Highest Common Factor of 9584, 8151 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 9584, 8151 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9584, 8151 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 9584, 8151 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 9584, 8151 is 1.
HCF(9584, 8151) = 1
HCF of 9584, 8151 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9584, 8151 is 1.
Highest Common Factor of 9584,8151 is 1
Step 1: Since 9584 > 8151, we apply the division lemma to 9584 and 8151, to get
9584 = 8151 x 1 + 1433
Step 2: Since the reminder 8151 ≠ 0, we apply division lemma to 1433 and 8151, to get
8151 = 1433 x 5 + 986
Step 3: We consider the new divisor 1433 and the new remainder 986, and apply the division lemma to get
1433 = 986 x 1 + 447
We consider the new divisor 986 and the new remainder 447,and apply the division lemma to get
986 = 447 x 2 + 92
We consider the new divisor 447 and the new remainder 92,and apply the division lemma to get
447 = 92 x 4 + 79
We consider the new divisor 92 and the new remainder 79,and apply the division lemma to get
92 = 79 x 1 + 13
We consider the new divisor 79 and the new remainder 13,and apply the division lemma to get
79 = 13 x 6 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9584 and 8151 is 1
Notice that 1 = HCF(13,1) = HCF(79,13) = HCF(92,79) = HCF(447,92) = HCF(986,447) = HCF(1433,986) = HCF(8151,1433) = HCF(9584,8151) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9584, 8151 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 9584, 8151?
Answer: HCF of 9584, 8151 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9584, 8151 using Euclid's Algorithm?
Answer: For arbitrary numbers 9584, 8151 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
