Highest Common Factor of 9522, 7775 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 9522, 7775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9522, 7775 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 9522, 7775 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 9522, 7775 is 1.
HCF(9522, 7775) = 1
HCF of 9522, 7775 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9522, 7775 is 1.
Highest Common Factor of 9522,7775 is 1
Step 1: Since 9522 > 7775, we apply the division lemma to 9522 and 7775, to get
9522 = 7775 x 1 + 1747
Step 2: Since the reminder 7775 ≠ 0, we apply division lemma to 1747 and 7775, to get
7775 = 1747 x 4 + 787
Step 3: We consider the new divisor 1747 and the new remainder 787, and apply the division lemma to get
1747 = 787 x 2 + 173
We consider the new divisor 787 and the new remainder 173,and apply the division lemma to get
787 = 173 x 4 + 95
We consider the new divisor 173 and the new remainder 95,and apply the division lemma to get
173 = 95 x 1 + 78
We consider the new divisor 95 and the new remainder 78,and apply the division lemma to get
95 = 78 x 1 + 17
We consider the new divisor 78 and the new remainder 17,and apply the division lemma to get
78 = 17 x 4 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 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 9522 and 7775 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(78,17) = HCF(95,78) = HCF(173,95) = HCF(787,173) = HCF(1747,787) = HCF(7775,1747) = HCF(9522,7775) .
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Frequently Asked Questions on HCF of 9522, 7775 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 9522, 7775?
Answer: HCF of 9522, 7775 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9522, 7775 using Euclid's Algorithm?
Answer: For arbitrary numbers 9522, 7775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.