Highest Common Factor of 683, 74857 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, 74857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 683, 74857 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, 74857 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, 74857 is 1.
HCF(683, 74857) = 1
HCF of 683, 74857 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, 74857 is 1.
Highest Common Factor of 683,74857 is 1
Step 1: Since 74857 > 683, we apply the division lemma to 74857 and 683, to get
74857 = 683 x 109 + 410
Step 2: Since the reminder 683 ≠ 0, we apply division lemma to 410 and 683, to get
683 = 410 x 1 + 273
Step 3: We consider the new divisor 410 and the new remainder 273, and apply the division lemma to get
410 = 273 x 1 + 137
We consider the new divisor 273 and the new remainder 137,and apply the division lemma to get
273 = 137 x 1 + 136
We consider the new divisor 137 and the new remainder 136,and apply the division lemma to get
137 = 136 x 1 + 1
We consider the new divisor 136 and the new remainder 1,and apply the division lemma to get
136 = 1 x 136 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 683 and 74857 is 1
Notice that 1 = HCF(136,1) = HCF(137,136) = HCF(273,137) = HCF(410,273) = HCF(683,410) = HCF(74857,683) .
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Frequently Asked Questions on HCF of 683, 74857 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, 74857?
Answer: HCF of 683, 74857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 683, 74857 using Euclid's Algorithm?
Answer: For arbitrary numbers 683, 74857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.