Highest Common Factor of 7605, 4923 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 7605, 4923 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 7605, 4923 is 9 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 7605, 4923 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 7605, 4923 is 9.
HCF(7605, 4923) = 9
HCF of 7605, 4923 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7605, 4923 is 9.
Highest Common Factor of 7605,4923 is 9
Step 1: Since 7605 > 4923, we apply the division lemma to 7605 and 4923, to get
7605 = 4923 x 1 + 2682
Step 2: Since the reminder 4923 ≠ 0, we apply division lemma to 2682 and 4923, to get
4923 = 2682 x 1 + 2241
Step 3: We consider the new divisor 2682 and the new remainder 2241, and apply the division lemma to get
2682 = 2241 x 1 + 441
We consider the new divisor 2241 and the new remainder 441,and apply the division lemma to get
2241 = 441 x 5 + 36
We consider the new divisor 441 and the new remainder 36,and apply the division lemma to get
441 = 36 x 12 + 9
We consider the new divisor 36 and the new remainder 9,and apply the division lemma to get
36 = 9 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 7605 and 4923 is 9
Notice that 9 = HCF(36,9) = HCF(441,36) = HCF(2241,441) = HCF(2682,2241) = HCF(4923,2682) = HCF(7605,4923) .
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Frequently Asked Questions on HCF of 7605, 4923 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 7605, 4923?
Answer: HCF of 7605, 4923 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7605, 4923 using Euclid's Algorithm?
Answer: For arbitrary numbers 7605, 4923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.