Highest Common Factor of 332, 8084 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 332, 8084 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 332, 8084 is 4 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 332, 8084 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 332, 8084 is 4.
HCF(332, 8084) = 4
HCF of 332, 8084 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 332, 8084 is 4.
Highest Common Factor of 332,8084 is 4
Step 1: Since 8084 > 332, we apply the division lemma to 8084 and 332, to get
8084 = 332 x 24 + 116
Step 2: Since the reminder 332 ≠ 0, we apply division lemma to 116 and 332, to get
332 = 116 x 2 + 100
Step 3: We consider the new divisor 116 and the new remainder 100, and apply the division lemma to get
116 = 100 x 1 + 16
We consider the new divisor 100 and the new remainder 16,and apply the division lemma to get
100 = 16 x 6 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 332 and 8084 is 4
Notice that 4 = HCF(16,4) = HCF(100,16) = HCF(116,100) = HCF(332,116) = HCF(8084,332) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 332, 8084 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 332, 8084?
Answer: HCF of 332, 8084 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 332, 8084 using Euclid's Algorithm?
Answer: For arbitrary numbers 332, 8084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.