Highest Common Factor of 696, 528, 924 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 696, 528, 924 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 696, 528, 924 is 12 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 696, 528, 924 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 696, 528, 924 is 12.
HCF(696, 528, 924) = 12
HCF of 696, 528, 924 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 696, 528, 924 is 12.
Highest Common Factor of 696,528,924 is 12
Step 1: Since 696 > 528, we apply the division lemma to 696 and 528, to get
696 = 528 x 1 + 168
Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 168 and 528, to get
528 = 168 x 3 + 24
Step 3: We consider the new divisor 168 and the new remainder 24, and apply the division lemma to get
168 = 24 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 696 and 528 is 24
Notice that 24 = HCF(168,24) = HCF(528,168) = HCF(696,528) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 924 > 24, we apply the division lemma to 924 and 24, to get
924 = 24 x 38 + 12
Step 2: Since the reminder 24 ≠ 0, we apply division lemma to 12 and 24, to get
24 = 12 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 24 and 924 is 12
Notice that 12 = HCF(24,12) = HCF(924,24) .
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Frequently Asked Questions on HCF of 696, 528, 924 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 696, 528, 924?
Answer: HCF of 696, 528, 924 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 696, 528, 924 using Euclid's Algorithm?
Answer: For arbitrary numbers 696, 528, 924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.