Highest Common Factor of 376, 948, 791, 31 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 376, 948, 791, 31 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 376, 948, 791, 31 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 376, 948, 791, 31 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 376, 948, 791, 31 is 1.

HCF(376, 948, 791, 31) = 1

HCF of 376, 948, 791, 31 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 376, 948, 791, 31 is 1.

Highest Common Factor of 376,948,791,31 using Euclid's algorithm

Highest Common Factor of 376,948,791,31 is 1

Step 1: Since 948 > 376, we apply the division lemma to 948 and 376, to get

948 = 376 x 2 + 196

Step 2: Since the reminder 376 ≠ 0, we apply division lemma to 196 and 376, to get

376 = 196 x 1 + 180

Step 3: We consider the new divisor 196 and the new remainder 180, and apply the division lemma to get

196 = 180 x 1 + 16

We consider the new divisor 180 and the new remainder 16,and apply the division lemma to get

180 = 16 x 11 + 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 376 and 948 is 4

Notice that 4 = HCF(16,4) = HCF(180,16) = HCF(196,180) = HCF(376,196) = HCF(948,376) .

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

Step 1: Since 791 > 4, we apply the division lemma to 791 and 4, to get

791 = 4 x 197 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: 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 4 and 791 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(791,4) .

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

Step 1: Since 31 > 1, we apply the division lemma to 31 and 1, to get

31 = 1 x 31 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31 is 1

Notice that 1 = HCF(31,1) .

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Frequently Asked Questions on HCF of 376, 948, 791, 31 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 376, 948, 791, 31?

Answer: HCF of 376, 948, 791, 31 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 376, 948, 791, 31 using Euclid's Algorithm?

Answer: For arbitrary numbers 376, 948, 791, 31 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.