Highest Common Factor of 4989, 2228, 80162 using Euclid's algorithm
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 4989, 2228, 80162 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4989, 2228, 80162 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 4989, 2228, 80162 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 4989, 2228, 80162 is 1.
HCF(4989, 2228, 80162) = 1
HCF of 4989, 2228, 80162 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4989, 2228, 80162 is 1.
Highest Common Factor of 4989,2228,80162 is 1
Step 1: Since 4989 > 2228, we apply the division lemma to 4989 and 2228, to get
4989 = 2228 x 2 + 533
Step 2: Since the reminder 2228 ≠ 0, we apply division lemma to 533 and 2228, to get
2228 = 533 x 4 + 96
Step 3: We consider the new divisor 533 and the new remainder 96, and apply the division lemma to get
533 = 96 x 5 + 53
We consider the new divisor 96 and the new remainder 53,and apply the division lemma to get
96 = 53 x 1 + 43
We consider the new divisor 53 and the new remainder 43,and apply the division lemma to get
53 = 43 x 1 + 10
We consider the new divisor 43 and the new remainder 10,and apply the division lemma to get
43 = 10 x 4 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4989 and 2228 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(43,10) = HCF(53,43) = HCF(96,53) = HCF(533,96) = HCF(2228,533) = HCF(4989,2228) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80162 > 1, we apply the division lemma to 80162 and 1, to get
80162 = 1 x 80162 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80162 is 1
Notice that 1 = HCF(80162,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4989, 2228, 80162 using Euclid's Algorithm
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 4989, 2228, 80162?
Answer: HCF of 4989, 2228, 80162 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4989, 2228, 80162 using Euclid's Algorithm?
Answer: For arbitrary numbers 4989, 2228, 80162 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.