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 9837, 9407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9837, 9407 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 9837, 9407 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 9837, 9407 is 1.
HCF(9837, 9407) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9837, 9407 is 1.
Step 1: Since 9837 > 9407, we apply the division lemma to 9837 and 9407, to get
9837 = 9407 x 1 + 430
Step 2: Since the reminder 9407 ≠ 0, we apply division lemma to 430 and 9407, to get
9407 = 430 x 21 + 377
Step 3: We consider the new divisor 430 and the new remainder 377, and apply the division lemma to get
430 = 377 x 1 + 53
We consider the new divisor 377 and the new remainder 53,and apply the division lemma to get
377 = 53 x 7 + 6
We consider the new divisor 53 and the new remainder 6,and apply the division lemma to get
53 = 6 x 8 + 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 9837 and 9407 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(53,6) = HCF(377,53) = HCF(430,377) = HCF(9407,430) = HCF(9837,9407) .
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 9837, 9407?
Answer: HCF of 9837, 9407 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9837, 9407 using Euclid's Algorithm?
Answer: For arbitrary numbers 9837, 9407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.