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 917, 4513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 917, 4513 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 917, 4513 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 917, 4513 is 1.
HCF(917, 4513) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 917, 4513 is 1.
Step 1: Since 4513 > 917, we apply the division lemma to 4513 and 917, to get
4513 = 917 x 4 + 845
Step 2: Since the reminder 917 ≠ 0, we apply division lemma to 845 and 917, to get
917 = 845 x 1 + 72
Step 3: We consider the new divisor 845 and the new remainder 72, and apply the division lemma to get
845 = 72 x 11 + 53
We consider the new divisor 72 and the new remainder 53,and apply the division lemma to get
72 = 53 x 1 + 19
We consider the new divisor 53 and the new remainder 19,and apply the division lemma to get
53 = 19 x 2 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 917 and 4513 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(53,19) = HCF(72,53) = HCF(845,72) = HCF(917,845) = HCF(4513,917) .
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 917, 4513?
Answer: HCF of 917, 4513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 917, 4513 using Euclid's Algorithm?
Answer: For arbitrary numbers 917, 4513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.