Highest Common Factor of 9791, 705 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 9791, 705 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9791, 705 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 9791, 705 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 9791, 705 is 1.
HCF(9791, 705) = 1
HCF of 9791, 705 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9791, 705 is 1.
Highest Common Factor of 9791,705 is 1
Step 1: Since 9791 > 705, we apply the division lemma to 9791 and 705, to get
9791 = 705 x 13 + 626
Step 2: Since the reminder 705 ≠ 0, we apply division lemma to 626 and 705, to get
705 = 626 x 1 + 79
Step 3: We consider the new divisor 626 and the new remainder 79, and apply the division lemma to get
626 = 79 x 7 + 73
We consider the new divisor 79 and the new remainder 73,and apply the division lemma to get
79 = 73 x 1 + 6
We consider the new divisor 73 and the new remainder 6,and apply the division lemma to get
73 = 6 x 12 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9791 and 705 is 1
Notice that 1 = HCF(6,1) = HCF(73,6) = HCF(79,73) = HCF(626,79) = HCF(705,626) = HCF(9791,705) .
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Frequently Asked Questions on HCF of 9791, 705 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 9791, 705?
Answer: HCF of 9791, 705 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9791, 705 using Euclid's Algorithm?
Answer: For arbitrary numbers 9791, 705 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.