Highest Common Factor of 900, 74367 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 900, 74367 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 900, 74367 is 9 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 900, 74367 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 900, 74367 is 9.
HCF(900, 74367) = 9
HCF of 900, 74367 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 900, 74367 is 9.
Highest Common Factor of 900,74367 is 9
Step 1: Since 74367 > 900, we apply the division lemma to 74367 and 900, to get
74367 = 900 x 82 + 567
Step 2: Since the reminder 900 ≠ 0, we apply division lemma to 567 and 900, to get
900 = 567 x 1 + 333
Step 3: We consider the new divisor 567 and the new remainder 333, and apply the division lemma to get
567 = 333 x 1 + 234
We consider the new divisor 333 and the new remainder 234,and apply the division lemma to get
333 = 234 x 1 + 99
We consider the new divisor 234 and the new remainder 99,and apply the division lemma to get
234 = 99 x 2 + 36
We consider the new divisor 99 and the new remainder 36,and apply the division lemma to get
99 = 36 x 2 + 27
We consider the new divisor 36 and the new remainder 27,and apply the division lemma to get
36 = 27 x 1 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 900 and 74367 is 9
Notice that 9 = HCF(27,9) = HCF(36,27) = HCF(99,36) = HCF(234,99) = HCF(333,234) = HCF(567,333) = HCF(900,567) = HCF(74367,900) .
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Frequently Asked Questions on HCF of 900, 74367 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 900, 74367?
Answer: HCF of 900, 74367 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 900, 74367 using Euclid's Algorithm?
Answer: For arbitrary numbers 900, 74367 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
