Highest Common Factor of 895, 329 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 895, 329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 895, 329 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 895, 329 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 895, 329 is 1.
HCF(895, 329) = 1
HCF of 895, 329 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 895, 329 is 1.
Highest Common Factor of 895,329 is 1
Step 1: Since 895 > 329, we apply the division lemma to 895 and 329, to get
895 = 329 x 2 + 237
Step 2: Since the reminder 329 ≠ 0, we apply division lemma to 237 and 329, to get
329 = 237 x 1 + 92
Step 3: We consider the new divisor 237 and the new remainder 92, and apply the division lemma to get
237 = 92 x 2 + 53
We consider the new divisor 92 and the new remainder 53,and apply the division lemma to get
92 = 53 x 1 + 39
We consider the new divisor 53 and the new remainder 39,and apply the division lemma to get
53 = 39 x 1 + 14
We consider the new divisor 39 and the new remainder 14,and apply the division lemma to get
39 = 14 x 2 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 895 and 329 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(39,14) = HCF(53,39) = HCF(92,53) = HCF(237,92) = HCF(329,237) = HCF(895,329) .
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Frequently Asked Questions on HCF of 895, 329 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 895, 329?
Answer: HCF of 895, 329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 895, 329 using Euclid's Algorithm?
Answer: For arbitrary numbers 895, 329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
