Highest Common Factor of 800, 9324 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 800, 9324 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 9324 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 800, 9324 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 800, 9324 is 4.
HCF(800, 9324) = 4
HCF of 800, 9324 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 9324 is 4.
Highest Common Factor of 800,9324 is 4
Step 1: Since 9324 > 800, we apply the division lemma to 9324 and 800, to get
9324 = 800 x 11 + 524
Step 2: Since the reminder 800 ≠ 0, we apply division lemma to 524 and 800, to get
800 = 524 x 1 + 276
Step 3: We consider the new divisor 524 and the new remainder 276, and apply the division lemma to get
524 = 276 x 1 + 248
We consider the new divisor 276 and the new remainder 248,and apply the division lemma to get
276 = 248 x 1 + 28
We consider the new divisor 248 and the new remainder 28,and apply the division lemma to get
248 = 28 x 8 + 24
We consider the new divisor 28 and the new remainder 24,and apply the division lemma to get
28 = 24 x 1 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 800 and 9324 is 4
Notice that 4 = HCF(24,4) = HCF(28,24) = HCF(248,28) = HCF(276,248) = HCF(524,276) = HCF(800,524) = HCF(9324,800) .
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Frequently Asked Questions on HCF of 800, 9324 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 800, 9324?
Answer: HCF of 800, 9324 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 9324 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 9324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.