Highest Common Factor of 283, 988, 442 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 283, 988, 442 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 283, 988, 442 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 283, 988, 442 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 283, 988, 442 is 1.
HCF(283, 988, 442) = 1
HCF of 283, 988, 442 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 283, 988, 442 is 1.
Highest Common Factor of 283,988,442 is 1
Step 1: Since 988 > 283, we apply the division lemma to 988 and 283, to get
988 = 283 x 3 + 139
Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 139 and 283, to get
283 = 139 x 2 + 5
Step 3: We consider the new divisor 139 and the new remainder 5, and apply the division lemma to get
139 = 5 x 27 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 283 and 988 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(139,5) = HCF(283,139) = HCF(988,283) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 442 > 1, we apply the division lemma to 442 and 1, to get
442 = 1 x 442 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 442 is 1
Notice that 1 = HCF(442,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 283, 988, 442 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 283, 988, 442?
Answer: HCF of 283, 988, 442 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 283, 988, 442 using Euclid's Algorithm?
Answer: For arbitrary numbers 283, 988, 442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
