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 995, 73212 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 995, 73212 is 1 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 995, 73212 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 995, 73212 is 1.
HCF(995, 73212) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 995, 73212 is 1.
Step 1: Since 73212 > 995, we apply the division lemma to 73212 and 995, to get
73212 = 995 x 73 + 577
Step 2: Since the reminder 995 ≠ 0, we apply division lemma to 577 and 995, to get
995 = 577 x 1 + 418
Step 3: We consider the new divisor 577 and the new remainder 418, and apply the division lemma to get
577 = 418 x 1 + 159
We consider the new divisor 418 and the new remainder 159,and apply the division lemma to get
418 = 159 x 2 + 100
We consider the new divisor 159 and the new remainder 100,and apply the division lemma to get
159 = 100 x 1 + 59
We consider the new divisor 100 and the new remainder 59,and apply the division lemma to get
100 = 59 x 1 + 41
We consider the new divisor 59 and the new remainder 41,and apply the division lemma to get
59 = 41 x 1 + 18
We consider the new divisor 41 and the new remainder 18,and apply the division lemma to get
41 = 18 x 2 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 995 and 73212 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(41,18) = HCF(59,41) = HCF(100,59) = HCF(159,100) = HCF(418,159) = HCF(577,418) = HCF(995,577) = HCF(73212,995) .
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 995, 73212?
Answer: HCF of 995, 73212 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 995, 73212 using Euclid's Algorithm?
Answer: For arbitrary numbers 995, 73212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.