Highest Common Factor of 9607, 4010 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 9607, 4010 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9607, 4010 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 9607, 4010 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 9607, 4010 is 1.
HCF(9607, 4010) = 1
HCF of 9607, 4010 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9607, 4010 is 1.
Highest Common Factor of 9607,4010 is 1
Step 1: Since 9607 > 4010, we apply the division lemma to 9607 and 4010, to get
9607 = 4010 x 2 + 1587
Step 2: Since the reminder 4010 ≠ 0, we apply division lemma to 1587 and 4010, to get
4010 = 1587 x 2 + 836
Step 3: We consider the new divisor 1587 and the new remainder 836, and apply the division lemma to get
1587 = 836 x 1 + 751
We consider the new divisor 836 and the new remainder 751,and apply the division lemma to get
836 = 751 x 1 + 85
We consider the new divisor 751 and the new remainder 85,and apply the division lemma to get
751 = 85 x 8 + 71
We consider the new divisor 85 and the new remainder 71,and apply the division lemma to get
85 = 71 x 1 + 14
We consider the new divisor 71 and the new remainder 14,and apply the division lemma to get
71 = 14 x 5 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9607 and 4010 is 1
Notice that 1 = HCF(14,1) = HCF(71,14) = HCF(85,71) = HCF(751,85) = HCF(836,751) = HCF(1587,836) = HCF(4010,1587) = HCF(9607,4010) .
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Frequently Asked Questions on HCF of 9607, 4010 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 9607, 4010?
Answer: HCF of 9607, 4010 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9607, 4010 using Euclid's Algorithm?
Answer: For arbitrary numbers 9607, 4010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.