Highest Common Factor of 630, 22451 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 630, 22451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 630, 22451 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 630, 22451 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 630, 22451 is 1.
HCF(630, 22451) = 1
HCF of 630, 22451 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 630, 22451 is 1.
Highest Common Factor of 630,22451 is 1
Step 1: Since 22451 > 630, we apply the division lemma to 22451 and 630, to get
22451 = 630 x 35 + 401
Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 401 and 630, to get
630 = 401 x 1 + 229
Step 3: We consider the new divisor 401 and the new remainder 229, and apply the division lemma to get
401 = 229 x 1 + 172
We consider the new divisor 229 and the new remainder 172,and apply the division lemma to get
229 = 172 x 1 + 57
We consider the new divisor 172 and the new remainder 57,and apply the division lemma to get
172 = 57 x 3 + 1
We consider the new divisor 57 and the new remainder 1,and apply the division lemma to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 630 and 22451 is 1
Notice that 1 = HCF(57,1) = HCF(172,57) = HCF(229,172) = HCF(401,229) = HCF(630,401) = HCF(22451,630) .
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Frequently Asked Questions on HCF of 630, 22451 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 630, 22451?
Answer: HCF of 630, 22451 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 630, 22451 using Euclid's Algorithm?
Answer: For arbitrary numbers 630, 22451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.