Highest Common Factor of 9710, 4206 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 9710, 4206 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9710, 4206 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 9710, 4206 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 9710, 4206 is 2.
HCF(9710, 4206) = 2
HCF of 9710, 4206 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9710, 4206 is 2.
Highest Common Factor of 9710,4206 is 2
Step 1: Since 9710 > 4206, we apply the division lemma to 9710 and 4206, to get
9710 = 4206 x 2 + 1298
Step 2: Since the reminder 4206 ≠ 0, we apply division lemma to 1298 and 4206, to get
4206 = 1298 x 3 + 312
Step 3: We consider the new divisor 1298 and the new remainder 312, and apply the division lemma to get
1298 = 312 x 4 + 50
We consider the new divisor 312 and the new remainder 50,and apply the division lemma to get
312 = 50 x 6 + 12
We consider the new divisor 50 and the new remainder 12,and apply the division lemma to get
50 = 12 x 4 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9710 and 4206 is 2
Notice that 2 = HCF(12,2) = HCF(50,12) = HCF(312,50) = HCF(1298,312) = HCF(4206,1298) = HCF(9710,4206) .
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Frequently Asked Questions on HCF of 9710, 4206 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 9710, 4206?
Answer: HCF of 9710, 4206 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9710, 4206 using Euclid's Algorithm?
Answer: For arbitrary numbers 9710, 4206 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.