Highest Common Factor of 635, 176 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, 176 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 635, 176 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, 176 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, 176 is 1.
HCF(635, 176) = 1
HCF of 635, 176 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, 176 is 1.
Highest Common Factor of 635,176 is 1
Step 1: Since 635 > 176, we apply the division lemma to 635 and 176, to get
635 = 176 x 3 + 107
Step 2: Since the reminder 176 ≠ 0, we apply division lemma to 107 and 176, to get
176 = 107 x 1 + 69
Step 3: We consider the new divisor 107 and the new remainder 69, and apply the division lemma to get
107 = 69 x 1 + 38
We consider the new divisor 69 and the new remainder 38,and apply the division lemma to get
69 = 38 x 1 + 31
We consider the new divisor 38 and the new remainder 31,and apply the division lemma to get
38 = 31 x 1 + 7
We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get
31 = 7 x 4 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 635 and 176 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(38,31) = HCF(69,38) = HCF(107,69) = HCF(176,107) = HCF(635,176) .
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Frequently Asked Questions on HCF of 635, 176 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, 176?
Answer: HCF of 635, 176 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 635, 176 using Euclid's Algorithm?
Answer: For arbitrary numbers 635, 176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.