Highest Common Factor of 8937, 399 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 8937, 399 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8937, 399 is 3 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 8937, 399 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 8937, 399 is 3.
HCF(8937, 399) = 3
HCF of 8937, 399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8937, 399 is 3.
Highest Common Factor of 8937,399 is 3
Step 1: Since 8937 > 399, we apply the division lemma to 8937 and 399, to get
8937 = 399 x 22 + 159
Step 2: Since the reminder 399 ≠ 0, we apply division lemma to 159 and 399, to get
399 = 159 x 2 + 81
Step 3: We consider the new divisor 159 and the new remainder 81, and apply the division lemma to get
159 = 81 x 1 + 78
We consider the new divisor 81 and the new remainder 78,and apply the division lemma to get
81 = 78 x 1 + 3
We consider the new divisor 78 and the new remainder 3,and apply the division lemma to get
78 = 3 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8937 and 399 is 3
Notice that 3 = HCF(78,3) = HCF(81,78) = HCF(159,81) = HCF(399,159) = HCF(8937,399) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8937, 399 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 8937, 399?
Answer: HCF of 8937, 399 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8937, 399 using Euclid's Algorithm?
Answer: For arbitrary numbers 8937, 399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.