Highest Common Factor of 825, 74583 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 825, 74583 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 825, 74583 is 3 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 825, 74583 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 825, 74583 is 3.
HCF(825, 74583) = 3
HCF of 825, 74583 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 825, 74583 is 3.
Highest Common Factor of 825,74583 is 3
Step 1: Since 74583 > 825, we apply the division lemma to 74583 and 825, to get
74583 = 825 x 90 + 333
Step 2: Since the reminder 825 ≠ 0, we apply division lemma to 333 and 825, to get
825 = 333 x 2 + 159
Step 3: We consider the new divisor 333 and the new remainder 159, and apply the division lemma to get
333 = 159 x 2 + 15
We consider the new divisor 159 and the new remainder 15,and apply the division lemma to get
159 = 15 x 10 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 825 and 74583 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(159,15) = HCF(333,159) = HCF(825,333) = HCF(74583,825) .
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Frequently Asked Questions on HCF of 825, 74583 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 825, 74583?
Answer: HCF of 825, 74583 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 825, 74583 using Euclid's Algorithm?
Answer: For arbitrary numbers 825, 74583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.