Highest Common Factor of 8448, 9662 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 8448, 9662 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8448, 9662 is 2 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 8448, 9662 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 8448, 9662 is 2.
HCF(8448, 9662) = 2
HCF of 8448, 9662 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8448, 9662 is 2.
Highest Common Factor of 8448,9662 is 2
Step 1: Since 9662 > 8448, we apply the division lemma to 9662 and 8448, to get
9662 = 8448 x 1 + 1214
Step 2: Since the reminder 8448 ≠ 0, we apply division lemma to 1214 and 8448, to get
8448 = 1214 x 6 + 1164
Step 3: We consider the new divisor 1214 and the new remainder 1164, and apply the division lemma to get
1214 = 1164 x 1 + 50
We consider the new divisor 1164 and the new remainder 50,and apply the division lemma to get
1164 = 50 x 23 + 14
We consider the new divisor 50 and the new remainder 14,and apply the division lemma to get
50 = 14 x 3 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8448 and 9662 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(50,14) = HCF(1164,50) = HCF(1214,1164) = HCF(8448,1214) = HCF(9662,8448) .
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Frequently Asked Questions on HCF of 8448, 9662 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 8448, 9662?
Answer: HCF of 8448, 9662 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8448, 9662 using Euclid's Algorithm?
Answer: For arbitrary numbers 8448, 9662 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.