Highest Common Factor of 709, 9828 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 709, 9828 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 709, 9828 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 709, 9828 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 709, 9828 is 1.
HCF(709, 9828) = 1
HCF of 709, 9828 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 709, 9828 is 1.
Highest Common Factor of 709,9828 is 1
Step 1: Since 9828 > 709, we apply the division lemma to 9828 and 709, to get
9828 = 709 x 13 + 611
Step 2: Since the reminder 709 ≠ 0, we apply division lemma to 611 and 709, to get
709 = 611 x 1 + 98
Step 3: We consider the new divisor 611 and the new remainder 98, and apply the division lemma to get
611 = 98 x 6 + 23
We consider the new divisor 98 and the new remainder 23,and apply the division lemma to get
98 = 23 x 4 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 709 and 9828 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(98,23) = HCF(611,98) = HCF(709,611) = HCF(9828,709) .
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Frequently Asked Questions on HCF of 709, 9828 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 709, 9828?
Answer: HCF of 709, 9828 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 709, 9828 using Euclid's Algorithm?
Answer: For arbitrary numbers 709, 9828 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
