Highest Common Factor of 8662, 9476 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 8662, 9476 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8662, 9476 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 8662, 9476 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 8662, 9476 is 2.
HCF(8662, 9476) = 2
HCF of 8662, 9476 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8662, 9476 is 2.
Highest Common Factor of 8662,9476 is 2
Step 1: Since 9476 > 8662, we apply the division lemma to 9476 and 8662, to get
9476 = 8662 x 1 + 814
Step 2: Since the reminder 8662 ≠ 0, we apply division lemma to 814 and 8662, to get
8662 = 814 x 10 + 522
Step 3: We consider the new divisor 814 and the new remainder 522, and apply the division lemma to get
814 = 522 x 1 + 292
We consider the new divisor 522 and the new remainder 292,and apply the division lemma to get
522 = 292 x 1 + 230
We consider the new divisor 292 and the new remainder 230,and apply the division lemma to get
292 = 230 x 1 + 62
We consider the new divisor 230 and the new remainder 62,and apply the division lemma to get
230 = 62 x 3 + 44
We consider the new divisor 62 and the new remainder 44,and apply the division lemma to get
62 = 44 x 1 + 18
We consider the new divisor 44 and the new remainder 18,and apply the division lemma to get
44 = 18 x 2 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8662 and 9476 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(44,18) = HCF(62,44) = HCF(230,62) = HCF(292,230) = HCF(522,292) = HCF(814,522) = HCF(8662,814) = HCF(9476,8662) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8662, 9476 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 8662, 9476?
Answer: HCF of 8662, 9476 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8662, 9476 using Euclid's Algorithm?
Answer: For arbitrary numbers 8662, 9476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
