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 272, 47212 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 272, 47212 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 272, 47212 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 272, 47212 is 4.
HCF(272, 47212) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 272, 47212 is 4.
Step 1: Since 47212 > 272, we apply the division lemma to 47212 and 272, to get
47212 = 272 x 173 + 156
Step 2: Since the reminder 272 ≠ 0, we apply division lemma to 156 and 272, to get
272 = 156 x 1 + 116
Step 3: We consider the new divisor 156 and the new remainder 116, and apply the division lemma to get
156 = 116 x 1 + 40
We consider the new divisor 116 and the new remainder 40,and apply the division lemma to get
116 = 40 x 2 + 36
We consider the new divisor 40 and the new remainder 36,and apply the division lemma to get
40 = 36 x 1 + 4
We consider the new divisor 36 and the new remainder 4,and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 272 and 47212 is 4
Notice that 4 = HCF(36,4) = HCF(40,36) = HCF(116,40) = HCF(156,116) = HCF(272,156) = HCF(47212,272) .
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 272, 47212?
Answer: HCF of 272, 47212 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 272, 47212 using Euclid's Algorithm?
Answer: For arbitrary numbers 272, 47212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.