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, 356 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 214, 356 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, 356 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, 356 is 2.
HCF(214, 356) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 214, 356 is 2.
Step 1: Since 356 > 214, we apply the division lemma to 356 and 214, to get
356 = 214 x 1 + 142
Step 2: Since the reminder 214 ≠ 0, we apply division lemma to 142 and 214, to get
214 = 142 x 1 + 72
Step 3: We consider the new divisor 142 and the new remainder 72, and apply the division lemma to get
142 = 72 x 1 + 70
We consider the new divisor 72 and the new remainder 70,and apply the division lemma to get
72 = 70 x 1 + 2
We consider the new divisor 70 and the new remainder 2,and apply the division lemma to get
70 = 2 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 214 and 356 is 2
Notice that 2 = HCF(70,2) = HCF(72,70) = HCF(142,72) = HCF(214,142) = HCF(356,214) .
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 214, 356?
Answer: HCF of 214, 356 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 214, 356 using Euclid's Algorithm?
Answer: For arbitrary numbers 214, 356 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.