Highest Common Factor of 214, 630 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 214, 630 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 214, 630 is 2 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 214, 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 214, 630 is 2.
HCF(214, 630) = 2
HCF of 214, 630 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 214, 630 is 2.
Highest Common Factor of 214,630 is 2
Step 1: Since 630 > 214, we apply the division lemma to 630 and 214, to get
630 = 214 x 2 + 202
Step 2: Since the reminder 214 ≠ 0, we apply division lemma to 202 and 214, to get
214 = 202 x 1 + 12
Step 3: We consider the new divisor 202 and the new remainder 12, and apply the division lemma to get
202 = 12 x 16 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 214 and 630 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(202,12) = HCF(214,202) = HCF(630,214) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 214, 630 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 214, 630?
Answer: HCF of 214, 630 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 214, 630 using Euclid's Algorithm?
Answer: For arbitrary numbers 214, 630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.