Highest Common Factor of 1189, 8610 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 1189, 8610 i.e. 41 the largest integer that leaves a remainder zero for all numbers.
HCF of 1189, 8610 is 41 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 1189, 8610 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 1189, 8610 is 41.
HCF(1189, 8610) = 41
HCF of 1189, 8610 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1189, 8610 is 41.
Highest Common Factor of 1189,8610 is 41
Step 1: Since 8610 > 1189, we apply the division lemma to 8610 and 1189, to get
8610 = 1189 x 7 + 287
Step 2: Since the reminder 1189 ≠ 0, we apply division lemma to 287 and 1189, to get
1189 = 287 x 4 + 41
Step 3: We consider the new divisor 287 and the new remainder 41, and apply the division lemma to get
287 = 41 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 41, the HCF of 1189 and 8610 is 41
Notice that 41 = HCF(287,41) = HCF(1189,287) = HCF(8610,1189) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1189, 8610 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 1189, 8610?
Answer: HCF of 1189, 8610 is 41 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1189, 8610 using Euclid's Algorithm?
Answer: For arbitrary numbers 1189, 8610 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.