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 9547, 1230 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9547, 1230 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 9547, 1230 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 9547, 1230 is 1.
HCF(9547, 1230) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9547, 1230 is 1.
Step 1: Since 9547 > 1230, we apply the division lemma to 9547 and 1230, to get
9547 = 1230 x 7 + 937
Step 2: Since the reminder 1230 ≠ 0, we apply division lemma to 937 and 1230, to get
1230 = 937 x 1 + 293
Step 3: We consider the new divisor 937 and the new remainder 293, and apply the division lemma to get
937 = 293 x 3 + 58
We consider the new divisor 293 and the new remainder 58,and apply the division lemma to get
293 = 58 x 5 + 3
We consider the new divisor 58 and the new remainder 3,and apply the division lemma to get
58 = 3 x 19 + 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 9547 and 1230 is 1
Notice that 1 = HCF(3,1) = HCF(58,3) = HCF(293,58) = HCF(937,293) = HCF(1230,937) = HCF(9547,1230) .
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 9547, 1230?
Answer: HCF of 9547, 1230 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9547, 1230 using Euclid's Algorithm?
Answer: For arbitrary numbers 9547, 1230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.