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 4429, 4827, 85846 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4429, 4827, 85846 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 4429, 4827, 85846 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 4429, 4827, 85846 is 1.
HCF(4429, 4827, 85846) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4429, 4827, 85846 is 1.
Step 1: Since 4827 > 4429, we apply the division lemma to 4827 and 4429, to get
4827 = 4429 x 1 + 398
Step 2: Since the reminder 4429 ≠ 0, we apply division lemma to 398 and 4429, to get
4429 = 398 x 11 + 51
Step 3: We consider the new divisor 398 and the new remainder 51, and apply the division lemma to get
398 = 51 x 7 + 41
We consider the new divisor 51 and the new remainder 41,and apply the division lemma to get
51 = 41 x 1 + 10
We consider the new divisor 41 and the new remainder 10,and apply the division lemma to get
41 = 10 x 4 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4429 and 4827 is 1
Notice that 1 = HCF(10,1) = HCF(41,10) = HCF(51,41) = HCF(398,51) = HCF(4429,398) = HCF(4827,4429) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 85846 > 1, we apply the division lemma to 85846 and 1, to get
85846 = 1 x 85846 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85846 is 1
Notice that 1 = HCF(85846,1) .
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 4429, 4827, 85846?
Answer: HCF of 4429, 4827, 85846 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4429, 4827, 85846 using Euclid's Algorithm?
Answer: For arbitrary numbers 4429, 4827, 85846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.