Highest Common Factor of 371, 89 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 371, 89 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 371, 89 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 371, 89 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 371, 89 is 1.
HCF(371, 89) = 1
HCF of 371, 89 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 371, 89 is 1.
Highest Common Factor of 371,89 is 1
Step 1: Since 371 > 89, we apply the division lemma to 371 and 89, to get
371 = 89 x 4 + 15
Step 2: Since the reminder 89 ≠ 0, we apply division lemma to 15 and 89, to get
89 = 15 x 5 + 14
Step 3: We consider the new divisor 15 and the new remainder 14, and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1, and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 371 and 89 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(89,15) = HCF(371,89) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 371, 89 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 371, 89?
Answer: HCF of 371, 89 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 371, 89 using Euclid's Algorithm?
Answer: For arbitrary numbers 371, 89 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.