Highest Common Factor of 825, 88494 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, 88494 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 825, 88494 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, 88494 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, 88494 is 3.
HCF(825, 88494) = 3
HCF of 825, 88494 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, 88494 is 3.
Highest Common Factor of 825,88494 is 3
Step 1: Since 88494 > 825, we apply the division lemma to 88494 and 825, to get
88494 = 825 x 107 + 219
Step 2: Since the reminder 825 ≠ 0, we apply division lemma to 219 and 825, to get
825 = 219 x 3 + 168
Step 3: We consider the new divisor 219 and the new remainder 168, and apply the division lemma to get
219 = 168 x 1 + 51
We consider the new divisor 168 and the new remainder 51,and apply the division lemma to get
168 = 51 x 3 + 15
We consider the new divisor 51 and the new remainder 15,and apply the division lemma to get
51 = 15 x 3 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 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 88494 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(51,15) = HCF(168,51) = HCF(219,168) = HCF(825,219) = HCF(88494,825) .
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Frequently Asked Questions on HCF of 825, 88494 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, 88494?
Answer: HCF of 825, 88494 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 825, 88494 using Euclid's Algorithm?
Answer: For arbitrary numbers 825, 88494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.