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 9786, 4303 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9786, 4303 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 9786, 4303 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 9786, 4303 is 1.
HCF(9786, 4303) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9786, 4303 is 1.
Step 1: Since 9786 > 4303, we apply the division lemma to 9786 and 4303, to get
9786 = 4303 x 2 + 1180
Step 2: Since the reminder 4303 ≠ 0, we apply division lemma to 1180 and 4303, to get
4303 = 1180 x 3 + 763
Step 3: We consider the new divisor 1180 and the new remainder 763, and apply the division lemma to get
1180 = 763 x 1 + 417
We consider the new divisor 763 and the new remainder 417,and apply the division lemma to get
763 = 417 x 1 + 346
We consider the new divisor 417 and the new remainder 346,and apply the division lemma to get
417 = 346 x 1 + 71
We consider the new divisor 346 and the new remainder 71,and apply the division lemma to get
346 = 71 x 4 + 62
We consider the new divisor 71 and the new remainder 62,and apply the division lemma to get
71 = 62 x 1 + 9
We consider the new divisor 62 and the new remainder 9,and apply the division lemma to get
62 = 9 x 6 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9786 and 4303 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(62,9) = HCF(71,62) = HCF(346,71) = HCF(417,346) = HCF(763,417) = HCF(1180,763) = HCF(4303,1180) = HCF(9786,4303) .
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 9786, 4303?
Answer: HCF of 9786, 4303 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9786, 4303 using Euclid's Algorithm?
Answer: For arbitrary numbers 9786, 4303 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.