Highest Common Factor of 9669, 8478 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 9669, 8478 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9669, 8478 is 3 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 9669, 8478 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 9669, 8478 is 3.
HCF(9669, 8478) = 3
HCF of 9669, 8478 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9669, 8478 is 3.
Highest Common Factor of 9669,8478 is 3
Step 1: Since 9669 > 8478, we apply the division lemma to 9669 and 8478, to get
9669 = 8478 x 1 + 1191
Step 2: Since the reminder 8478 ≠ 0, we apply division lemma to 1191 and 8478, to get
8478 = 1191 x 7 + 141
Step 3: We consider the new divisor 1191 and the new remainder 141, and apply the division lemma to get
1191 = 141 x 8 + 63
We consider the new divisor 141 and the new remainder 63,and apply the division lemma to get
141 = 63 x 2 + 15
We consider the new divisor 63 and the new remainder 15,and apply the division lemma to get
63 = 15 x 4 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9669 and 8478 is 3
Notice that 3 = HCF(15,3) = HCF(63,15) = HCF(141,63) = HCF(1191,141) = HCF(8478,1191) = HCF(9669,8478) .
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Frequently Asked Questions on HCF of 9669, 8478 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 9669, 8478?
Answer: HCF of 9669, 8478 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9669, 8478 using Euclid's Algorithm?
Answer: For arbitrary numbers 9669, 8478 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.