Highest Common Factor of 765, 982, 843 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 765, 982, 843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 765, 982, 843 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 765, 982, 843 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 765, 982, 843 is 1.
HCF(765, 982, 843) = 1
HCF of 765, 982, 843 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 765, 982, 843 is 1.
Highest Common Factor of 765,982,843 is 1
Step 1: Since 982 > 765, we apply the division lemma to 982 and 765, to get
982 = 765 x 1 + 217
Step 2: Since the reminder 765 ≠ 0, we apply division lemma to 217 and 765, to get
765 = 217 x 3 + 114
Step 3: We consider the new divisor 217 and the new remainder 114, and apply the division lemma to get
217 = 114 x 1 + 103
We consider the new divisor 114 and the new remainder 103,and apply the division lemma to get
114 = 103 x 1 + 11
We consider the new divisor 103 and the new remainder 11,and apply the division lemma to get
103 = 11 x 9 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 765 and 982 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(103,11) = HCF(114,103) = HCF(217,114) = HCF(765,217) = HCF(982,765) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 843 > 1, we apply the division lemma to 843 and 1, to get
843 = 1 x 843 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 843 is 1
Notice that 1 = HCF(843,1) .
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Frequently Asked Questions on HCF of 765, 982, 843 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 765, 982, 843?
Answer: HCF of 765, 982, 843 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 765, 982, 843 using Euclid's Algorithm?
Answer: For arbitrary numbers 765, 982, 843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.