Highest Common Factor of 635, 897 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 635, 897 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 635, 897 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 635, 897 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 635, 897 is 1.
HCF(635, 897) = 1
HCF of 635, 897 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 635, 897 is 1.
Highest Common Factor of 635,897 is 1
Step 1: Since 897 > 635, we apply the division lemma to 897 and 635, to get
897 = 635 x 1 + 262
Step 2: Since the reminder 635 ≠ 0, we apply division lemma to 262 and 635, to get
635 = 262 x 2 + 111
Step 3: We consider the new divisor 262 and the new remainder 111, and apply the division lemma to get
262 = 111 x 2 + 40
We consider the new divisor 111 and the new remainder 40,and apply the division lemma to get
111 = 40 x 2 + 31
We consider the new divisor 40 and the new remainder 31,and apply the division lemma to get
40 = 31 x 1 + 9
We consider the new divisor 31 and the new remainder 9,and apply the division lemma to get
31 = 9 x 3 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 635 and 897 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(40,31) = HCF(111,40) = HCF(262,111) = HCF(635,262) = HCF(897,635) .
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Frequently Asked Questions on HCF of 635, 897 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 635, 897?
Answer: HCF of 635, 897 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 635, 897 using Euclid's Algorithm?
Answer: For arbitrary numbers 635, 897 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.