Highest Common Factor of 9968, 4615 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 9968, 4615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9968, 4615 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 9968, 4615 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 9968, 4615 is 1.
HCF(9968, 4615) = 1
HCF of 9968, 4615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9968, 4615 is 1.
Highest Common Factor of 9968,4615 is 1
Step 1: Since 9968 > 4615, we apply the division lemma to 9968 and 4615, to get
9968 = 4615 x 2 + 738
Step 2: Since the reminder 4615 ≠ 0, we apply division lemma to 738 and 4615, to get
4615 = 738 x 6 + 187
Step 3: We consider the new divisor 738 and the new remainder 187, and apply the division lemma to get
738 = 187 x 3 + 177
We consider the new divisor 187 and the new remainder 177,and apply the division lemma to get
187 = 177 x 1 + 10
We consider the new divisor 177 and the new remainder 10,and apply the division lemma to get
177 = 10 x 17 + 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 9968 and 4615 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(177,10) = HCF(187,177) = HCF(738,187) = HCF(4615,738) = HCF(9968,4615) .
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Frequently Asked Questions on HCF of 9968, 4615 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 9968, 4615?
Answer: HCF of 9968, 4615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9968, 4615 using Euclid's Algorithm?
Answer: For arbitrary numbers 9968, 4615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.