Highest Common Factor of 992, 832, 504 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 992, 832, 504 i.e. 8 the largest integer that leaves a remainder zero for all numbers.

HCF of 992, 832, 504 is 8 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 992, 832, 504 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 992, 832, 504 is 8.

HCF(992, 832, 504) = 8

HCF of 992, 832, 504 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 992, 832, 504 is 8.

Highest Common Factor of 992,832,504 using Euclid's algorithm

Highest Common Factor of 992,832,504 is 8

Step 1: Since 992 > 832, we apply the division lemma to 992 and 832, to get

992 = 832 x 1 + 160

Step 2: Since the reminder 832 ≠ 0, we apply division lemma to 160 and 832, to get

832 = 160 x 5 + 32

Step 3: We consider the new divisor 160 and the new remainder 32, and apply the division lemma to get

160 = 32 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 992 and 832 is 32

Notice that 32 = HCF(160,32) = HCF(832,160) = HCF(992,832) .


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

Step 1: Since 504 > 32, we apply the division lemma to 504 and 32, to get

504 = 32 x 15 + 24

Step 2: Since the reminder 32 ≠ 0, we apply division lemma to 24 and 32, to get

32 = 24 x 1 + 8

Step 3: We consider the new divisor 24 and the new remainder 8, and apply the division lemma to get

24 = 8 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 32 and 504 is 8

Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(504,32) .

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Frequently Asked Questions on HCF of 992, 832, 504 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 992, 832, 504?

Answer: HCF of 992, 832, 504 is 8 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 992, 832, 504 using Euclid's Algorithm?

Answer: For arbitrary numbers 992, 832, 504 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.