Highest Common Factor of 9713, 1506 using Euclid's algorithm
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 9713, 1506 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9713, 1506 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 9713, 1506 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 9713, 1506 is 1.
HCF(9713, 1506) = 1
HCF of 9713, 1506 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9713, 1506 is 1.
Highest Common Factor of 9713,1506 is 1
Step 1: Since 9713 > 1506, we apply the division lemma to 9713 and 1506, to get
9713 = 1506 x 6 + 677
Step 2: Since the reminder 1506 ≠ 0, we apply division lemma to 677 and 1506, to get
1506 = 677 x 2 + 152
Step 3: We consider the new divisor 677 and the new remainder 152, and apply the division lemma to get
677 = 152 x 4 + 69
We consider the new divisor 152 and the new remainder 69,and apply the division lemma to get
152 = 69 x 2 + 14
We consider the new divisor 69 and the new remainder 14,and apply the division lemma to get
69 = 14 x 4 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9713 and 1506 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(69,14) = HCF(152,69) = HCF(677,152) = HCF(1506,677) = HCF(9713,1506) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9713, 1506 using Euclid's Algorithm
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 9713, 1506?
Answer: HCF of 9713, 1506 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9713, 1506 using Euclid's Algorithm?
Answer: For arbitrary numbers 9713, 1506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
