Highest Common Factor of 7606, 4075 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 7606, 4075 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7606, 4075 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 7606, 4075 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 7606, 4075 is 1.
HCF(7606, 4075) = 1
HCF of 7606, 4075 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7606, 4075 is 1.
Highest Common Factor of 7606,4075 is 1
Step 1: Since 7606 > 4075, we apply the division lemma to 7606 and 4075, to get
7606 = 4075 x 1 + 3531
Step 2: Since the reminder 4075 ≠ 0, we apply division lemma to 3531 and 4075, to get
4075 = 3531 x 1 + 544
Step 3: We consider the new divisor 3531 and the new remainder 544, and apply the division lemma to get
3531 = 544 x 6 + 267
We consider the new divisor 544 and the new remainder 267,and apply the division lemma to get
544 = 267 x 2 + 10
We consider the new divisor 267 and the new remainder 10,and apply the division lemma to get
267 = 10 x 26 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7606 and 4075 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(267,10) = HCF(544,267) = HCF(3531,544) = HCF(4075,3531) = HCF(7606,4075) .
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Frequently Asked Questions on HCF of 7606, 4075 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 7606, 4075?
Answer: HCF of 7606, 4075 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7606, 4075 using Euclid's Algorithm?
Answer: For arbitrary numbers 7606, 4075 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.