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 5607, 2372, 28451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5607, 2372, 28451 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 5607, 2372, 28451 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 5607, 2372, 28451 is 1.
HCF(5607, 2372, 28451) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5607, 2372, 28451 is 1.
Step 1: Since 5607 > 2372, we apply the division lemma to 5607 and 2372, to get
5607 = 2372 x 2 + 863
Step 2: Since the reminder 2372 ≠ 0, we apply division lemma to 863 and 2372, to get
2372 = 863 x 2 + 646
Step 3: We consider the new divisor 863 and the new remainder 646, and apply the division lemma to get
863 = 646 x 1 + 217
We consider the new divisor 646 and the new remainder 217,and apply the division lemma to get
646 = 217 x 2 + 212
We consider the new divisor 217 and the new remainder 212,and apply the division lemma to get
217 = 212 x 1 + 5
We consider the new divisor 212 and the new remainder 5,and apply the division lemma to get
212 = 5 x 42 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5607 and 2372 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(212,5) = HCF(217,212) = HCF(646,217) = HCF(863,646) = HCF(2372,863) = HCF(5607,2372) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28451 > 1, we apply the division lemma to 28451 and 1, to get
28451 = 1 x 28451 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28451 is 1
Notice that 1 = HCF(28451,1) .
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 5607, 2372, 28451?
Answer: HCF of 5607, 2372, 28451 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5607, 2372, 28451 using Euclid's Algorithm?
Answer: For arbitrary numbers 5607, 2372, 28451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.