Highest Common Factor of 683, 942 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 683, 942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 683, 942 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 683, 942 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 683, 942 is 1.
HCF(683, 942) = 1
HCF of 683, 942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 683, 942 is 1.
Highest Common Factor of 683,942 is 1
Step 1: Since 942 > 683, we apply the division lemma to 942 and 683, to get
942 = 683 x 1 + 259
Step 2: Since the reminder 683 ≠ 0, we apply division lemma to 259 and 683, to get
683 = 259 x 2 + 165
Step 3: We consider the new divisor 259 and the new remainder 165, and apply the division lemma to get
259 = 165 x 1 + 94
We consider the new divisor 165 and the new remainder 94,and apply the division lemma to get
165 = 94 x 1 + 71
We consider the new divisor 94 and the new remainder 71,and apply the division lemma to get
94 = 71 x 1 + 23
We consider the new divisor 71 and the new remainder 23,and apply the division lemma to get
71 = 23 x 3 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 683 and 942 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(71,23) = HCF(94,71) = HCF(165,94) = HCF(259,165) = HCF(683,259) = HCF(942,683) .
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Frequently Asked Questions on HCF of 683, 942 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 683, 942?
Answer: HCF of 683, 942 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 683, 942 using Euclid's Algorithm?
Answer: For arbitrary numbers 683, 942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.