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 216, 9388, 4208 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 216, 9388, 4208 is 4 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 216, 9388, 4208 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 216, 9388, 4208 is 4.
HCF(216, 9388, 4208) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 216, 9388, 4208 is 4.
Step 1: Since 9388 > 216, we apply the division lemma to 9388 and 216, to get
9388 = 216 x 43 + 100
Step 2: Since the reminder 216 ≠ 0, we apply division lemma to 100 and 216, to get
216 = 100 x 2 + 16
Step 3: We consider the new divisor 100 and the new remainder 16, and apply the division lemma to get
100 = 16 x 6 + 4
We consider the new divisor 16 and the new remainder 4, and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 216 and 9388 is 4
Notice that 4 = HCF(16,4) = HCF(100,16) = HCF(216,100) = HCF(9388,216) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4208 > 4, we apply the division lemma to 4208 and 4, to get
4208 = 4 x 1052 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 4208 is 4
Notice that 4 = HCF(4208,4) .
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 216, 9388, 4208?
Answer: HCF of 216, 9388, 4208 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 216, 9388, 4208 using Euclid's Algorithm?
Answer: For arbitrary numbers 216, 9388, 4208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.