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 9172, 5882 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9172, 5882 is 2 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 9172, 5882 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 9172, 5882 is 2.
HCF(9172, 5882) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9172, 5882 is 2.
Step 1: Since 9172 > 5882, we apply the division lemma to 9172 and 5882, to get
9172 = 5882 x 1 + 3290
Step 2: Since the reminder 5882 ≠ 0, we apply division lemma to 3290 and 5882, to get
5882 = 3290 x 1 + 2592
Step 3: We consider the new divisor 3290 and the new remainder 2592, and apply the division lemma to get
3290 = 2592 x 1 + 698
We consider the new divisor 2592 and the new remainder 698,and apply the division lemma to get
2592 = 698 x 3 + 498
We consider the new divisor 698 and the new remainder 498,and apply the division lemma to get
698 = 498 x 1 + 200
We consider the new divisor 498 and the new remainder 200,and apply the division lemma to get
498 = 200 x 2 + 98
We consider the new divisor 200 and the new remainder 98,and apply the division lemma to get
200 = 98 x 2 + 4
We consider the new divisor 98 and the new remainder 4,and apply the division lemma to get
98 = 4 x 24 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9172 and 5882 is 2
Notice that 2 = HCF(4,2) = HCF(98,4) = HCF(200,98) = HCF(498,200) = HCF(698,498) = HCF(2592,698) = HCF(3290,2592) = HCF(5882,3290) = HCF(9172,5882) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9172, 5882?
Answer: HCF of 9172, 5882 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9172, 5882 using Euclid's Algorithm?
Answer: For arbitrary numbers 9172, 5882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.