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 4511, 5191, 17002 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4511, 5191, 17002 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 4511, 5191, 17002 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 4511, 5191, 17002 is 1.
HCF(4511, 5191, 17002) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4511, 5191, 17002 is 1.
Step 1: Since 5191 > 4511, we apply the division lemma to 5191 and 4511, to get
5191 = 4511 x 1 + 680
Step 2: Since the reminder 4511 ≠ 0, we apply division lemma to 680 and 4511, to get
4511 = 680 x 6 + 431
Step 3: We consider the new divisor 680 and the new remainder 431, and apply the division lemma to get
680 = 431 x 1 + 249
We consider the new divisor 431 and the new remainder 249,and apply the division lemma to get
431 = 249 x 1 + 182
We consider the new divisor 249 and the new remainder 182,and apply the division lemma to get
249 = 182 x 1 + 67
We consider the new divisor 182 and the new remainder 67,and apply the division lemma to get
182 = 67 x 2 + 48
We consider the new divisor 67 and the new remainder 48,and apply the division lemma to get
67 = 48 x 1 + 19
We consider the new divisor 48 and the new remainder 19,and apply the division lemma to get
48 = 19 x 2 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4511 and 5191 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(48,19) = HCF(67,48) = HCF(182,67) = HCF(249,182) = HCF(431,249) = HCF(680,431) = HCF(4511,680) = HCF(5191,4511) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17002 > 1, we apply the division lemma to 17002 and 1, to get
17002 = 1 x 17002 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17002 is 1
Notice that 1 = HCF(17002,1) .
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 4511, 5191, 17002?
Answer: HCF of 4511, 5191, 17002 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4511, 5191, 17002 using Euclid's Algorithm?
Answer: For arbitrary numbers 4511, 5191, 17002 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.