Highest Common Factor of 834, 88325 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 834, 88325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 834, 88325 is 1 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 834, 88325 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 834, 88325 is 1.
HCF(834, 88325) = 1
HCF of 834, 88325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 834, 88325 is 1.
Highest Common Factor of 834,88325 is 1
Step 1: Since 88325 > 834, we apply the division lemma to 88325 and 834, to get
88325 = 834 x 105 + 755
Step 2: Since the reminder 834 ≠ 0, we apply division lemma to 755 and 834, to get
834 = 755 x 1 + 79
Step 3: We consider the new divisor 755 and the new remainder 79, and apply the division lemma to get
755 = 79 x 9 + 44
We consider the new divisor 79 and the new remainder 44,and apply the division lemma to get
79 = 44 x 1 + 35
We consider the new divisor 44 and the new remainder 35,and apply the division lemma to get
44 = 35 x 1 + 9
We consider the new divisor 35 and the new remainder 9,and apply the division lemma to get
35 = 9 x 3 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 834 and 88325 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(35,9) = HCF(44,35) = HCF(79,44) = HCF(755,79) = HCF(834,755) = HCF(88325,834) .
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Frequently Asked Questions on HCF of 834, 88325 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 834, 88325?
Answer: HCF of 834, 88325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 834, 88325 using Euclid's Algorithm?
Answer: For arbitrary numbers 834, 88325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.