Highest Common Factor of 4201, 9709 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 4201, 9709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4201, 9709 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 4201, 9709 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 4201, 9709 is 1.
HCF(4201, 9709) = 1
HCF of 4201, 9709 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4201, 9709 is 1.
Highest Common Factor of 4201,9709 is 1
Step 1: Since 9709 > 4201, we apply the division lemma to 9709 and 4201, to get
9709 = 4201 x 2 + 1307
Step 2: Since the reminder 4201 ≠ 0, we apply division lemma to 1307 and 4201, to get
4201 = 1307 x 3 + 280
Step 3: We consider the new divisor 1307 and the new remainder 280, and apply the division lemma to get
1307 = 280 x 4 + 187
We consider the new divisor 280 and the new remainder 187,and apply the division lemma to get
280 = 187 x 1 + 93
We consider the new divisor 187 and the new remainder 93,and apply the division lemma to get
187 = 93 x 2 + 1
We consider the new divisor 93 and the new remainder 1,and apply the division lemma to get
93 = 1 x 93 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4201 and 9709 is 1
Notice that 1 = HCF(93,1) = HCF(187,93) = HCF(280,187) = HCF(1307,280) = HCF(4201,1307) = HCF(9709,4201) .
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Frequently Asked Questions on HCF of 4201, 9709 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 4201, 9709?
Answer: HCF of 4201, 9709 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4201, 9709 using Euclid's Algorithm?
Answer: For arbitrary numbers 4201, 9709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.