Highest Common Factor of 7603, 9930 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 7603, 9930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7603, 9930 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 7603, 9930 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 7603, 9930 is 1.
HCF(7603, 9930) = 1
HCF of 7603, 9930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7603, 9930 is 1.
Highest Common Factor of 7603,9930 is 1
Step 1: Since 9930 > 7603, we apply the division lemma to 9930 and 7603, to get
9930 = 7603 x 1 + 2327
Step 2: Since the reminder 7603 ≠ 0, we apply division lemma to 2327 and 7603, to get
7603 = 2327 x 3 + 622
Step 3: We consider the new divisor 2327 and the new remainder 622, and apply the division lemma to get
2327 = 622 x 3 + 461
We consider the new divisor 622 and the new remainder 461,and apply the division lemma to get
622 = 461 x 1 + 161
We consider the new divisor 461 and the new remainder 161,and apply the division lemma to get
461 = 161 x 2 + 139
We consider the new divisor 161 and the new remainder 139,and apply the division lemma to get
161 = 139 x 1 + 22
We consider the new divisor 139 and the new remainder 22,and apply the division lemma to get
139 = 22 x 6 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7603 and 9930 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(139,22) = HCF(161,139) = HCF(461,161) = HCF(622,461) = HCF(2327,622) = HCF(7603,2327) = HCF(9930,7603) .
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Frequently Asked Questions on HCF of 7603, 9930 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 7603, 9930?
Answer: HCF of 7603, 9930 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7603, 9930 using Euclid's Algorithm?
Answer: For arbitrary numbers 7603, 9930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.