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 8519, 4411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8519, 4411 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 8519, 4411 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 8519, 4411 is 1.
HCF(8519, 4411) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8519, 4411 is 1.
Step 1: Since 8519 > 4411, we apply the division lemma to 8519 and 4411, to get
8519 = 4411 x 1 + 4108
Step 2: Since the reminder 4411 ≠ 0, we apply division lemma to 4108 and 4411, to get
4411 = 4108 x 1 + 303
Step 3: We consider the new divisor 4108 and the new remainder 303, and apply the division lemma to get
4108 = 303 x 13 + 169
We consider the new divisor 303 and the new remainder 169,and apply the division lemma to get
303 = 169 x 1 + 134
We consider the new divisor 169 and the new remainder 134,and apply the division lemma to get
169 = 134 x 1 + 35
We consider the new divisor 134 and the new remainder 35,and apply the division lemma to get
134 = 35 x 3 + 29
We consider the new divisor 35 and the new remainder 29,and apply the division lemma to get
35 = 29 x 1 + 6
We consider the new divisor 29 and the new remainder 6,and apply the division lemma to get
29 = 6 x 4 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8519 and 4411 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(29,6) = HCF(35,29) = HCF(134,35) = HCF(169,134) = HCF(303,169) = HCF(4108,303) = HCF(4411,4108) = HCF(8519,4411) .
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 8519, 4411?
Answer: HCF of 8519, 4411 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8519, 4411 using Euclid's Algorithm?
Answer: For arbitrary numbers 8519, 4411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.