Highest Common Factor of 832, 596, 925 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 832, 596, 925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 832, 596, 925 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 832, 596, 925 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 832, 596, 925 is 1.

HCF(832, 596, 925) = 1

HCF of 832, 596, 925 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 832, 596, 925 is 1.

Highest Common Factor of 832,596,925 using Euclid's algorithm

Highest Common Factor of 832,596,925 is 1

Step 1: Since 832 > 596, we apply the division lemma to 832 and 596, to get

832 = 596 x 1 + 236

Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 236 and 596, to get

596 = 236 x 2 + 124

Step 3: We consider the new divisor 236 and the new remainder 124, and apply the division lemma to get

236 = 124 x 1 + 112

We consider the new divisor 124 and the new remainder 112,and apply the division lemma to get

124 = 112 x 1 + 12

We consider the new divisor 112 and the new remainder 12,and apply the division lemma to get

112 = 12 x 9 + 4

We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get

12 = 4 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 832 and 596 is 4

Notice that 4 = HCF(12,4) = HCF(112,12) = HCF(124,112) = HCF(236,124) = HCF(596,236) = HCF(832,596) .

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

Step 1: Since 925 > 4, we apply the division lemma to 925 and 4, to get

925 = 4 x 231 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 925 is 1

Notice that 1 = HCF(4,1) = HCF(925,4) .

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Frequently Asked Questions on HCF of 832, 596, 925 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 832, 596, 925?

Answer: HCF of 832, 596, 925 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 832, 596, 925 using Euclid's Algorithm?

Answer: For arbitrary numbers 832, 596, 925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.