Highest Common Factor of 9679, 4481 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 9679, 4481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9679, 4481 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 9679, 4481 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 9679, 4481 is 1.
HCF(9679, 4481) = 1
HCF of 9679, 4481 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9679, 4481 is 1.
Highest Common Factor of 9679,4481 is 1
Step 1: Since 9679 > 4481, we apply the division lemma to 9679 and 4481, to get
9679 = 4481 x 2 + 717
Step 2: Since the reminder 4481 ≠ 0, we apply division lemma to 717 and 4481, to get
4481 = 717 x 6 + 179
Step 3: We consider the new divisor 717 and the new remainder 179, and apply the division lemma to get
717 = 179 x 4 + 1
We consider the new divisor 179 and the new remainder 1, and apply the division lemma to get
179 = 1 x 179 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9679 and 4481 is 1
Notice that 1 = HCF(179,1) = HCF(717,179) = HCF(4481,717) = HCF(9679,4481) .
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Frequently Asked Questions on HCF of 9679, 4481 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 9679, 4481?
Answer: HCF of 9679, 4481 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9679, 4481 using Euclid's Algorithm?
Answer: For arbitrary numbers 9679, 4481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.