Highest Common Factor of 896, 635, 814 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 896, 635, 814 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 896, 635, 814 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 896, 635, 814 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 896, 635, 814 is 1.
HCF(896, 635, 814) = 1
HCF of 896, 635, 814 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 896, 635, 814 is 1.
Highest Common Factor of 896,635,814 is 1
Step 1: Since 896 > 635, we apply the division lemma to 896 and 635, to get
896 = 635 x 1 + 261
Step 2: Since the reminder 635 ≠ 0, we apply division lemma to 261 and 635, to get
635 = 261 x 2 + 113
Step 3: We consider the new divisor 261 and the new remainder 113, and apply the division lemma to get
261 = 113 x 2 + 35
We consider the new divisor 113 and the new remainder 35,and apply the division lemma to get
113 = 35 x 3 + 8
We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get
35 = 8 x 4 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 896 and 635 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(113,35) = HCF(261,113) = HCF(635,261) = HCF(896,635) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 814 > 1, we apply the division lemma to 814 and 1, to get
814 = 1 x 814 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 814 is 1
Notice that 1 = HCF(814,1) .
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Frequently Asked Questions on HCF of 896, 635, 814 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 896, 635, 814?
Answer: HCF of 896, 635, 814 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 896, 635, 814 using Euclid's Algorithm?
Answer: For arbitrary numbers 896, 635, 814 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
