 1 + 76

We consider the new divisor 152 and the new remainder 76, and apply the division lemma to get

152 = 76 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 76, the HCF of 988 and 380 is 76

Notice that 76 = HCF(152,76) = HCF(228,152) = HCF(380,228) = HCF(988,380) .

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

Step 1: Since 856 > 76, we apply the division lemma to 856 and 76, to get

856 = 76 x 11 + 20

Step 2: Since the reminder 76 ≠ 0, we apply division lemma to 20 and 76, to get

76 = 20 x 3 + 16

Step 3: We consider the new divisor 20 and the new remainder 16, and apply the division lemma to get

20 = 16 x 1 + 4

We consider the new divisor 16 and the new remainder 4, and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 76 and 856 is 4

Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(76,20) = HCF(856,76) .

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Frequently Asked Questions on HCF of 988, 380, 856 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, 380, 856?

Answer: HCF of 988, 380, 856 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 988, 380, 856 using Euclid's Algorithm?

Answer: For arbitrary numbers 988, 380, 856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.