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 9706, 5058 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9706, 5058 is 2 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 9706, 5058 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 9706, 5058 is 2.
HCF(9706, 5058) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9706, 5058 is 2.
Step 1: Since 9706 > 5058, we apply the division lemma to 9706 and 5058, to get
9706 = 5058 x 1 + 4648
Step 2: Since the reminder 5058 ≠ 0, we apply division lemma to 4648 and 5058, to get
5058 = 4648 x 1 + 410
Step 3: We consider the new divisor 4648 and the new remainder 410, and apply the division lemma to get
4648 = 410 x 11 + 138
We consider the new divisor 410 and the new remainder 138,and apply the division lemma to get
410 = 138 x 2 + 134
We consider the new divisor 138 and the new remainder 134,and apply the division lemma to get
138 = 134 x 1 + 4
We consider the new divisor 134 and the new remainder 4,and apply the division lemma to get
134 = 4 x 33 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9706 and 5058 is 2
Notice that 2 = HCF(4,2) = HCF(134,4) = HCF(138,134) = HCF(410,138) = HCF(4648,410) = HCF(5058,4648) = HCF(9706,5058) .
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 9706, 5058?
Answer: HCF of 9706, 5058 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9706, 5058 using Euclid's Algorithm?
Answer: For arbitrary numbers 9706, 5058 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.