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 430, 630 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 430, 630 is 10 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 430, 630 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 430, 630 is 10.
HCF(430, 630) = 10
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 430, 630 is 10.
Step 1: Since 630 > 430, we apply the division lemma to 630 and 430, to get
630 = 430 x 1 + 200
Step 2: Since the reminder 430 ≠ 0, we apply division lemma to 200 and 430, to get
430 = 200 x 2 + 30
Step 3: We consider the new divisor 200 and the new remainder 30, and apply the division lemma to get
200 = 30 x 6 + 20
We consider the new divisor 30 and the new remainder 20,and apply the division lemma to get
30 = 20 x 1 + 10
We consider the new divisor 20 and the new remainder 10,and apply the division lemma to get
20 = 10 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 430 and 630 is 10
Notice that 10 = HCF(20,10) = HCF(30,20) = HCF(200,30) = HCF(430,200) = HCF(630,430) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 430, 630?
Answer: HCF of 430, 630 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 430, 630 using Euclid's Algorithm?
Answer: For arbitrary numbers 430, 630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.