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 4433, 5352, 36985 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4433, 5352, 36985 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 4433, 5352, 36985 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 4433, 5352, 36985 is 1.
HCF(4433, 5352, 36985) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4433, 5352, 36985 is 1.
Step 1: Since 5352 > 4433, we apply the division lemma to 5352 and 4433, to get
5352 = 4433 x 1 + 919
Step 2: Since the reminder 4433 ≠ 0, we apply division lemma to 919 and 4433, to get
4433 = 919 x 4 + 757
Step 3: We consider the new divisor 919 and the new remainder 757, and apply the division lemma to get
919 = 757 x 1 + 162
We consider the new divisor 757 and the new remainder 162,and apply the division lemma to get
757 = 162 x 4 + 109
We consider the new divisor 162 and the new remainder 109,and apply the division lemma to get
162 = 109 x 1 + 53
We consider the new divisor 109 and the new remainder 53,and apply the division lemma to get
109 = 53 x 2 + 3
We consider the new divisor 53 and the new remainder 3,and apply the division lemma to get
53 = 3 x 17 + 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 4433 and 5352 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(53,3) = HCF(109,53) = HCF(162,109) = HCF(757,162) = HCF(919,757) = HCF(4433,919) = HCF(5352,4433) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36985 > 1, we apply the division lemma to 36985 and 1, to get
36985 = 1 x 36985 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36985 is 1
Notice that 1 = HCF(36985,1) .
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 4433, 5352, 36985?
Answer: HCF of 4433, 5352, 36985 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4433, 5352, 36985 using Euclid's Algorithm?
Answer: For arbitrary numbers 4433, 5352, 36985 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.